On Repeated-Root Constacyclic Codes of Length 2ampr2^amp^r over Finite Fields

preprint2015arXivOpen access

Abstract

In this paper we investigate the structure of repeated root constacyclic codes of length 2ampr2^amp^r over Fps\mathbb{F}_{p^s} with a≥1a\geq1 and (m,p)=1(m,p)=1. We characterize the codes in terms of their generator polynomials. This provides simple conditions on the existence of self-dual negacyclic codes. Further, we gave cases where the constacyclic codes are equivalent to cyclic codes.

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