Algebraic Cryptanalysis of MQQ Public Key Cryptosystem by MutantXL

Mohamed Saied Emam Mohamed; Jintai Ding; Johannes Buchmann

Paper 2008/451

Algebraic Cryptanalysis of MQQ Public Key Cryptosystem by MutantXL

Mohamed Saied Emam Mohamed, Jintai Ding, and Johannes Buchmann

Abstract

In this paper, we present an efficient attack to the multivariate Quadratic Quasigroups (MQQ) cryptosystem. Our cryptanalysis breaks MQQ cryptosystems by solving systems of multivariate quadratic polynomial equations using a modified version of the MutantXL algorithm. We present experimental results comparing the behavior of our implementation of MutantXL to Magma's implementation of $F_4$ on MQQ systems ($\geq$ 135 bit). Based on our results we show that the MutantXL implementation solves with much less memory than Magma's implementation of $F_4$ algorithm.

Metadata

Available format(s): PDF
Category: Public-key cryptography
Publication info: Published elsewhere. Unknown where it was published
Keywords: Algebraic Cryptanalysis MutantXL F4 MQQ Block Cipher
Contact author(s): mohamed @ cdc informatik tu-darmstadt de
History: 2008-10-27: received
Short URL: https://ia.cr/2008/451
License: CC BY

BibTeX

@misc{cryptoeprint:2008/451,
      author = {Mohamed Saied Emam Mohamed and Jintai Ding and Johannes Buchmann},
      title = {Algebraic Cryptanalysis of {MQQ} Public Key Cryptosystem by {MutantXL}},
      howpublished = {Cryptology {ePrint} Archive, Paper 2008/451},
      year = {2008},
      url = {https://eprint.iacr.org/2008/451}
}