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arXiv · 1411.7493

On zero neighbours and trial sets of linear codes

Mijail Borges-Quintana·Miguel Angel Borges-Trenard·Edgar Martinez-Moro
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Abstract

In this work we study the set of leader codewords of a non-binary linear code. This set has some nice properties related to the monotonicity of the weight compatible order on the generalized support of a vector in $\mathbb F_q^n$. This allows us to describe a test set, a trial set and the set zero neighbours in terms of the leader codewords.

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Mijail Borges-Quintana, Miguel Angel Borges-Trenard, Edgar Martinez-Moro. 2014-11-27. On zero neighbours and trial sets of linear codes. https://arxiv.org/abs/1411.7493

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