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On zero neighbours and trial sets of linear codes

Information Theory 2014-12-01 v1 math.IT

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 Fqn\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.

Keywords

Cite

@article{arxiv.1411.7493,
  title  = {On zero neighbours and trial sets of linear codes},
  author = {Mijail Borges-Quintana and Miguel Angel Borges-Trenard and Edgar Martinez-Moro},
  journal= {arXiv preprint arXiv:1411.7493},
  year   = {2014}
}

Comments

Submitted to IEEE Trans. Inf. Th