Self-dual cyclic codes over finite chain rings

Bocong Chen; San Ling; Guanghui Zhang

Self-dual cyclic codes over finite chain rings

Information Theory 2014-05-13 v1 math.IT

Authors: Bocong Chen , San Ling , Guanghui Zhang

Abstract

Let $R$ be a finite commutative chain ring with unique maximal ideal $\langle \gamma\rangle$ , and let $n$ be a positive integer coprime with the characteristic of $R/\langle \gamma\rangle$ . In this paper, the algebraic structure of cyclic codes of length $n$ over $R$ is investigated. Some new necessary and sufficient conditions for the existence of nontrivial self-dual cyclic codes are provided. An enumeration formula for the self-dual cyclic codes is also studied.

Keywords

coding theory sequence design

Cite

@article{arxiv.1405.2602,
  title  = {Self-dual cyclic codes over finite chain rings},
  author = {Bocong Chen and San Ling and Guanghui Zhang},
  journal= {arXiv preprint arXiv:1405.2602},
  year   = {2014}
}

Comments

15 pages

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