Paper 2008/451 Original: eprint.iacr.org/2008/451 ↗
Algebraic Cryptanalysis of MQQ Public Key Cryptosystem by MutantXL
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
- Preprint.
- History
- 2008-10-27: last updated
- 2008-10-27: published
- Short URL
- https://ia.cr/2008/451
- License
- https://creativecommons.org/licenses/by/4.0/
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}
}