Abstract

Let F2m be a finite field of cardinality 2m, R=F2m[u]∕〈u4〉=F2m+uF2m+u2F2m+u3F2m(u4=0) which is a finite chain ring, and n is an odd positive integer. For any δ,α∈F2m×, an explicit representation for the dual code of any (δ+αu2)-constacyclic code over R of length 2n is given. And some dual codes of (1+u2)-constacyclic codes over R of length 14 are constructed. For the case of δ=1, all distinct self-dual (1+αu2)-constacyclic codes over R of length 2n are determined.

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