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Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy

Information Theory 2015-07-22 v1 math.IT

Abstract

Linear codes have been an interesting topic in both theory and practice for many years. In this paper, for a prime pp, we determine the explicit complete weight enumerators of a family of linear codes over Fp\mathbb{F}_p with defining set related to cyclotomy. These codes may have applications in cryptography and secret sharing schemes.

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Cite

@article{arxiv.1507.05732,
  title  = {Complete Weight Enumerator of a Family of Linear Codes from Cyclotomy},
  author = {Shudi Yang and Zhang-An Yao and Chang-An Zhao},
  journal= {arXiv preprint arXiv:1507.05732},
  year   = {2015}
}

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13 pages