A Variant of the F4 Algorithm - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2011

A Variant of the F4 Algorithm

Résumé

Algebraic cryptanalysis usually requires to find solutions of several similar polynomial systems. A standard tool to solve this problem consists of computing the Gröbner bases of the corresponding ideals, and Faugère's F4 and F5 are two well-known algorithms for this task. In this paper, we adapt the "Gröbner trace" method of Traverso to the context of F4. The resulting variant is a heuristic algorithm, well suited to algebraic attacks of cryptosystems since it is designed to compute with high probability Gröbner bases of a set of polynomial systems having the same shape. It is faster than F4 as it avoids all reductions to zero, but preserves its simplicity and its efficiency, thus competing with F5.

Dates et versions

hal-00665022 , version 1 (01-02-2012)

Identifiants

Citer

Antoine Joux, Vanessa Vitse. A Variant of the F4 Algorithm. CT-RSA 2011, Feb 2011, San Francisco, United States. pp.356-375, ⟨10.1007/978-3-642-19074-2_23⟩. ⟨hal-00665022⟩

Collections

CNRS UVSQ
37 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More