One generator quasi-cyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
type: Item
instance of: scholarly article
title: One generator quasi-cyclic codes over \(\mathbb F_2 + u\mathbb F_2\)
zbMATH Open document ID: 1305.94110
author: Taher Abualrub
author: Bahattin Yildiz
author: Irfan Siap
published in: Journal of the Franklin Institute
publication date: 2012-12-28T00:00:00Z
Mathematics Subject Classification ID: 94B15
Mathematics Subject Classification ID: 94B05
zbMATH DE Number: 6118887
zbMATH Keywords: type
zbMATH Keywords: minimal spanning set
zbMATH Keywords: rank
zbMATH Keywords: lower bound for minimum distance of free quasi-cyclic codes
zbMATH Keywords: 2-quasi-cyclic codes
zbMATH Keywords: optimal binary linear codes
MaRDI profile type: Publication
full work available at URL: j.jfranklin.2011.10.020
OpenAlex ID: W2319594462
Wikidata QID: Q58473661
cites work: Cyclic codes over the rings \(\mathbb Z_2 + u\mathbb Z_2\) and \(\mathbb Z_2 + u\mathbb Z_2 + u^2 \mathbb Z_2\)
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cites work: Six new binary quasi-cyclic codes
cites work: Optimal ternary quasi-cyclic codes
cites work: Nine good rate (m-1)/pm quasi-cyclic codes
cites work: Some best rate 1/p and rate (p-1)/p systematic quasi-cyclic codes over GF(3) and GF(4)
cites work: \((1+\lambda u)\)-constacyclic codes over \(\mathbb F_{p}[u]/\langle u^m\rangle\)
cites work: Linear codes over \({\mathbb F}_{q}[u]/(u^s)\) with respect to the Rosenbloom-Tsfasman metric
cites work: Cyclic DNA codes over the ring \(F_2[u]/(u^2-1)\) based on the deletion distance
cites work: New ternary quasi-cyclic codes with better minimum distances
cites work: Quaternary quasi-cyclic codes with even length components
cites work: Some rate-&lt;tex&gt;p/(p+1)&lt;/tex&gt;quasi-cyclic codes (Corresp.)
cites work: Linear codes over \({\mathbb{F}_2+u\mathbb{F}_2+v\mathbb{F}_2+uv\mathbb{F}_2}\)
cites work: Cyclic codes over \({\mathbb{F}}_2 + u{\mathbb{F}}_2 + v{\mathbb{F}}_2 + uv{\mathbb{F}}_2\)
DOI: 10.1016/J.JFRANKLIN.2011.10.020
DBLP publication ID: journals/jfi/SiapAY12
description: scientific article; zbMATH DE number 6118887