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arXiv · 0906.2967

F5C: a variant of Faugere's F5 algorithm with reduced Groebner bases

Christian Eder·John Perry
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Abstract

Faugere's F5 algorithm computes a Groebner basis incrementally, by computing a sequence of (non-reduced) Groebner bases. The authors describe a variant of F5, called F5C, that replaces each intermediate Groebner basis with its reduced Groebner basis. As a result, F5C considers fewer polynomials and performs substantially fewer polynomial reductions, so that it terminates more quickly. We also provide a generalization of Faugere's characterization theorem for Groebner bases.

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Christian Eder, John Perry. 2011-05-18. F5C: a variant of Faugere's F5 algorithm with reduced Groebner bases. https://doi.org/10.1016/j.jsc.2010.06.019

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