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arxiv: 1505.00356 · v1 · pith:KFCGYRNEnew · submitted 2015-05-02 · 💻 cs.IT · math.IT

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

classification 💻 cs.IT math.IT
keywords codesconstacycliclengthcasescharacterizeconditionscyclicequivalent
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In this paper we investigate the structure of repeated root constacyclic codes of length $2^amp^r$ over $\mathbb{F}_{p^s}$ with $a\geq1$ and $(m,p)=1$. 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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