On optimal linear codes over \(\mathbb F_5\)

DOI10.1016/j.disc.2008.01.047zbMath1171.94011OpenAlexW2064007968MaRDI QIDQ1024432

Ayako Kikui, Tatsuya Maruta, Maori Shinohara

Publication date: 17 June 2009

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

Full work available at URL: https://doi.org/10.1016/j.disc.2008.01.047

zbMATH Keywords

arcbounds on codesfinite projective geometryblocking setminihyperextension of a linear codemain coding theory problemoptimal linear code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22) Combinatorial aspects of finite geometries (05B25) Blocking sets, ovals, (k)-arcs (51E21)

Related Items (5)

On multiple caps in finite projective spaces ⋮ On the minimum length of linear codes over \(\mathbb{F}_5\) ⋮ On the minimum length of linear codes over the field of 9 elements ⋮ Extendability of 3-weight (mod \(q\)) linear codes over \(\mathbb F_q\) ⋮ Nonexistence of linear codes meeting the Griesmer bound

Uses Software

• MinT

Cites Work

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