Nonexistence of a[\(g_q(5,d),5,d]_q\) code for \(3q^4-4q^3-2q+1\leqslant d\leqslant 3q^4-4q^3-q\)

DOI10.1016/j.disc.2007.08.033zbMath1143.94027OpenAlexW1877301115MaRDI QIDQ925002

Seon Jeong Kim, Eun Ju Cheon, Takao Kato

Publication date: 29 May 2008

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2007.08.033

zbMATH Keywords

projective spaceGriesmer boundlinear code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items

On the geometric constructions of optimal linear codes ⋮ On the minimum length of linear codes over \(\mathbb{F}_5\)

Cites Work

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• On the nonexistence of \(q\)-ary linear codes of dimension five
• The nonexistence of some quaternary linear codes of dimension 5