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A general framework for applying FGLM techniques to linear codes

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2006) 3857 LNCS 76-86
DOI: 10.1007/11617983_7
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Abstract

We show herein that a pattern based on FGLM techniques can be used for computing Gröbner bases, or related structures, associated to linear codes. This Gröbner bases setting turns out to be strongly related to the combinatorics of the codes. © Springer-Verlag Berlin Heidelberg 2006.

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Borges-Quintana, M., Borges-Trenard, M. A., & Martínez-Moro, E. (2006). A general framework for applying FGLM techniques to linear codes. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 3857 LNCS, pp. 76–86). https://doi.org/10.1007/11617983_7

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