Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4663969 | Acta Mathematica Scientia | 2014 | 11 Pages |
Abstract
In this article, we focus on cyclic and negacyclic codes of length 2ps over the ring R = pm+ upm, where p is an odd prime. On the basis of the works of Dinh (in J. Algebra 324,940-950,2010), we use the Chinese Remainder Theorem to establish the algebraic structure of cyclic and negacyclic codes of length 2ps over the ring pm+ upm in terms of polynomial generators. Furthermore, we obtain the number of codewords in each of those cyclic and negacyclic codes.
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