Construction of new Griesmer codes of dimension 5

DOI10.1016/j.ffa.2018.10.007zbMath1404.94153OpenAlexW2899446902WikidataQ128975445 ScholiaQ128975445MaRDI QIDQ1633303

Yuto Inoue, Tatsuya Maruta

Publication date: 19 December 2018

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ffa.2018.10.007

zbMATH Keywords

linear codesprojective geometryprojective dualdivisible codes

Mathematics Subject Classification ID

Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial structures in finite projective spaces (51E20)

Related Items (4)

On the nonexistence of ternary linear codes attaining the Griesmer bound ⋮ Geometric extending of divisible codes and construction of new linear codes ⋮ Unnamed Item ⋮ An infinite family of Griesmer quasi-cyclic self-orthogonal codes

Cites Work

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• On the geometric constructions of optimal linear codes
• On optimal ternary linear codes of dimension 6
• The correspondence between projective codes and 2-weight codes
• On the minimum length of \(q\)-ary linear codes of dimension four
• On the construction of Griesmer codes of dimension 5
• On optimal non-projective ternary linear codes
• On the minimum length of some linear codes of dimension 5
• On the nonexistence of \(q\)-ary linear codes of dimension five

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