Paper 2019/610 Original: eprint.iacr.org/2019/610 ↗

Improved Cryptanalysis of the AJPS Mersenne Based Cryptosystem

Jean-Sebastien Coron
Agnese Gini
Abstract

At Crypto 2018, Aggarwal, Joux, Prakash and Santha (AJPS) described a new public-key encryption scheme based on Mersenne numbers. Shortly after the publication of the cryptosystem, Beunardeau et al. described an attack with complexity O(2^(2h)). In this paper, we describe an improved attack with complexity O(2^(1.75h)).

Metadata
Available format(s)
PDF
Category
Public-key cryptography
Publication info
Preprint.
History
2021-06-25: last updated
2019-06-02: published
Short URL
https://ia.cr/2019/610
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2019/610,
      author = {Jean-Sebastien Coron and Agnese Gini},
      title = {Improved Cryptanalysis of the AJPS Mersenne Based Cryptosystem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2019/610},
      year = {2019},
      url = {https://eprint.iacr.org/2019/610}
}
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