On the construction of Griesmer codes of dimension 5

DOI10.1007/s10623-013-9914-4zbMath1331.94080OpenAlexW2056330741MaRDI QIDQ2340176

Tatsuya Maruta, Yuuki Kageyama

Publication date: 16 April 2015

Published in: Designs, Codes and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10623-013-9914-4

zbMATH Keywords

linear codesprojective geometryGriesmerprojective dual

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)

Related Items (4)

Construction of new Griesmer codes of dimension 5 ⋮ On the geometric constructions of optimal linear codes ⋮ Geometric extending of divisible codes and construction of new linear codes ⋮ On the minimum length of linear codes over \(\mathbb{F}_5\)

Cites Work

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• On optimal ternary linear codes of dimension 6
• Optimal ternary linear codes
• The correspondence between projective codes and 2-weight codes
• 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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