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A note on complete classification of $(\delta+\alpha u^2)$-constacyclic codes of length $p^k$ over $\F_{p^m}+u\F_{p^m}+u^2\F_{p^m}$

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arxiv 1702.04694 v1 pith:BNHS7AFU submitted 2017-02-15 cs.IT math.IT

classification cs.ITmath.IT
keywords alphadeltacodesconstacyclicmathbblengthanalyzedclassification
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abstract

For units $\delta$ and $\alpha$ in $\F_{p^m}$, the structure of $(\delta+\alpha u^2)$-constacyclic codes of length $p^k$ over $\mathbb{F}_{p^m}+u\mathbb{F}_{p^m}+u^2\mathbb{F}_{p^m}$ is studied and self-dual $(\delta+\alpha u^2)$-constacyclic codes are analyzed.

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