Work

An analysis of the Crossbred Algorithm for the MQ Problem

Year: 2024

Type: article

Abstract: The Crossbred algorithm is currently the state-of-the-art method for solving overdetermined multivariate polynomial systems over 𝔽 2 . Since its publication in 2017, several record breaking implementations have been proposed and demonstrate the power of this hybrid approach. Despite these practical results, the complexity of this algorithm and the choice of optimal parameters for it are difficult open questions. In this paper, we prove a bivariate generating series for potentially admissible parameters of the Crossbred algorithm.

Source: IACR Communications in Cryptology

DOI: 10.62056/ak86cy7qiu

Authors: Damien Vidal, Claire Delaplace, Sorina Ionica

Institution: Université de Picardie Jules Verne

Language: English

Topic: Polynomial and algebraic computation

Subfield: Computational Theory and Mathematics

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Funder: Agence Nationale de la Recherche

Award: Cryptanalyse de primitives cryptographiques classiques