Skew-constacyclic codes over $\mathscr{R}$

Cruz Mohan; Chinnapillai Durairajan

doi:10.26637/MJM0804/0028

Abstract

Let $p$ be an odd prime and $q=p^m$, where $m$ is a positive integer. We study the $\Theta_t$-cyclic and $\left(\Theta_t, \lambda\right)$-cyclic code over a finite commutative non-chain ring $\mathscr{R}=\mathbb{F}_q[u, v, w] /\left\langle u^2=u, v^2=v, w^2=1, u v=v u=0, u w=w u, w v=v w\right\rangle$, where $\lambda$ is a unit in $\mathscr{R}$.

Keywords:

Skew cyclic codes, quasi-cyclic codes, equivalent codes, linear codes, arbitrary lengths

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

Cruz Mohan Department of Mathematics, Bishop Heber College, Affiliated to Bharathidasan University, Tiruchirapalli-620017, Tamil Nadu, India.
Chinnapillai Durairajan Department of Mathematics, Bharathidasan University, Tiruchirapalli-620024, Tamil Nadu, India. https://orcid.org/0000-0001-9806-6590

Pages: 1502-1508
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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