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CRT-Decomposed $Σ$-Protocols for CSIDH

Dey, I. et al.
arXiv (All) · Papers
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cryptography-and-securityinformation-theoryquantum-physics
We construct a zero-knowledge proof of knowledge for the CSIDH group action that exploits the Chinese Remainder Theorem (CRT) structure of the ideal class group, available whenever the group structure is known exactly, as for CSIDH-512. We prove perfect completeness, perfect special honest-verifier
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