Jacobi Signatures, Revisited

Yansong Feng

Paper 2026/1726

Jacobi Signatures, Revisited

Yansong Feng, Academy of Mathematics and Systems Science, Chinese Academy of Sciences

Abstract

We remove the Boneh--Lipton conjecture from the proof of Corrigan-Gibbs and Wu (CRYPTO~2024) that Jacobi signatures modulo $N=p^2q$ are one-way. This relates the one-wayness of the pseudorandom generator proposed by Damg{\aa}rd in 1988 to a standard number-theoretic problem alone.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Preprint.
Keywords: Jacobi signatures Jacobi symbols One-way functions Factoring Pseudorandom generators
Contact author(s): fengyansong @ amss ac cn
History: 2026-08-21: approved; 2026-08-18: received; See all versions
Short URL: https://ia.cr/2026/1726
License: CC BY

BibTeX

@misc{cryptoeprint:2026/1726,
      author = {Yansong Feng},
      title = {Jacobi Signatures, Revisited},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/1726},
      year = {2026},
      url = {https://eprint.iacr.org/2026/1726}
}