On self-dual cyclic codes over finite chain rings

نویسندگان

  • Aicha Batoul
  • Kenza Guenda
  • T. Aaron Gulliver
چکیده

Let R be a finite commutative chain ring with unique maximal ideal 〈γ〉, and let n be a positive integer coprime with the characteristic of R/〈γ〉. 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.

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عنوان ژورنال:
  • Des. Codes Cryptography

دوره 70  شماره 

صفحات  -

تاریخ انتشار 2014