\(F_3R\)-skew cyclic codes
type: Item
instance of: scholarly article
title: \(F_3R\)-skew cyclic codes
zbMATH Open document ID: 1403.94120
DOI: 10.1504/IJICOT.2016.076967
author: Yong-Cai Geng
author: Sumit K. Garg
published in: International Journal of Information and Coding Theory
publication date: 2017-03-14T00:00:00Z
review text: Summary: In this paper, a new class of skew-cyclic codes, termed as \(F_3R\)-skew cyclic codes, is defined, where \(R\) denotes the ring \(F_3+uF_3,u^2=u\). These codes are of length \(\alpha+\beta\) and are submodules of the \(R\)-module \(F_3^\alpha R^\beta\). We study some structural properties of skew cyclic codes over \(R\) and \(F_3R\)-skew cyclic codes. The generator polynomials of these codes are studied. Some examples are given to illustrate the results. An optimal ternary code is obtained as the Gray image of an \(F_3R\)-skew cyclic code.
Mathematics Subject Classification ID: 94B15
zbMATH DE Number: 6694901
zbMATH Keywords: \(F_3R\)-skew cyclic codes
zbMATH Keywords: Gray map
zbMATH Keywords: non-commutative rings
zbMATH Keywords: skew cyclic codes
zbMATH Keywords: generator polynomials
MaRDI profile type: Publication
full work available at URL: ijicot.2016.076967
OpenAlex ID: W2416281007
description: scientific article; zbMATH DE number 6694901