Paper 2026/360 Original: eprint.iacr.org/2026/360 ↗

Improved preprocessing for the Crossbred algorithm and application to the MQ problem

Damien Vidal
Claire Delaplace
Sorina Ionica
Abstract

First, we correct certain omissions in the literature on the complexity analysis of Crossbred and give a full analysis of this algorithm. Secondly, we propose a criterion to reduce the number of polynomials generated in the preprocessing step for a set of admissible parameters $D$, $d$ and $k$, whenever this step of the algorithm produces more polynomials than necessary. We conclude by applying this criterion to the security of MQOM.

Metadata
Available format(s)
PDF
Category
Attacks and cryptanalysis
Publication info
Preprint.
History
2026-02-22: last updated
2026-02-22: published
Short URL
https://ia.cr/2026/360
License
https://creativecommons.org/licenses/by/4.0/

BibTeX

@misc{cryptoeprint:2026/360,
      author = {Damien Vidal and Claire Delaplace and Sorina Ionica},
      title = {Improved preprocessing for the Crossbred algorithm and application to the MQ problem},
      howpublished = {Cryptology {ePrint} Archive, Paper 2026/360},
      year = {2026},
      url = {https://eprint.iacr.org/2026/360}
}
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