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text homomorphic encryption, Ostrovsky and Skeith proposed a solution to this problem in 2005. However,\n
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text their solution requires the server to send an answer of size O(mS logm) bits when m documents of S\n
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text bits match the query, while a regular (non-private) query only requires mS bits. Following this work,\n
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text t is the size of the database) and our second scheme m(S + C) where C is a constant depending only\n
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text on the chosen computational security level.\n
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text Keywords: privacy, keyword search, Reed-Solomon codes, LDPC codes.\n
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text 1 Introduction\n
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text Internet search engines are able to gather a lot of information on users from the content of the search\n
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text queries they make. Most users don’t really care about this, but more and more users would prefer\n
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text the servers not to learn anything from their query. This is the goal of Private Stream Search (PSS)\n
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text information about the keywords in the query. However, even if the number of users having concerns\n
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text state of the art results that improve significantly on current PSS schemes. Our first scheme uses\n
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text Reed-Solomon codes [15] and allows for a zero-error guarantee, while offering optimal communica-\n
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text tion rates. It can however be computationally heavy at the server. Our second scheme is based on\n
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text irregular LDPC codes [6,10] and is asymptotically optimal, thus interesting when a large number\n
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text of documents (in practice, a few hundreds) match the query. We also propose an offline-online\n
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text 2 Matthieu Finiasz and Kannan Ramchandran\n
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text scheme, with a higher offline computational cost, but which allows the online step to be as efficient\n
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text as a standard non-private search: the response suffers no latency and the communication overhead\n
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text remains minimal.\n
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text This article is organized in 3 sections. Section 2 contains a description of the orignal Ostrovsky-\n
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text Skeith PSS construction and of the Bethencourt et al. and Danezis and Dı́az improvements. Then,\n
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text in Section 3, we present our two new constructions and give some analysis of their performances.\n
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text Finally, in Section 4, we detail some further improvements that apply to our schemes, but also to\n
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text the previous PSS schemes.\n
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text 2 Previous Constructions\n
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text 2.1 Paillier’s Encryption Scheme\n
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text All known private stream search constructions require the use of homomorphic encryption and the\n
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text original Ostrovsky-Skeith construction relies on Paillier’s cryptosystem [14]. The new schemes we\n
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text present in Section 3 also rely on this scheme. Of course, any other homomorphic encryption scheme\n
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text could be used instead, with only minor modifications to the PSS schemes.\n
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text Paillier’s cryptosystem is a public key cryptosystem: in our PSS applications, a user and a\n
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text server will communicate, and all encryptions will be done with respect to the user’s key. We shall\n
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text denote by E : ZN 7→ Z 2 N Paillier’s encryption function and by D : Z 2 N 7→ ZN the associated\n
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text decryption function. As the encryption is randomized, the same message can have different asso-\n
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text ciated ciphertexts, decrypting to the same value. We thus introduce the notation y ≡ ′ y which is\n
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With these notations,\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 1, "line_id": 20266, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 99, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 99, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 10, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 10, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 11, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 11, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 18, "name": "size", "value": "10", "is_mergeable": true }, { "start": 14, "end": 18, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 19, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 19, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 22, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 22, "name": "style", "value": "AXUDEI+CMSY10", "is_mergeable": true }, { "start": 21, "end": 22, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 23, "end": 26, "name": "size", "value": "10", "is_mergeable": true }, { "start": 23, "end": 26, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 27, "end": 29, "name": "size", "value": "10", "is_mergeable": true }, { "start": 27, "end": 29, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 30, "end": 31, "name": "size", "value": "10", "is_mergeable": true }, { "start": 30, "end": 31, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 30, "end": 31, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 32, "end": 35, "name": "size", "value": "10", "is_mergeable": true }, { "start": 32, "end": 35, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 36, "end": 37, "name": "size", "value": "10", "is_mergeable": true }, { "start": 36, "end": 37, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 36, "end": 37, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 38, "end": 39, "name": "size", "value": "10", "is_mergeable": true }, { "start": 38, "end": 39, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 40, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 40, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 55, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 55, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 56, "end": 58, "name": "size", "value": "10", "is_mergeable": true }, { "start": 56, "end": 58, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 59, "end": 62, "name": "size", "value": "10", "is_mergeable": true }, { "start": 59, "end": 62, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 63, "end": 67, "name": "size", "value": "10", "is_mergeable": true }, { "start": 63, "end": 67, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 68, "end": 76, "name": "size", "value": "10", "is_mergeable": true }, { "start": 68, "end": 76, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 77, "end": 81, "name": "size", "value": "10", "is_mergeable": true }, { "start": 77, "end": 81, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 82, "end": 87, "name": "size", "value": "10", "is_mergeable": true }, { "start": 82, "end": 87, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 88, "end": 98, "name": "size", "value": "10", "is_mergeable": true }, { "start": 88, "end": 98, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 99, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.4671717171717172, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_20266", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 1
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text equivalent to D(y) = ′ D(y ): y and ′ y are encryptions of the same message. With these notations,\n
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text the homomorphic property can be expressed as:\n
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text E(x )× 1 E(x ) 2 ≡ E(x1 + x ) 2 and c E(x) ≡ E(c× x) for any c ∈ ZN .\n
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text Additionally, Paillier’s cryptosystem is semantically secure, so the server cannot distinguish between\n
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text E(0) and E(1). For simplicity, we will consider that N is 1024 bits long, but it should of course be\n
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text chosen according to the required security level.\n
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text The Damg̊ard-Jurik Extension. Semantic security requires a randomized encryption, which\n
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text necessarily induces a message expansion: the ciphertext is larger than the associated message.\n
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text Paillier’s cryptosystem has a constant expansion factor of 2, for small messages of logN bits, but\n
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text also for longer messages spanning several encrypted blocks.\n
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text To improve this, Damg̊ard and Jurik [3] proposed a variant of Paillier’s homomorphic encryption\n
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text Using the Damg̊ard-Jurik encryption scheme with a modulus N of 1024 bits, the communication\n
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text overhead is 1024 bits whatever the message size. More generally, this overhead is a constant C\n
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text depending only on the required security level.\n
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text 2.2 The Ostrovsky-Skeith Construction\n
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text A private stream search algorithm works in three steps: first the user builds a query and sends it to\n
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text the server, then the server executes the query which outputs a result that it sends back to the user,\n
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text finally the user extracts the queried documents from the result he received. Here is the description\n
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text of these three algorithms for the original PSS scheme from Ostrovsky and Skeith [12].\n
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text Communication Optimal Private Stream Search 3\n
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text Query Construction. Let Ω = {w , 1 w , 2 . . . , w } |Ω| be the dictionary of possible keywords and K ⊆ Ω\n
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The query is Q = {q , 1 q , 2 . . . , q }, |Ω| where qj =\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30052, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 106, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 106, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 2, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 3, "end": 6, "name": "size", "value": "10", "is_mergeable": true }, { "start": 3, "end": 6, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 7, "end": 10, "name": "size", "value": "10", "is_mergeable": true }, { "start": 7, "end": 10, 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text be the set of keywords the user wants to query. The query is Q = {q , 1 q , 2 . . . , q }, |Ω| where qj =\n
", "default_label": "not_paragraph" }, "109": { "id": 109, "task_path": "images/000042_000092_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30068.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 72, "y_top_left": 107, "width": 468, "height": 7 }, "name": "", "rotated_angle": 0.0 }, "order": 30068, "_line": "E(1 ) w ∈K j and 1 denotes the indicator function. The user thus sends an encrypted bit for each\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30068, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 97, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 97, "name": "spacing", "value": "6", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 5, "name": "size", "value": "7", "is_mergeable": true }, { "start": 4, "end": 5, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 4, "end": 5, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 6, "end": 7, "name": "size", "value": "7", "is_mergeable": true }, { "start": 6, "end": 7, "name": "style", "value": "GXPCBT+CMMI6", "is_mergeable": true }, { "start": 6, "end": 7, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 8, "end": 10, "name": "size", "value": "5", "is_mergeable": true }, { "start": 8, "end": 10, "name": "style", "value": "GXPCBT+CMMI6", "is_mergeable": true }, { "start": 8, "end": 10, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 11, "end": 12, "name": "size", "value": "5", "is_mergeable": true }, { "start": 11, "end": 12, "name": "style", "value": "GXPCBT+CMMI6", "is_mergeable": true }, { "start": 11, "end": 12, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 13, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 18, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 18, "name": "style", "value": "QSTXPN+CMBX10", "is_mergeable": true }, { "start": 17, "end": 18, "name": "bold", "value": "True", "is_mergeable": true }, { "start": 19, "end": 26, "name": "size", "value": "10", "is_mergeable": true }, { "start": 19, "end": 26, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 27, "end": 30, "name": "size", "value": "10", "is_mergeable": true }, { "start": 27, "end": 30, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 31, "end": 40, "name": "size", "value": "10", "is_mergeable": true }, { "start": 31, "end": 40, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 41, "end": 50, "name": "size", "value": "10", "is_mergeable": true }, { "start": 41, "end": 50, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 51, "end": 54, "name": "size", "value": "10", "is_mergeable": true }, { "start": 51, "end": 54, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 55, "end": 59, "name": "size", "value": "10", "is_mergeable": true }, { "start": 55, "end": 59, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 60, "end": 64, "name": "size", "value": "10", "is_mergeable": true }, { "start": 60, "end": 64, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 65, "end": 70, "name": "size", "value": "10", "is_mergeable": true }, { "start": 65, "end": 70, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 71, "end": 73, "name": "size", "value": "10", "is_mergeable": true }, { "start": 71, "end": 73, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 74, "end": 83, "name": "size", "value": "10", "is_mergeable": true }, { "start": 74, "end": 83, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 84, "end": 87, "name": "size", "value": "10", "is_mergeable": true }, { "start": 84, "end": 87, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 88, "end": 91, "name": "size", "value": "10", "is_mergeable": true }, { "start": 88, "end": 91, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 92, "end": 96, "name": "size", "value": "10", "is_mergeable": true }, { "start": 92, "end": 96, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 97, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.1351010101010101, \"width\": 0.7647058823529411, \"height\": 0.008838383838383838, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_30068", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 2
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text E(1 ) w ∈K j and 1 denotes the indicator function. The user thus sends an encrypted bit for each\n
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text element in the dictionary: this bit is 1 if the keyword is part of the user’s search, 0 otherwise.\n
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text As each encryption is independently randomized and due to the semantic security of Paillier’s\n
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text cryptosystem, the server cannot tell which of these encrypted bits are 1 and 0.\n
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text As part of the query, the user also sends m, the expected number of matching documents, and γ,\n
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text a reliability parameter (a larger γ gives a better probability of recovering all matching documents).\n
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text Query Execution. Upon receiving the query (Q,m, γ), the server first creates a buffer B of size\n
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text ℓ = γm and initializes each of its positions to the value 1 ≡ E(0).\n
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text Let us assume the database contains t documents. Then, for each document fi ∈ ZN in the\n
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text database, the server computes the set Wi ⊆ Ω of keywords in the dictionary that match document\n
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text f . i It then computes Fi =\n
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text (∏\n
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text w ∈W j i\n
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text qj\n
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text )fi ≡\n
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text ∏\n
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text 1w ∈K j the number\n
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text positions bi = {b , i,1 . . . , b } i,γ ⊂ [1,mγ] of the buffer B and updates each of these γ positions by\n
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text After processing all the documents in the database, the j-th buffer position will be equal to\n
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text Bj =\n
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text ∏\n
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text i F\n
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text 1j∈bi\n
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text i 1 c f i i j∈bi\n
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text )\n
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text , that is, the encryption of a linear combination of documents in\n
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text the database. This linear combination is sparse if only few documents match the query K, meaning\n
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text most of the ci are equal to 0. The server then sends the buffer B back to the user.\n
", "default_label": "not_paragraph" }, "153": { "id": 153, "task_path": "images/000042_000136_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30401.jpg", "labeled": [ "paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 88, "y_top_left": 390, "width": 451, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 30401, "_line": "In practice, everything happens as if the server had a random binary matrix H of size γm × t\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30401, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 93, "name": "indentation", "value": "88", "is_mergeable": true }, { "start": 0, "end": 93, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": 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text In practice, everything happens as if the server had a random binary matrix H of size γm × t\n
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text with γ ones in each column and it was computing B ≡ E(H × (c f ) ). i i i∈[1,t]\n
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text Document Extraction. When receiving the encrypted buffer B, the user starts by decrypting each\n
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text buffer position to get D(B ) j =\n
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text ∑\n
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text i 1 c f . i i j∈bi He then scans the γm decrypted buffer positions for\n
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text what we call singletons: buffer positions that contain only one file, that is, positions such that\n
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text 1 ci j∈bi = 0 for all but one value of i. The user discards all buffer positions that are not singletons\n
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text and extracts the value fi of one document from each singleton.\n
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text Asymptotic Cost. The encrypted buffer that is sent back by the server to the user has size γm.\n
", "default_label": "paragraph" }, "163": { "id": 163, "task_path": "images/000042_000146_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30530.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 72, "y_top_left": 534, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 30530, "_line": "In order for the user to recover the m matching documents with a high probability of success,\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30530, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 94, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 94, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 2, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 3, "end": 8, "name": "size", "value": "10", "is_mergeable": true }, { "start": 3, "end": 8, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 9, "end": 12, "name": "size", "value": "10", "is_mergeable": true }, { "start": 9, "end": 12, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 21, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 21, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 22, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 22, "end": 24, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 25, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 37, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 37, "end": 38, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 37, "end": 38, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 39, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 57, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 57, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 58, "end": 62, "name": "size", "value": "10", "is_mergeable": true }, { "start": 58, "end": 62, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 63, "end": 64, "name": "size", "value": "10", "is_mergeable": true }, { "start": 63, "end": 64, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 65, "end": 69, "name": "size", "value": "10", "is_mergeable": true }, { "start": 65, "end": 69, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 70, "end": 81, "name": "size", "value": "10", "is_mergeable": true }, { "start": 70, "end": 81, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 82, "end": 84, "name": "size", "value": "10", "is_mergeable": true }, { "start": 82, "end": 84, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 85, "end": 93, "name": "size", "value": "10", "is_mergeable": true }, { "start": 85, "end": 93, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 94, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.6742424242424242, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_30530", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 2
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text In order for the user to recover the m matching documents with a high probability of success,\n
", "default_label": "not_paragraph" }, "164": { "id": 164, "task_path": "images/000042_000147_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30547.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 72, "y_top_left": 547, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 30547, "_line": "γ must be of the order of O(logm). If documents are S bits long, using Paillier’s cryptosystem,\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30547, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 96, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 96, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 1, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 1, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 2, "end": 6, "name": "size", "value": "10", "is_mergeable": true }, { "start": 2, "end": 6, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 12, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 12, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 22, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 22, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 23, "end": 25, "name": "size", "value": "10", "is_mergeable": true }, { "start": 23, "end": 25, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 26, "end": 34, "name": "size", "value": "10", "is_mergeable": true }, { "start": 26, "end": 34, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 35, "end": 37, "name": "size", "value": "10", "is_mergeable": true }, { "start": 35, "end": 37, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 38, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 38, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 51, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 51, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 52, "end": 53, "name": "size", "value": "10", "is_mergeable": true }, { "start": 52, "end": 53, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 52, "end": 53, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 54, "end": 58, "name": "size", "value": "10", "is_mergeable": true }, { "start": 54, "end": 58, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 59, "end": 64, "name": "size", "value": "10", "is_mergeable": true }, { "start": 59, "end": 64, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 65, "end": 70, "name": "size", "value": "10", "is_mergeable": true }, { "start": 65, "end": 70, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 71, "end": 81, "name": "size", "value": "10", "is_mergeable": true }, { "start": 71, "end": 81, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 82, "end": 95, "name": "size", "value": "10", "is_mergeable": true }, { "start": 82, "end": 95, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 96, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.6906565656565656, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_30547", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 2
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text γ must be of the order of O(logm). If documents are S bits long, using Paillier’s cryptosystem,\n
", "default_label": "not_paragraph" }, "165": { "id": 165, "task_path": "images/000042_000148_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30563.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 72, "y_top_left": 561, "width": 468, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 30563, "_line": "encrypted buffer positions should be 2S bits long and the answer is thus of order 2mSO(logm).\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30563, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 93, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 93, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 15, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 15, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 16, "end": 25, "name": "size", "value": "10", "is_mergeable": true }, { "start": 16, "end": 25, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 26, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 26, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 35, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 35, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 36, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 36, "end": 38, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 36, "end": 38, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 39, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 48, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 48, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 49, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 49, "end": 52, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 53, "end": 56, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 56, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 57, "end": 63, "name": "size", "value": "10", "is_mergeable": true }, { "start": 57, "end": 63, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 64, "end": 66, "name": "size", "value": "10", "is_mergeable": true }, { "start": 64, "end": 66, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 67, "end": 71, "name": "size", "value": "10", "is_mergeable": true }, { "start": 67, "end": 71, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 72, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 72, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 92, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 92, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 93, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.7083333333333334, \"width\": 0.7647058823529411, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_30563", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 2
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text encrypted buffer positions should be 2S bits long and the answer is thus of order 2mSO(logm).\n
", "default_label": "not_paragraph" }, "166": { "id": 166, "task_path": "images/000042_000149_img_bbox_txt_a07cd9230110538d6746589cbdc45042_30578.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 2, "bbox": { "x_top_left": 71, "y_top_left": 575, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 30578, "_line": "It can be reduced to m(S + 1024)O(logm) using the Damg̊ard-Jurik extension (with a 1024-bits\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 2, "line_id": 30578, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 93, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 93, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 2, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 3, "end": 6, "name": "size", "value": "10", "is_mergeable": true }, { "start": 3, "end": 6, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 17, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 17, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 18, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 18, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 25, "end": 26, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 26, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 27, "end": 39, "name": "size", "value": "10", "is_mergeable": true }, { "start": 27, "end": 39, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 40, "end": 45, "name": "size", "value": "10", "is_mergeable": true }, { "start": 40, "end": 45, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 46, "end": 49, "name": "size", "value": "10", "is_mergeable": true }, { "start": 46, "end": 49, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 50, "end": 64, "name": "size", "value": "10", "is_mergeable": true }, { "start": 50, "end": 64, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 65, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 65, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 82, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 82, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 83, "end": 92, "name": "size", "value": "10", "is_mergeable": true }, { "start": 83, "end": 92, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 93, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.726010101010101, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_30578", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 2
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text It can be reduced to m(S + 1024)O(logm) using the Damg̊ard-Jurik extension (with a 1024-bits\n
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text – before processing the query, the server embeds the index i of each document inside f , i\n
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text 4 Matthieu Finiasz and Kannan Ramchandran\n
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text integer d is a parameter of the system. In terms of matrices, H is such that its i-th column is\n
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text Hi = h(i), a binary vector of Hamming weight d.\n
", "default_label": "not_paragraph" }, "181": { "id": 181, "task_path": "images/000042_000164_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40098.jpg", "labeled": [ "paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 88, "y_top_left": 156, "width": 451, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40098, "_line": "The main change that Danezis and Dı́az bring is a new document extraction algorithm. As in\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "raw_text" }, "page_id": 3, "line_id": 40098, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 91, "name": "indentation", "value": "88", "is_mergeable": true }, { "start": 0, "end": 91, "name": "spacing", "value": "14", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 8, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 8, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 9, "end": 15, "name": "size", "value": "10", "is_mergeable": true }, { "start": 9, "end": 15, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 16, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 16, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 28, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 28, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 29, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 29, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 38, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 39, "end": 44, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 44, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 45, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 45, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 49, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 49, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 50, "end": 53, "name": "size", "value": "10", "is_mergeable": true }, { "start": 50, "end": 53, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 54, "end": 62, "name": "size", "value": "10", "is_mergeable": true }, { "start": 54, "end": 62, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 63, "end": 73, "name": "size", "value": "10", "is_mergeable": true }, { "start": 63, "end": 73, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 74, "end": 84, "name": "size", "value": "10", "is_mergeable": true }, { "start": 74, "end": 84, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 85, "end": 87, "name": "size", "value": "10", "is_mergeable": true }, { "start": 85, "end": 87, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 88, "end": 90, "name": "size", "value": "10", "is_mergeable": true }, { "start": 88, "end": 90, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 91, "name": "bounding box", "value": "{\"x_top_left\": 0.1437908496732026, \"y_top_left\": 0.19696969696969696, \"width\": 0.7369281045751634, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40098", "original_document": "1709714755_101.pdf", "color": "#f00" }, "additional_info": "page_id 3
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text The main change that Danezis and Dı́az bring is a new document extraction algorithm. As in\n
", "default_label": "paragraph" }, "182": { "id": 182, "task_path": "images/000042_000165_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40112.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 71, "y_top_left": 170, "width": 468, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40112, "_line": "the Ostrovsky-Skeith construction, the user starts by looking for singletons and extracts the value\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40112, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 100, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 100, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 34, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 34, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 35, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 35, "end": 38, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 39, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 50, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 50, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 51, "end": 53, "name": "size", "value": "10", "is_mergeable": true }, { "start": 51, "end": 53, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 54, "end": 61, "name": "size", "value": "10", "is_mergeable": true }, { "start": 54, "end": 61, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 62, "end": 65, "name": "size", "value": "10", "is_mergeable": true }, { "start": 62, "end": 65, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 66, "end": 76, "name": "size", "value": "10", "is_mergeable": true }, { "start": 66, "end": 76, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 77, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 77, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 89, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 89, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 90, "end": 93, "name": "size", "value": "10", "is_mergeable": true }, { "start": 90, "end": 93, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 94, "end": 99, "name": "size", "value": "10", "is_mergeable": true }, { "start": 94, "end": 99, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 100, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.21464646464646464, \"width\": 0.7647058823529411, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40112", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
line_id 40112
text the Ostrovsky-Skeith construction, the user starts by looking for singletons and extracts the value\n
", "default_label": "not_paragraph" }, "183": { "id": 183, "task_path": "images/000042_000166_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40127.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 71, "y_top_left": 183, "width": 468, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40127, "_line": "of some documents from these singletons. However, now, each document also contains its index i,\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40127, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 96, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 96, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 2, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 3, "end": 7, "name": "size", "value": "10", "is_mergeable": true }, { "start": 3, "end": 7, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 8, "end": 17, "name": "size", "value": "10", "is_mergeable": true }, { "start": 8, "end": 17, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 18, "end": 22, "name": "size", "value": "10", "is_mergeable": true }, { "start": 18, "end": 22, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 23, "end": 28, "name": "size", "value": "10", "is_mergeable": true }, { "start": 23, "end": 28, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 29, "end": 40, "name": "size", "value": "10", "is_mergeable": true }, { "start": 29, "end": 40, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 41, "end": 49, "name": "size", "value": "10", "is_mergeable": true }, { "start": 41, "end": 49, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 50, "end": 54, "name": "size", "value": "10", "is_mergeable": true }, { "start": 50, "end": 54, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 55, "end": 59, "name": "size", "value": "10", "is_mergeable": true }, { "start": 55, "end": 59, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 60, "end": 68, "name": "size", "value": "10", "is_mergeable": true }, { "start": 60, "end": 68, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 69, "end": 73, "name": "size", "value": "10", "is_mergeable": true }, { "start": 69, "end": 73, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 74, "end": 82, "name": "size", "value": "10", "is_mergeable": true }, { "start": 74, "end": 82, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 83, "end": 86, "name": "size", "value": "10", "is_mergeable": true }, { "start": 83, "end": 86, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 87, "end": 92, "name": "size", "value": "10", "is_mergeable": true }, { "start": 87, "end": 92, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 93, "end": 95, "name": "size", "value": "10", "is_mergeable": true }, { "start": 93, "end": 95, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 96, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.23106060606060605, \"width\": 0.7647058823529411, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40127", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
line_id 40127
text of some documents from these singletons. However, now, each document also contains its index i,\n
", "default_label": "not_paragraph" }, "184": { "id": 184, "task_path": "images/000042_000167_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40145.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 72, "y_top_left": 197, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40145, "_line": "and from i, the user can generate Hi = h(i) and know exactly where this document was added\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40145, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 91, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 91, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 8, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 8, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 9, "end": 11, "name": "size", "value": "10", "is_mergeable": true }, { "start": 9, "end": 11, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 12, "end": 15, "name": "size", "value": "10", "is_mergeable": true }, { "start": 12, "end": 15, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 16, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 16, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 25, "end": 33, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 33, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 34, "end": 36, "name": "size", "value": "7", "is_mergeable": true }, { "start": 34, "end": 36, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 34, "end": 36, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 37, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 37, "end": 38, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 39, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 52, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 53, "end": 60, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 60, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 61, "end": 66, "name": "size", "value": "10", "is_mergeable": true }, { "start": 61, "end": 66, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 67, "end": 71, "name": "size", "value": "10", "is_mergeable": true }, { "start": 67, "end": 71, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 72, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 72, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 84, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 84, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 85, "end": 90, "name": "size", "value": "10", "is_mergeable": true }, { "start": 85, "end": 90, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 91, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.24873737373737373, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40145", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text and from i, the user can generate Hi = h(i) and know exactly where this document was added\n
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text in the buffer. He can thus completely remove any document he recovers from the buffer, thereby\n
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text uncovering new singletons. This simple iterative decoding algorithm allows for a much smaller buffer\n
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text than in the original scheme, while maintaining a decoding cost linear in the buffer size.\n
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text This algorithm was only empirically tested by Danezis and Dı́az, but their experimental results\n
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text In [1,2], Bethencourt, Song and Waters propose a completely different angle to improve on the\n
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text scheme and 2 for the Danezis-Dı́az variant.\n
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text Bethencourt et al. propose to use a similar scheme, but with 3 different buffers. The first buffer\n
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text will contain the value of the documents (and will thus scale with the size of the documents), and\n
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text the two other buffers are independent of the document size and are used to send the values of the\n
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text ci and the indexes i of the matching documents.\n
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text With this technique, Bethencourt et al. are able to achieve an asymptotic expansion rate of 1\n
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text (using the Damg̊ard-Jurik cryptosystem), but their technique suffers a few drawbacks:\n
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text – recovering the indexes i of matching documents relies on Bloom filters and requires the reply\n
", "default_label": "not_paragraph" }, "205": { "id": 205, "task_path": "images/000042_000188_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40431.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 88, "y_top_left": 503, "width": 107, "height": 1 }, "name": "", "rotated_angle": 0.0 }, "order": 40431, "_line": "to be of size O(m log t\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40431, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 24, "name": "indentation", "value": "88", "is_mergeable": true }, { "start": 0, "end": 24, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 2, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 2, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 3, "end": 5, "name": "size", "value": "10", "is_mergeable": true }, { "start": 3, "end": 5, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 6, "end": 8, "name": "size", "value": "10", "is_mergeable": true }, { "start": 6, "end": 8, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 9, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 9, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 17, "name": "size", "value": "10", "is_mergeable": true }, { "start": 14, "end": 17, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 14, "end": 17, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 18, "end": 21, "name": "size", "value": "10", "is_mergeable": true }, { "start": 18, "end": 21, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 22, "end": 23, "name": "size", "value": "7", "is_mergeable": true }, { "start": 22, "end": 23, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 22, "end": 23, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 0, "end": 24, "name": "bounding box", "value": "{\"x_top_left\": 0.1437908496732026, \"y_top_left\": 0.63510101010101, \"width\": 0.17483660130718953, \"height\": 0.0012626262626262627, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40431", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text to be of size O(m log t\n
", "default_label": "not_paragraph" }, "206": { "id": 206, "task_path": "images/000042_000189_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40446.jpg", "labeled": [ "Other" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 190, "y_top_left": 509, "width": 349, "height": 0 }, "name": "", "rotated_angle": 0.0 }, "order": 40446, "_line": ") m to have a good probability of success. This dependence in the size t of\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40446, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 76, "name": "indentation", "value": "190", "is_mergeable": true }, { "start": 0, "end": 76, "name": "spacing", "value": "4", "is_mergeable": true }, { "start": 0, "end": 1, "name": "size", "value": "7", "is_mergeable": true }, { "start": 0, "end": 1, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 2, "end": 3, "name": "size", "value": "7", "is_mergeable": true }, { "start": 2, "end": 3, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 2, "end": 3, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 4, "end": 6, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 6, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 7, "end": 11, "name": "size", "value": "10", "is_mergeable": true }, { "start": 7, "end": 11, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 12, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 12, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 18, "name": "size", "value": "10", "is_mergeable": true }, { "start": 14, "end": 18, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 19, "end": 30, "name": "size", "value": "10", "is_mergeable": true }, { "start": 19, "end": 30, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 31, "end": 33, "name": "size", "value": "10", "is_mergeable": true }, { "start": 31, "end": 33, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 34, "end": 42, "name": "size", "value": "10", "is_mergeable": true }, { "start": 34, "end": 42, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 43, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 43, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 58, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 58, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 59, "end": 61, "name": "size", "value": "10", "is_mergeable": true }, { "start": 59, "end": 61, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 62, "end": 65, "name": "size", "value": "10", "is_mergeable": true }, { "start": 62, "end": 65, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 66, "end": 70, "name": "size", "value": "10", "is_mergeable": true }, { "start": 66, "end": 70, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 71, "end": 72, "name": "size", "value": "10", "is_mergeable": true }, { "start": 71, "end": 72, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 71, "end": 72, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 73, "end": 75, "name": "size", "value": "10", "is_mergeable": true }, { "start": 73, "end": 75, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 76, "name": "bounding box", "value": "{\"x_top_left\": 0.3104575163398693, \"y_top_left\": 0.6426767676767676, \"width\": 0.5702614379084967, \"height\": 0.0, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40446", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text ) m to have a good probability of success. This dependence in the size t of\n
", "default_label": "not_paragraph" }, "207": { "id": 207, "task_path": "images/000042_000190_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40458.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 88, "y_top_left": 517, "width": 301, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40458, "_line": "the database is not desirable and, as we will see, not necessary.\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40458, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 66, "name": "indentation", "value": "88", "is_mergeable": true }, { "start": 0, "end": 66, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 12, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 12, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 13, "end": 15, "name": "size", "value": "10", "is_mergeable": true }, { "start": 13, "end": 15, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 16, "end": 19, "name": "size", "value": "10", "is_mergeable": true }, { "start": 16, "end": 19, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 20, "end": 29, "name": "size", "value": "10", "is_mergeable": true }, { "start": 20, "end": 29, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 30, "end": 34, "name": "size", "value": "10", "is_mergeable": true }, { "start": 30, "end": 34, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 35, "end": 37, "name": "size", "value": "10", "is_mergeable": true }, { "start": 35, "end": 37, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 38, "end": 40, "name": "size", "value": "10", "is_mergeable": true }, { "start": 38, "end": 40, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 41, "end": 45, "name": "size", "value": "10", "is_mergeable": true }, { "start": 41, "end": 45, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 46, "end": 50, "name": "size", "value": "10", "is_mergeable": true }, { "start": 46, "end": 50, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 51, "end": 54, "name": "size", "value": "10", "is_mergeable": true }, { "start": 51, "end": 54, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 55, "end": 65, "name": "size", "value": "10", "is_mergeable": true }, { "start": 55, "end": 65, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 66, "name": "bounding box", "value": "{\"x_top_left\": 0.1437908496732026, \"y_top_left\": 0.6527777777777778, \"width\": 0.4918300653594771, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40458", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text the database is not desirable and, as we will see, not necessary.\n
", "default_label": "not_paragraph" }, "208": { "id": 208, "task_path": "images/000042_000191_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40476.jpg", "labeled": [ "paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 77, "y_top_left": 530, "width": 462, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40476, "_line": "– recovering the document values requires to solve a linear system of size m ×m, which can be\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": 5, "level_2": 1, "can_be_multiline": false, "line_type": "list_item" }, "page_id": 3, "line_id": 40476, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 94, "name": "indentation", "value": "77", "is_mergeable": true }, { "start": 0, "end": 94, "name": "spacing", "value": "7", "is_mergeable": true }, { "start": 0, "end": 1, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 1, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 2, "end": 12, "name": "size", "value": "10", "is_mergeable": true }, { "start": 2, "end": 12, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 13, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 25, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 25, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 26, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 26, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 41, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 41, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 42, "end": 44, "name": "size", "value": "10", "is_mergeable": true }, { "start": 42, "end": 44, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 45, "end": 50, "name": "size", "value": "10", "is_mergeable": true }, { "start": 45, "end": 50, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 51, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 51, "end": 52, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 53, "end": 59, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 59, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 60, "end": 66, "name": "size", "value": "10", "is_mergeable": true }, { "start": 60, "end": 66, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 67, "end": 69, "name": "size", "value": "10", "is_mergeable": true }, { "start": 67, "end": 69, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 70, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 70, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 76, "name": "size", "value": "10", "is_mergeable": true }, { "start": 75, "end": 76, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 75, "end": 76, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 77, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 77, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 86, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 86, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 87, "end": 90, "name": "size", "value": "10", "is_mergeable": true }, { "start": 87, "end": 90, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 91, "end": 93, "name": "size", "value": "10", "is_mergeable": true }, { "start": 91, "end": 93, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 94, "name": "bounding box", "value": "{\"x_top_left\": 0.12581699346405228, \"y_top_left\": 0.6691919191919192, \"width\": 0.7549019607843137, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40476", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text – recovering the document values requires to solve a linear system of size m ×m, which can be\n
", "default_label": "not_paragraph" }, "209": { "id": 209, "task_path": "images/000042_000192_img_bbox_txt_a07cd9230110538d6746589cbdc45042_40490.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 3, "bbox": { "x_top_left": 88, "y_top_left": 544, "width": 451, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 40490, "_line": "quite expensive compared to the rest of the document extraction process. Other algorithms have\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40490, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 95, "name": "indentation", "value": "88", "is_mergeable": true }, { "start": 0, "end": 95, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 5, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 5, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 6, "end": 15, "name": "size", "value": "10", "is_mergeable": true }, { "start": 6, "end": 15, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 16, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 16, "end": 24, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 25, "end": 27, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 27, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 28, "end": 31, "name": "size", "value": "10", "is_mergeable": true }, { "start": 28, "end": 31, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 32, "end": 36, "name": "size", "value": "10", "is_mergeable": true }, { "start": 32, "end": 36, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 37, "end": 39, "name": "size", "value": "10", "is_mergeable": true }, { "start": 37, "end": 39, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 40, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 40, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 52, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 53, "end": 63, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 63, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 64, "end": 72, "name": "size", "value": "10", "is_mergeable": true }, { "start": 64, "end": 72, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 73, "end": 78, "name": "size", "value": "10", "is_mergeable": true }, { "start": 73, "end": 78, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 79, "end": 89, "name": "size", "value": "10", "is_mergeable": true }, { "start": 79, "end": 89, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 90, "end": 94, "name": "size", "value": "10", "is_mergeable": true }, { "start": 90, "end": 94, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 95, "name": "bounding box", "value": "{\"x_top_left\": 0.1437908496732026, \"y_top_left\": 0.6868686868686869, \"width\": 0.7369281045751634, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40490", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text quite expensive compared to the rest of the document extraction process. Other algorithms have\n
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text a linear cost in the buffer size.\n
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text 3 Two New PSS Constructions\n
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text Building on the original Ostrovsky-Skeith scheme, we propose two new communication optimal\n
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text constructions. The key idea is to consider that the job of the server is simply to compute a sparse\n
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Thanks to the homomorphic\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 3, "line_id": 40548, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 101, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 101, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 20, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 17, "end": 20, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 21, "end": 22, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 22, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 23, "end": 24, "name": "size", "value": "7", "is_mergeable": true }, { "start": 23, "end": 24, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 23, "end": 24, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 25, "end": 26, "name": "size", "value": "7", "is_mergeable": true }, { "start": 25, "end": 26, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 25, "end": 26, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 27, "end": 28, "name": "size", "value": "7", "is_mergeable": true }, { "start": 27, "end": 28, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 27, "end": 28, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 29, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 29, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 37, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 37, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 38, "end": 46, "name": "size", "value": "10", "is_mergeable": true }, { "start": 38, "end": 46, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 47, "end": 49, "name": "size", "value": "10", "is_mergeable": true }, { "start": 47, "end": 49, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 50, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 50, "end": 52, "name": "style", "value": "JVOVRL+CMTI10", "is_mergeable": true }, { "start": 50, "end": 52, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 53, "end": 56, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 56, "name": "style", "value": "JVOVRL+CMTI10", "is_mergeable": true }, { "start": 53, "end": 56, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 57, "end": 66, "name": "size", "value": "10", "is_mergeable": true }, { "start": 57, "end": 66, "name": "style", "value": "JVOVRL+CMTI10", "is_mergeable": true }, { "start": 57, "end": 66, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 67, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 67, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 81, "name": "size", "value": "10", "is_mergeable": true }, { "start": 75, "end": 81, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 82, "end": 84, "name": "size", "value": "10", "is_mergeable": true }, { "start": 82, "end": 84, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 85, "end": 88, "name": "size", "value": "10", "is_mergeable": true }, { "start": 85, "end": 88, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 89, "end": 100, "name": "size", "value": "10", "is_mergeable": true }, { "start": 89, "end": 100, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 101, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.8055555555555556, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_40548", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 3
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text encrypted vector E(c f ) i i and then compress it in the encrypted domain. Thanks to the homomorphic\n
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text property of Paillier’s cryptosystem it is possible to compute the syndrome of this vector with respect\n
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text to the parity check matrix H of an error correcting code. Using two optimal code constructions\n
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text (Reed-Solomon codes [15] and irregular LDPC codes [6,10]) we obtain our two new PSS schemes. Of\n
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text course, the idea of using a linear function to compress a sparse vector is not new, but homomorphic\n
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text encryption allows to do this in the encrypted domain too. This is also what previous PSS schemes\n
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text were doing, without explicitly stating it, and using sub-optimal linear compression.\n
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text Communication Optimal Private Stream Search 5\n
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text low weight bits\n
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Embedding of two Reed-Solomon codes and of fi inside an element of ZN . |Ω| and t are\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "raw_text" }, "page_id": 4, "line_id": 50026, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 94, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 94, "name": "spacing", "value": "66", "is_mergeable": true }, { "start": 0, "end": 4, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 4, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 5, "end": 7, "name": "size", "value": "10", "is_mergeable": true }, { "start": 5, "end": 7, "name": "style", "value": "QSTXPN+CMBX10", "is_mergeable": true }, { "start": 5, "end": 7, "name": "bold", "value": "True", "is_mergeable": true }, { "start": 8, "end": 17, "name": "size", "value": "10", "is_mergeable": true }, { "start": 8, "end": 17, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 18, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 18, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 21, "end": 24, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 25, "end": 37, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 37, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 38, "end": 43, "name": "size", "value": "10", "is_mergeable": true }, { "start": 38, "end": 43, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 44, "end": 47, "name": "size", "value": "10", "is_mergeable": true }, { "start": 44, "end": 47, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 48, "end": 50, "name": "size", "value": "10", "is_mergeable": true }, { "start": 48, "end": 50, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 51, "end": 53, "name": "size", "value": "7", "is_mergeable": true }, { "start": 51, "end": 53, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 51, "end": 53, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 54, "end": 60, "name": "size", "value": "10", "is_mergeable": true }, { "start": 54, "end": 60, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 61, "end": 63, "name": "size", "value": "10", "is_mergeable": true }, { "start": 61, "end": 63, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 64, "end": 71, "name": "size", "value": "10", "is_mergeable": true }, { "start": 64, "end": 71, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 72, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 72, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 77, "name": "size", "value": "7", "is_mergeable": true }, { "start": 75, "end": 77, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 75, "end": 77, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 78, "end": 79, "name": "size", "value": "10", "is_mergeable": true }, { "start": 78, "end": 79, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 80, "end": 83, "name": "size", "value": "10", "is_mergeable": true }, { "start": 80, "end": 83, "name": "style", "value": "AXUDEI+CMSY10", "is_mergeable": true }, { "start": 80, "end": 83, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 84, "end": 87, "name": "size", "value": "10", "is_mergeable": true }, { "start": 84, "end": 87, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 88, "end": 89, "name": "size", "value": "10", "is_mergeable": true }, { "start": 88, "end": 89, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 88, "end": 89, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 90, "end": 93, "name": "size", "value": "10", "is_mergeable": true }, { "start": 90, "end": 93, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 94, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.19823232323232323, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50026", "original_document": "1709714755_101.pdf", "color": "#f00" }, "additional_info": "page_id 4
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text Fig. 1. Embedding of two Reed-Solomon codes and of fi inside an element of ZN . |Ω| and t are\n
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text the dictionary and the database sizes: the zero-paddings allow to avoid overflows when computing\n
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text linear combinations of f ′\n
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text . j,i\n
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text 3.1 A Zero-Error Construction Using Reed-Solomon Codes\n
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text Apart from the communication overhead, one drawback of the existing PSS constructions is that\n
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text they have a non-zero probability of failure. This is true even for very large expansion rates. In\n
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text particular, when the number m of matching documents is small, the failure probability of all\n
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text previous schemes becomes higher for a given expansion rate. We thus propose a deterministic\n
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text algorithm that will guarantee that the document extraction will never fail if the number of matching\n
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text documents is known. This algorithm uses Reed-Solomon codes and exploits their MDS (maximum\n
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text distance separable) property in the following way:\n
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text – Reed-Solomon codes can correct up to m errors using 2m syndromes,\n
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text – they can also correct m erasures (errors at a known position) using only m syndromes.\n
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text Description of the Construction. A direct application of this would consist in replacing the\n
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text matrix H in the PSS algorithm by the parity check matrix of a Reed-Solomon code over ZN . Then,\n
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text recovering the value of any m documents would be equivalent to correcting m errors with the code\n
", "default_label": "not_paragraph" }, "240": { "id": 240, "task_path": "images/000042_000223_img_bbox_txt_a07cd9230110538d6746589cbdc45042_50245.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 4, "bbox": { "x_top_left": 72, "y_top_left": 439, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 50245, "_line": "and would only require ℓ = 2m buffer positions. However, it is possible to do better than this.\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 4, "line_id": 50245, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 95, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 95, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 14, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 14, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 15, "end": 22, "name": "size", "value": "10", "is_mergeable": true }, { "start": 15, "end": 22, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 23, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 23, "end": 24, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 23, "end": 24, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 25, "end": 26, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 26, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 27, "end": 29, "name": "size", "value": "10", "is_mergeable": true }, { "start": 27, "end": 29, "name": "style", "value": "WLPKII+CMMI10", "is_mergeable": true }, { "start": 27, "end": 29, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 30, "end": 35, "name": "size", "value": "10", "is_mergeable": true }, { "start": 30, "end": 35, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 36, "end": 46, "name": "size", "value": "10", "is_mergeable": true }, { "start": 36, "end": 46, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 47, "end": 55, "name": "size", "value": "10", "is_mergeable": true }, { "start": 47, "end": 55, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 56, "end": 58, "name": "size", "value": "10", "is_mergeable": true }, { "start": 56, "end": 58, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 59, "end": 61, "name": "size", "value": "10", "is_mergeable": true }, { "start": 59, "end": 61, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 62, "end": 70, "name": "size", "value": "10", "is_mergeable": true }, { "start": 62, "end": 70, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 71, "end": 73, "name": "size", "value": "10", "is_mergeable": true }, { "start": 71, "end": 73, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 74, "end": 76, "name": "size", "value": "10", "is_mergeable": true }, { "start": 74, "end": 76, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 77, "end": 83, "name": "size", "value": "10", "is_mergeable": true }, { "start": 77, "end": 83, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 84, "end": 88, "name": "size", "value": "10", "is_mergeable": true }, { "start": 84, "end": 88, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 89, "end": 94, "name": "size", "value": "10", "is_mergeable": true }, { "start": 89, "end": 94, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 95, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.5542929292929293, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50245", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 4
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text and would only require ℓ = 2m buffer positions. However, it is possible to do better than this.\n
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text Indeed, this straightforward application allows documents of logN bits, but also allows a database\n
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text of up to N elements. In practice the database is much smaller than N (which for security reasons\n
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text will be at least 1024 2 ), and using a Reed-Solomon code on ZN is a waste. The server can encode the\n
", "default_label": "not_paragraph" }, "244": { "id": 244, "task_path": "images/000042_000227_img_bbox_txt_a07cd9230110538d6746589cbdc45042_50314.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 4, "bbox": { "x_top_left": 71, "y_top_left": 494, "width": 467, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 50314, "_line": "values of the ci (and their positions) as errors in a smaller Reed-Solomon code, and then encode\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 4, "line_id": 50314, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 97, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 97, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 6, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 6, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "size", "value": "10", "is_mergeable": true }, { "start": 7, "end": 9, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 10, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 10, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 16, "name": "size", "value": "7", "is_mergeable": true }, { "start": 14, "end": 16, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 14, "end": 16, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 17, "end": 21, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 21, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 22, "end": 27, "name": "size", "value": "10", "is_mergeable": true }, { "start": 22, "end": 27, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 28, "end": 38, "name": "size", "value": "10", "is_mergeable": true }, { "start": 28, "end": 38, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 39, "end": 41, "name": "size", "value": "10", "is_mergeable": true }, { "start": 39, "end": 41, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 42, "end": 48, "name": "size", "value": "10", "is_mergeable": true }, { "start": 42, "end": 48, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 49, "end": 51, "name": "size", "value": "10", "is_mergeable": true }, { "start": 49, "end": 51, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 52, "end": 53, "name": "size", "value": "10", "is_mergeable": true }, { "start": 52, "end": 53, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 54, "end": 61, "name": "size", "value": "10", "is_mergeable": true }, { "start": 54, "end": 61, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 62, "end": 74, "name": "size", "value": "10", "is_mergeable": true }, { "start": 62, "end": 74, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 75, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 84, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 84, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 85, "end": 89, "name": "size", "value": "10", "is_mergeable": true }, { "start": 85, "end": 89, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 90, "end": 96, "name": "size", "value": "10", "is_mergeable": true }, { "start": 90, "end": 96, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 97, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.6237373737373737, \"width\": 0.7630718954248366, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50314", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 4
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text values of the ci (and their positions) as errors in a smaller Reed-Solomon code, and then encode\n
", "default_label": "not_paragraph" }, "245": { "id": 245, "task_path": "images/000042_000228_img_bbox_txt_a07cd9230110538d6746589cbdc45042_50331.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 4, "bbox": { "x_top_left": 71, "y_top_left": 507, "width": 468, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 50331, "_line": "the documents as erasures, which can be efficiently recovered once the ci are known. Here is how\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 4, "line_id": 50331, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 95, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 95, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 16, "name": "size", "value": "10", "is_mergeable": true }, { "start": 14, "end": 16, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 17, "end": 26, "name": "size", "value": "10", "is_mergeable": true }, { "start": 17, "end": 26, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 27, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 27, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 37, "end": 39, "name": "size", "value": "10", "is_mergeable": true }, { "start": 37, "end": 39, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 40, "end": 49, "name": "size", "value": "10", "is_mergeable": true }, { "start": 40, "end": 49, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 50, "end": 59, "name": "size", "value": "10", "is_mergeable": true }, { "start": 50, "end": 59, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 60, "end": 64, "name": "size", "value": "10", "is_mergeable": true }, { "start": 60, "end": 64, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 65, "end": 68, "name": "size", "value": "10", "is_mergeable": true }, { "start": 65, "end": 68, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 69, "end": 71, "name": "size", "value": "7", "is_mergeable": true }, { "start": 69, "end": 71, "name": "style", "value": "MTKKCR+CMMI8", "is_mergeable": true }, { "start": 69, "end": 71, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 72, "end": 75, "name": "size", "value": "10", "is_mergeable": true }, { "start": 72, "end": 75, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 76, "end": 82, "name": "size", "value": "10", "is_mergeable": true }, { "start": 76, "end": 82, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 83, "end": 87, "name": "size", "value": "10", "is_mergeable": true }, { "start": 83, "end": 87, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 88, "end": 90, "name": "size", "value": "10", "is_mergeable": true }, { "start": 88, "end": 90, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 91, "end": 94, "name": "size", "value": "10", "is_mergeable": true }, { "start": 91, "end": 94, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 95, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.6401515151515151, \"width\": 0.7647058823529411, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50331", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 4
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text the documents as erasures, which can be efficiently recovered once the ci are known. Here is how\n
", "default_label": "not_paragraph" }, "246": { "id": 246, "task_path": "images/000042_000229_img_bbox_txt_a07cd9230110538d6746589cbdc45042_50334.jpg", "labeled": [ "not_paragraph" ], "data": { "location": { "page_number": 4, "bbox": { "x_top_left": 71, "y_top_left": 521, "width": 98, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 50334, "_line": "the algorithm works.\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": true, "line_type": "raw_text" }, "page_id": 4, "line_id": 50334, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 21, "name": "indentation", "value": "71", "is_mergeable": true }, { "start": 0, "end": 21, "name": "spacing", "value": "8", "is_mergeable": true }, { "start": 0, "end": 3, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 3, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 4, "end": 13, "name": "size", "value": "10", "is_mergeable": true }, { "start": 4, "end": 13, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 14, "end": 20, "name": "size", "value": "10", "is_mergeable": true }, { "start": 14, "end": 20, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 21, "name": "bounding box", "value": "{\"x_top_left\": 0.11601307189542484, \"y_top_left\": 0.6578282828282829, \"width\": 0.16013071895424835, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50334", "original_document": "1709714755_101.pdf", "color": "#ffa500" }, "additional_info": "page_id 4
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text the algorithm works.\n
", "default_label": "not_paragraph" }, "247": { "id": 247, "task_path": "images/000042_000230_img_bbox_txt_a07cd9230110538d6746589cbdc45042_50350.jpg", "labeled": [ "paragraph" ], "data": { "location": { "page_number": 4, "bbox": { "x_top_left": 72, "y_top_left": 551, "width": 468, "height": 5 }, "name": "", "rotated_angle": 0.0 }, "order": 50350, "_line": "Query Construction. This step is the same as for the other algorithms (described in Section 2.2).\n", "_metadata": { "tag_hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "unknown" }, "hierarchy_level": { "level_1": null, "level_2": null, "can_be_multiline": false, "line_type": "raw_text" }, "page_id": 4, "line_id": 50350, "_LineMetadata__other_fields": {} }, "_annotations": [ { "start": 0, "end": 98, "name": "indentation", "value": "72", "is_mergeable": true }, { "start": 0, "end": 98, "name": "spacing", "value": "25", "is_mergeable": true }, { "start": 0, "end": 5, "name": "size", "value": "10", "is_mergeable": true }, { "start": 0, "end": 5, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 6, "end": 19, "name": "size", "value": "10", "is_mergeable": true }, { "start": 6, "end": 19, "name": "style", "value": "JVOVRL+CMTI10", "is_mergeable": true }, { "start": 6, "end": 19, "name": "italic", "value": "True", "is_mergeable": true }, { "start": 20, "end": 24, "name": "size", "value": "10", "is_mergeable": true }, { "start": 20, "end": 24, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 25, "end": 29, "name": "size", "value": "10", "is_mergeable": true }, { "start": 25, "end": 29, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 30, "end": 32, "name": "size", "value": "10", "is_mergeable": true }, { "start": 30, "end": 32, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "size", "value": "10", "is_mergeable": true }, { "start": 33, "end": 36, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 37, "end": 41, "name": "size", "value": "10", "is_mergeable": true }, { "start": 37, "end": 41, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 42, "end": 44, "name": "size", "value": "10", "is_mergeable": true }, { "start": 42, "end": 44, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 45, "end": 48, "name": "size", "value": "10", "is_mergeable": true }, { "start": 45, "end": 48, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 49, "end": 52, "name": "size", "value": "10", "is_mergeable": true }, { "start": 49, "end": 52, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 53, "end": 58, "name": "size", "value": "10", "is_mergeable": true }, { "start": 53, "end": 58, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 59, "end": 69, "name": "size", "value": "10", "is_mergeable": true }, { "start": 59, "end": 69, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 70, "end": 80, "name": "size", "value": "10", "is_mergeable": true }, { "start": 70, "end": 80, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 81, "end": 83, "name": "size", "value": "10", "is_mergeable": true }, { "start": 81, "end": 83, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 84, "end": 91, "name": "size", "value": "10", "is_mergeable": true }, { "start": 84, "end": 91, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 92, "end": 97, "name": "size", "value": "10", "is_mergeable": true }, { "start": 92, "end": 97, "name": "style", "value": "JCQZQQ+CMR10", "is_mergeable": true }, { "start": 0, "end": 98, "name": "bounding box", "value": "{\"x_top_left\": 0.11764705882352941, \"y_top_left\": 0.6957070707070707, \"width\": 0.7647058823529411, \"height\": 0.006313131313131313, \"page_width\": 612, \"page_height\": 792}", "is_mergeable": false } ], "_uid": "txt_a07cd9230110538d6746589cbdc45042_50350", "original_document": "1709714755_101.pdf", "color": "#f00" }, "additional_info": "page_id 4
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text Query Construction. This step is the same as for the other algorithms (described in Section 2.2).\n
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text Along with the query Q, the user sends an expected number of results m.\n
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line_id 50379
text Query Execution. As in the previous constructions, for each document f , i the server computes the\n
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