On the last fall degree of zero-dimensional Weil descent systems

Author:

Huang Ming-Deh A.,Kosters Michiel,Yang Yun,Yeo Sze Ling

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference20 articles.

1. On the relation between the MXL family of algorithms and Gröbner basis algorithms;Albrecht;J. Symb. Comput.,2012

2. Cryptanalysis of HFE, multi-HFE and variants for odd and even characteristic;Bettale;Des. Codes Cryptogr.,2013

3. MutantXL: solving multivariate polynomial equations for cryptanalysis;Buchmann,2009

4. Efficient algorithms for solving overdefined systems of multivariate polynomial equations;Courtois,2000

5. An introduction to computational algebraic geometry and commutative algebra;Cox,2007

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2. Progress in Multivariate Cryptography: Systematic Review, Challenges, and Research Directions;ACM Computing Surveys;2023-03-03

3. On product decomposition;Information Processing Letters;2023-03

4. Solving degree, last fall degree, and related invariants;Journal of Symbolic Computation;2023-01

5. Stronger bounds on the cost of computing Gröbner bases for HFE systems;Journal of Symbolic Computation;2022-03

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