On a class of constacyclic codes over the non-principal ideal ring Zₚₛ+uZₚₛ

الأصل · EN

(1+pw)-constacyclic codes of arbitrary length over the non-principal ideal ring Zₚₛ +uZₚₛ are studied, where p is a prime, w∈ Zₚₛ× 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=2ˢ⁻²-1 or 2ˢ⁻¹-1 if s≥ 3, and w=1 if s=2.