The nonexistence of some ternary linear codes of dimension 6

DOI10.1016/j.disc.2004.07.003zbMath1065.94017OpenAlexW2016311992MaRDI QIDQ704289

Tatsuya Maruta

Publication date: 13 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.disc.2004.07.003

zbMATH Keywords

hyperplanesprojective geometrydiversityflatsternary linear codes

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27) Linear codes and caps in Galois spaces (51E22)

Related Items (4)

On the nonexistence of ternary linear codes attaining the Griesmer bound ⋮ On the coset graph construction of distance-regular graphs ⋮ Nonexistence of some ternary linear codes with minimum weight \(-2\) modulo 9 ⋮ On optimal non-projective ternary linear codes

Cites Work

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• Classification of some optimal ternary linear codes of small length
• Caps and codes
• Divisibility of codes meeting the Griesmer bound
• Uniqueness of \([87,5,57; 3\)-codes and the nonexistence of \([258,6,171; 3]\)-codes]
• Extendability of ternary linear codes
• The nonexistence of ternary \([105,6,68\) and \([230,6,152]\) codes]
• A new extension theorem for linear codes
• Some new results for optimal ternary linear codes
• Algebraically punctured cyclic codes
• A Bound for Error-Correcting Codes
• On the nonexistence of \(q\)-ary linear codes of dimension five
• The nonexistence of some quaternary linear codes of dimension 5

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