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Complete b-symbol weight distribution of some irreducible cyclic codes

Information Theory 2021-10-05 v1 math.IT

Abstract

Recently, bb-symbol codes are proposed to protect against bb-symbol errors in bb-symbol read channels. It is an interesting subject of study to consider the complete bb-symbol weight distribution of cyclic codes since bb-symbol metric is a generalization for Hamming metric. The complete bb-symbol Hamming weight distribution of irreducible codes is known in only a few cases. In this paper, we give a complete bb-symbol Hamming weight distribution of a class of irreducible codes with two nonzero bb-symbol Hamming weights.

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Cite

@article{arxiv.2110.00805,
  title  = {Complete b-symbol weight distribution of some irreducible cyclic codes},
  author = {Hongwei Zhu and Minjia Shi and Ferruh Ozbudak},
  journal= {arXiv preprint arXiv:2110.00805},
  year   = {2021}
}