Hashing into quadratic residues modulo a safe prime composite

Sietse Ringers

Paper 2023/1313

Hashing into quadratic residues modulo a safe prime composite

Sietse Ringers

Abstract

For $n = pq$ a product of two safe primes, we construct and prove security of a cryptographic hash function $H$ mapping into the square residues $QR_n \subset (\mathbb{Z}/n\mathbb{Z})^*$, by squaring the output of an ordinary cryptographic hash function $H$ of sufficiently long output.

Metadata

Available format(s): PDF
Category: Cryptographic protocols
Publication info: Preprint.
Keywords: Hash SHA Idemix
Contact author(s): mail @ sietseringers net
History: 2023-09-04: approved; 2023-09-03: received; See all versions
Short URL: https://ia.cr/2023/1313
License: CC BY

BibTeX

@misc{cryptoeprint:2023/1313,
      author = {Sietse Ringers},
      title = {Hashing into quadratic residues modulo a safe prime composite},
      howpublished = {Cryptology ePrint Archive, Paper 2023/1313},
      year = {2023},
      note = {\url{https://eprint.iacr.org/2023/1313}},
      url = {https://eprint.iacr.org/2023/1313}
}