σ-self-orthogonal constacyclic codes of length p^s over F_p^m+u F_p^m

07/25/2018

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by   Hongwei Liu, et al.

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In this paper, we study the σ-self-orthogonality of constacyclic codes of length p^s over the finite commutative chain ring F_p^m + u F_p^m, where u^2=0 and σ is a ring automorphism of F_p^m + u F_p^m. First, we obtain the structure of σ-dual code of a λ-constacyclic code of length p^s over F_p^m + u F_p^m. Then, the necessary and sufficient conditions for a λ-constacyclic code to be σ-self-orthogonal are provided. In particular, we determine the σ-self-dual constacyclic codes of length p^s over F_p^m + u F_p^m. Finally, we extend the results to constacyclic codes of length 2 p^s.