Λ+u2Λ2 - CONSTACYCLIC CODES OF LENGTH 2·5s OVER F5m + uF5m + u2F5m

Abstract

The aim of this paper is to study the class of Λ-constacyclic codes of length 2·5s over the finite commutative chain ring R3 = F5m[u] u3 = F5m + uF5m + u2F5m, for all units Λ of R3 that have the form Λ = Λ0 + u2Λ2, where Λ0,Λ2 ∈ F5m,Λ 0=0 , Λ2=0. The algebraic structures and duals of all Λ-constacyclic codes of length 2·5s over R3 are established.