English

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

Information Theory 2019-02-25 v1 math.IT

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 Fpt+vFpt \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.

Keywords

Cite

@article{arxiv.1902.08557,
  title  = {Skew Constacyclic and LCD Codes over $ \mathbb{F}_{q}+v \mathbb{F}_{q} $},
  author = {Ranya D. Boulanouar and Aicha Batoul},
  journal= {arXiv preprint arXiv:1902.08557},
  year   = {2019}
}
R2 v1 2026-06-23T07:48:21.778Z