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arXiv · 1401.6304

Graver Bases and Universal Gröbner Bases for Linear Codes

Natalia Dück·Karl-Heinz Zimmermann
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Abstract

Two correspondences have been provided that associate any linear code over a finite field with a binomial ideal. In this paper, algorithms for computing their Graver bases and universal Gröbner bases are given. To this end, a connection between these binomial ideals and toric ideals will be established.

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Natalia Dück, Karl-Heinz Zimmermann. 2014-05-07. Graver Bases and Universal Gröbner Bases for Linear Codes. https://arxiv.org/abs/1401.6304

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