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Hash-to-curve mappings, and groundwork for their analysis
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Hash-to-curve mappings, and groundwork for their analysis
#19
daira
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Commits on Aug 11, 2026
feat(Hashing): character-sum reduction removing the sign convention
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feat(Hashing): Weil bound as an explicit hypothesis for well-distributedness
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docs(Hashing): cite sources for the Weil bound
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feat(Hashing): two-term uniformity from the Weil-bound hypothesis
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feat(Hashing): the signed lift, and oddness of hash-to-curve mappings
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feat(Hashing): sqrt_ratio, the square-root subroutine of simplified SWU
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feat(Hashing): map_to_curve_simple_swu and its on-curve proof
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feat(Isogenies): degree-3 isogenies from Vélu's formulae
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feat(Curves): the iso-Pasta curves and their isogenies, twice over
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feat(Curves): the iso-Pasta curve orders
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feat(Curves): Pallas has no rational 2-torsion
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feat(Isogenies): the isogenies are bijective on rational points
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feat(Isogenies): the identity maps to the identity
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feat(Isogenies): certificates for the 3-isogeny homomorphism property
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feat(Isogenies): generated support lemmas for the chord wrapper
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feat(Isogenies): generated support lemmas for the tangent wrapper
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feat(Isogenies): Homomorphism module, coordinate-level compatibility
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feat(Isogenies): the isogeny is a group homomorphism on rational points
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feat(Curves): the deployed isogenies are homomorphisms on rational points
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feat(Fields): a valid Tonelli-Shanks rootOfUnity is a nonsquare
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feat(Hashing): the deployed simplified-SWU parameters for the Pasta curves
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test(Hashing): reference fixtures for the SSWU instances
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feat(Hashing): the deployed mapping is odd away from zero
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feat(Hashing): mapHashOutputsToCurve, the deployed construction after hash_to_field
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feat(Hashing): certify RFC 9380 criteria 2 and 3 in SSWUParams
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feat(Hashing): compose the zero-repair transport at the deployed mappings
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docs(Hashing): sharpen the analysis-boundary claims
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docs(Hashing): copy-edit the module docs
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ci: check that the Vélu certificates reproduce
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