Constructions of optimal quaternary constant weight codes via group divisible designs
type: Item
instance of: scholarly article
title: Constructions of optimal quaternary constant weight codes via group divisible designs
zbMATH Open document ID: 1202.94219
published in: Discrete Mathematics
publication date: 2009-12-15T00:00:00Z
review text: Generalized Steiner systems \(GS(2, k, v, g)\) were first introduced by Etzion who used them to construct optimal constant weight codes over an alphabet of size \(g + 1\) and minimum Hamming distance \(2k - 3\), in which each codeword has length \(v\) and weight \(k\). The paper constructs large classes of group divisible designs. The authors then use these group divisible designs for constructing codes and extend the known results on the existence of optimal quaternary constant weight codes.
Mathematics Subject Classification ID: 94B25
Mathematics Subject Classification ID: 05B07
Mathematics Subject Classification ID: 05B30
zbMATH DE Number: 5648133
zbMATH Keywords: group divisible designs
zbMATH Keywords: orthogonal arrays
zbMATH Keywords: skew starters
zbMATH Keywords: generalized steiner system group divisible designs
zbMATH Keywords: arrays
zbMATH Keywords: generalized group divisible designs
zbMATH Keywords: generalized steiner system system
author: Dianhua Wu
author: Ping-Zhi Fan
reviewed by: Sharad Sane
MaRDI profile type: Publication
full work available at URL: j.disc.2009.05.003
OpenAlex ID: W2090990524
cites work: Q3737429
cites work: Q4081121
cites work: Constant weight codes and group divisible designs
cites work: Optimal (4up, 5, 1) optical orthogonal codes
cites work: Generalized steiner triple systems with group size five
cites work: Starters and related codes
cites work: Q4873725
cites work: Q4026147
cites work: Optimal constant weight codes over \(Z_k\) and generalized designs
cites work: Q4529508
cites work: Generalized Steiner triple systems with group size \(g\equiv 0,3 \pmod 6\)
cites work: Construction of optimal ternary constant weight codes via Bhaskar Rao designs
cites work: 4‐*GDDs(3n) and generalized Steiner systems GS(2, 4, v, 3)
cites work: Some new optimal quaternary constant weight codes
cites work: Q4455144
cites work: On Some Tactical Configurations
cites work: Existence of generalized Steiner systems \(\text{GS}(2,4,v,2)\)
cites work: Q4146667
cites work: Q4065553
cites work: Q4552249
cites work: Generalized Steiner systems with block size three and group sizeg ? 3(mod 6)
cites work: Generalized Steiner triple systems with group size \(g=7,8\).
cites work: Maximum distance holey packings and related codes
DOI: 10.1016/J.DISC.2009.05.003
description: scientific article; zbMATH DE number 5648133