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Nonexistence of a[\(g_q(5,d),5,d]_q\) code for \(3q^4-4q^3-2q+1\leqslant d\leqslant 3q^4-4q^3-q\)

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Publication:925002
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DOI10.1016/j.disc.2007.08.033zbMath1143.94027OpenAlexW1877301115MaRDI QIDQ925002

Seon Jeong Kim, Eun Ju Cheon, Takao Kato

Publication date: 29 May 2008

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

Full work available at URL: https://doi.org/10.1016/j.disc.2007.08.033


zbMATH Keywords

projective spaceGriesmer boundlinear code


Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Bounds on codes (94B65) Combinatorial aspects of finite geometries (05B25) Combinatorial structures in finite projective spaces (51E20)


Related Items

On the geometric constructions of optimal linear codes ⋮ On the minimum length of linear codes over \(\mathbb{F}_5\)



Cites Work

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  • On the minimum length of quaternary linear codes of dimension five
  • On a particular class of minihypers and its applications. I: The result for general \(q\)
  • On the minimum length of some linear codes of dimension 5
  • Nonexistence of \([n,5,d_q\) codes attaining the Griesmer bound for \(q^4-2q^2-2q+1\leq d\leq q^4-2q^2-q\).]
  • 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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