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Some new results on optimal codes over \(\mathbb F_5\)

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Publication:1406882
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DOI10.1023/A:1024763410967zbMath1035.94012OpenAlexW199357176MaRDI QIDQ1406882

Simonis, Juriaan, Iliya G. Bouyukliev

Publication date: 7 September 2003

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

Full work available at URL: https://doi.org/10.1023/a:1024763410967


zbMATH Keywords

Griesmer boundoptimal codesGriesmer codesAMDS codesdual transformalmost MDS codesQ-EXTENSION


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Geometric methods (including applications of algebraic geometry) applied to coding theory (94B27)


Related Items

Implementing Brouwer's database of strongly regular graphs ⋮ On the non-existence of a projective (75, 4, 12, 5) set in PG(3, 7) ⋮ On the minimum length of linear codes over \(\mathbb{F}_5\) ⋮ On sets of type \((m,m+q)_2\) in \(\mathrm{PG}(3,q)\) ⋮ Some optimal cyclic \(\mathbb{F}_q\)-linear \(\mathbb{F}_{q^t}\)-codes ⋮ \((l,s)\)-extension of linear codes ⋮ On optimal linear codes over \(\mathbb F_5\) ⋮ Classification of Griesmer codes and dual transform


Uses Software

  • Q-extension


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