On the relation between the MXL family of algorithms and Gröbner basis algorithms-Reference-Cited by-同舟云学术

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On the relation between the MXL family of algorithms and Gröbner basis algorithms

Published:2012-08 Issue:8 Volume:47 Page:926-941
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Albrecht Martin R.,Cid Carlos,Faugère Jean-Charles,Perret Ludovic

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference37 articles.

1. Algebraic techniques in differential cryptanalysis;Albrecht,2009

2. Algebraic precomputations in differential cryptanalysis;Albrecht,2010

3. Comparison between XL and Gröbner basis algorithms;Ars,2004

4. Gröbner Bases — A Computational Approach to Commutative Algebra;Becker,1991

5. The MAGMA algebra system I: the user language;Bosma;Journal of Symbolic Computation,1997

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1. Polynomial XL: A Variant of the XL Algorithm Using Macaulay Matrices over Polynomial Rings;Lecture Notes in Computer Science;2024

2. On the computation of rational solutions of underdetermined systems over a finite field;Journal of Complexity;2023-04

3. On the last fall degree of zero-dimensional Weil descent systems;Journal of Symbolic Computation;2018-07

4. Codes, Cryptology and Curves with Computer Algebra;2017-10-26

5. A survey on signature-based algorithms for computing Gröbner bases;Journal of Symbolic Computation;2017-05

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