Skew Constacyclic and LCD Codes over $ \mathbb{F}_{q}+v \mathbb{F}_{q} $

Ranya D. Boulanouar; Aicha Batoul

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arXiv · 1902.08557

Skew Constacyclic and LCD Codes over $ \mathbb{F}_{q}+v \mathbb{F}_{q} $

Ranya D. Boulanouar·Aicha Batoul

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Abstract

The aim of this paper is to give conditions for the equivalency between skew constacyclic codes, skew cyclic codes and skew negacyclic codes defined over semi-local rings. Also, we provide construction and an enumeration of Euclidean and Hermitian skew LCD cyclic codes over $ \mathbb{F}_{p^{t}}+ v \mathbb{F}_{p^{t}} $. Several optimal LCD codes are obtained from Gray images of LCD skew codes over semi-local rings.

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Ranya D. Boulanouar, Aicha Batoul. 2019-02-22. Skew Constacyclic and LCD Codes over $ \mathbb{F}_{q}+v \mathbb{F}_{q} $. https://arxiv.org/abs/1902.08557

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