Two classes of optimal \(p\)-ary few-weight codes from down-sets
type: Item
instance of: scholarly article
title: Two classes of optimal \(p\)-ary few-weight codes from down-sets
zbMATH Open document ID: 1483.94070
published in: Discrete Applied Mathematics
publication date: 2021-01-13T00:00:00Z
review text: In this paper, the authors are interested in constructions of codes over the ring \(\mathbb{F}_p+u\mathbb{F}_p\), \(u^2=u\). They present two constructions using so called down-sets and when the down-sets are generated by a single maximal element, the Lee weight distributions of two classes of codes are computed. Further, using the Gray image of these codes the authors obtain two classes of minimal and distance optimal codes.
Mathematics Subject Classification ID: 94B05
Mathematics Subject Classification ID: 94B65
zbMATH DE Number: 7293742
zbMATH Keywords: weight enumerator
zbMATH Keywords: simplicial complexes
zbMATH Keywords: Gray map
zbMATH Keywords: Griesmer bound
author: Minjia Shi
author: Xiao-Xiao Li
reviewed by: Andrea Švob
MaRDI profile type: Publication
full work available at URL: j.dam.2020.10.027
OpenAlex ID: W3112679348
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DOI: 10.1016/J.DAM.2020.10.027
description: scientific article; zbMATH DE number 7293742