数学物理学报（英文版）
數學物理學報（英文版）
수학물이학보（영문판）
ACTA MATHEMATICA SCIENTIA
2014年
3期
829-839
,共11页
Negacyclic codes%cyclic codes%repeated-root codes%finite chain ring%finite local ring
In this article, we focus on cyclic and negacyclic codes of length 2ps over the ring R = Fpm +uFpm , 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 alge-braic structure of cyclic and negacyclic codes of length 2ps over the ring Fpm+uFpm in terms of polynomial generators. Furthermore, we obtain the number of codewords in each of those cyclic and negacyclic codes.
