Construction of optimal ternary constant weight codes via Bhaskar Rao designs
type: Item
instance of: scholarly article
title: Construction of optimal ternary constant weight codes via Bhaskar Rao designs
zbMATH Open document ID: 1158.05009
author: Gennian Ge
published in: Discrete Mathematics
publication date: 2008-05-29T00:00:00Z
review text: The author considers a construction for optimal ternary constant weight codes (CWCs) via Bhaskar Rao designs (BRDs). The known existence results for BRDs are employed to generate new optimal nonlinear ternary CWCs with constant weight 4 and minimum Hamming distance 5.
Mathematics Subject Classification ID: 05B05
zbMATH DE Number: 5280705
zbMATH Keywords: Bhaskar Rao design
zbMATH Keywords: constant weight codes
zbMATH Keywords: generalized Steiner systems
zbMATH Keywords: ternary codes
MaRDI profile type: Publication
full work available at URL: j.disc.2006.06.034
OpenAlex ID: W2009385196
cites work: Upper bounds for constant-weight codes
cites work: Q4718791
cites work: Q5629087
cites work: Bounds on mixed binary/ternary codes
cites work: A new table of constant weight codes
cites work: Generalized steiner triple systems with group size five
cites work: Starters and related codes
cites work: Q4873725
cites work: Q4876941
cites work: Q3222213
cites work: Q3480050
cites work: More \(c\)-Bhaskar Rao designs with small block size
cites work: Some new codes from algebraic curves
cites work: Optimal constant weight codes over \(Z_k\) and generalized designs
cites work: On the Svanstrom bound for ternary constant-weight codes
cites work: On the constructions of constant-weight codes
cites work: Bhaskar Rao designs with block size four
cites work: 4‐*GDDs(3n) and generalized Steiner systems GS(2, 4, v, 3)
cites work: On c‐Bhaskar Rao designs with block size 4
cites work: Some ternary and quaternary codes and associated sphere packings
cites work: On perfect ternary constant weight codes
cites work: Q3323848
cites work: Q4146667
cites work: Ternary constant weight codes
cites work: Regular group divisible designs and Bhaskar Rao designs with block size three
cites work: A lower bound for ternary constant weight codes
cites work: A class of perfect ternary constant-weight codes
cites work: Bounds and constructions for ternary constant-composition codes
cites work: Genetic algorithms in coding theory -- a table for \(A_ 3(n, d)\)
cites work: Generalized Steiner triple systems with group size \(g=7,8\).
cites work: Generalized Steiner systems \(\text{GS}_4(2,4,v,g)\) for \(g=2,3,6\)
cites work: Generalized Steiner systems GS\((2,4,\nu,2)\) with \(\nu\) a prime power \(\equiv 7\pmod{12}\)
cites work: Maximum distance holey packings and related codes
DOI: 10.1016/J.DISC.2006.06.034
description: scientific article; zbMATH DE number 5280705