A family of constacyclic codes over 𝔽pm [υ, w]/〈υ2 − 1, w2 − 1, υw − wυ〉 Online publication date: Wed, 28-Oct-2020
by Habibul Islam; Ram Krishna Verma; Om Prakash
International Journal of Information and Coding Theory (IJICOT), Vol. 5, No. 3/4, 2020
Abstract: In this article, for any odd prime p, we study the constacyclic and skew constacyclic codes of arbitrary length over R = 𝔽pm [υ, w]/〈υ2 − 1, w2 − 1, υw − wυ〉. It is shown that the Gray images of constacyclic and skew constacyclic codes of length n over R are quasi-twisted and skew quasi-twisted codes, respectively over 𝔽pm of length 4 n with index 4. Also, the structures of constacyclic and skew constacyclic codes are obtained by decomposition method.
Online publication date: Wed, 28-Oct-2020
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