Author

I. Cherkaoui

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Preprint Aug 2026

CRT-Decomposed $\Sigma$-Protocols for CSIDH

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 zero-knowledge, and...

I. Dey, I. Cherkaoui · 0 citations

Preprint Aug 2026

Deterministic Johnson--Lindenstrauss Projections from Pisot $\beta$-Transformations for Zero-Knowledge Private Routing

It is proved that the induced squared-norm estimator is unbiased up to a term decaying geometrically with a sampling gap, and that its variance is a constant $V_0/m$ that is dimension-free in experiment and, under one stated concentration hypothesis, in theory.

I. Dey, I. Cherkaoui · 0 citations