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Nonexistence of some linear codes over the field of order four

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Publication:1660244
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DOI10.1016/j.disc.2018.06.024zbMath1398.94217OpenAlexW2882992697MaRDI QIDQ1660244

Hitoshi Kanda, Tatsuya Maruta

Publication date: 15 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.disc.2018.06.024


zbMATH Keywords

Griesmer boundgeometric methodoptimal linear code


Mathematics Subject Classification ID

Linear codes (general theory) (94B05)


Related Items (1)

On the extendability of quaternary linear codes with four weights modulo 16



Cites Work

  • Extension theorems for linear codes over finite fields
  • On the minimum length of linear codes over the field of 9 elements
  • On the minimum length of quaternary linear codes of dimension five
  • Extendability of quaternary linear codes
  • New bounds for \(n_{4}(k,d)\) and classification of some optimal codes over GF(4)
  • On the nonexistence of quaternary \([51, 4, 37\) codes]
  • On optimal non-projective ternary linear codes
  • The Geometry of Two-Weight Codes
  • On the nonexistence of \(q\)-ary linear codes of dimension five
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