Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4582632 | Finite Fields and Their Applications | 2016 | 22 Pages |
Abstract
Let R be a finite commutative chain ring with unique maximal ideal 〈γ〉〈γ〉, and let n be a positive integer relatively prime to the characteristic of R/〈γ〉R/〈γ〉. In this paper, some new necessary and sufficient conditions for the existence of nontrivial self-dual cyclic codes of length n over R are provided. Explicit enumeration formulas for self-dual cyclic codes over R are studied. In particular, several main results of [21] are special cases of the present paper.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Bocong Chen, San Ling, Guanghui Zhang,