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Tasks:
Text Generation
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language-modeling
Languages:
English
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License:
| (* ========================================================================= *) | |
| (* Elliptic curves of various forms and specific ones for cryptography. *) | |
| (* ========================================================================= *) | |
| needs "Library/pocklington.ml";; | |
| needs "Library/primitive.ml";; | |
| needs "Library/grouptheory.ml";; | |
| needs "Library/ringtheory.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* A few extras to support all the curve proofs. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/misc.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Short Weierstrass, Montgomery and Edwards curves (independently). *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/weierstrass.ml";; | |
| loadt "EC/montgomery.ml";; | |
| loadt "EC/edwards.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Projective, Jacobian and projective-without-y coordinates. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/projective.ml";; | |
| loadt "EC/jacobian.ml";; | |
| loadt "EC/xzprojective.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Some traditional formulas for evaluation in these coordinate systems. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/formulary_projective.ml";; | |
| loadt "EC/formulary_jacobian.ml";; | |
| loadt "EC/formulary_xzprojective.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Translations between curves: Edwards <-> Montgomery <-> Weierstrass. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/edmont.ml";; | |
| loadt "EC/montwe.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* Additional computational derived rules. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/excluderoots.ml";; | |
| loadt "EC/computegroup.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* The NIST curves over prime characteristic fields. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/nistp192.ml";; | |
| loadt "EC/nistp224.ml";; | |
| loadt "EC/nistp256.ml";; | |
| loadt "EC/nistp384.ml";; | |
| loadt "EC/nistp521.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* The (other) SECG curves over prime characteristic fields *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/secp192k1.ml";; | |
| loadt "EC/secp224k1.ml";; | |
| loadt "EC/secp256k1.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* The curve25519 family in Edwards, Montgomery and Weierstrass forms. *) | |
| (* The first three files are independent, the fourth giving the connections. *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/edwards25519.ml";; | |
| loadt "EC/curve25519.ml";; | |
| loadt "EC/wei25519.ml";; | |
| loadt "EC/family25519.ml";; | |
| (* ------------------------------------------------------------------------- *) | |
| (* The Goldilocks curve *) | |
| (* ------------------------------------------------------------------------- *) | |
| loadt "EC/edwards448.ml";; | |