On a class of constacyclic codes over the non-principal ideal ring $\mathbb{Z}_{p^s}+u\mathbb{Z}_{p^s}$
نویسندگان
چکیده
(1+pw)-constacyclic codes of arbitrary length over the nonprincipal ideal ring Zps + uZps are studied, where p is a prime, w ∈ Z × ps and s an integer satisfying s ≥ 2. First, the structure of any (1 + pw)constacyclic code over Zps +uZps are presented. Then enumerations for the number of all codes and the number of codewords in each code, and the structure of dual codes for these codes are given, respectively. Then self-dual (1 + 2w)-constacyclic codes over Z2s + uZ2s are investigated, where w = 2 − 1 or 2 − 1 if s ≥ 3, and w = 1 if s = 2.
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