International Association for Cryptologic Research

International Association
for Cryptologic Research

IACR News item: 20 June 2024

Damien VIDAL, Sorina IONICA, Claire Delaplace
ePrint Report ePrint Report
The Crossbred algorithm is currently the state-of-the-art method for solving overdetermined multivariate polynomial systems over $\mathbb{F}_2$. Since its publication in 2015, 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.

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