F5C: A variant of Faugère’s F5 algorithm with reduced Gröbner bases-Reference-Cited by-同舟云学术

F5C: A variant of Faugère’s F5 algorithm with reduced Gröbner bases

Published:2010-12 Issue:12 Volume:45 Page:1442-1458
ISSN:0747-7171
Container-title:Journal of Symbolic Computation
language:en
Short-container-title:Journal of Symbolic Computation

Author:

Eder Christian,Perry John

Publisher

Elsevier BV

Subject

Computational Mathematics,Algebra and Number Theory

Reference17 articles.

1. Albrecht, M., Perry, J., 2008. Sage implementation of Faugère’s F5 algorithm. Sage library. http://bitbucket.org/malb/algebraic_attacks/src/tip/f5.py.

2. Gröbner Bases: A Computational Approach to Commutative Algebra;Becker,1993

3. Buchberger, B., 1965. Ein Algorithmus zum Auffinden der Basiselemente des Restklassenringes nach einem nulldimensionalem Polynomideal (an algorithm for finding the basis elements in the residue class ring modulo a zero dimensional polynomial ideal). Ph.D. Thesis, Mathematical Institute, University of Innsbruck, Austria (English translation published in the Journal of Symbolic Computation (2006) 475–511).

4. Efficient algorithms for module operation;Caboara,1998

5. Eder, C., Perry, J., 2008. Singular implementation of Faugère’s F5 algorithm. Singular library. http://www.math.usm.edu/perry/Research/f5_library.lib.

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