Nonexistence of linear codes meeting the Griesmer bound

DOI10.1016/j.disc.2021.112744zbMath1495.94116OpenAlexW4200034605MaRDI QIDQ2075499

Jinquan Luo, Wen Ma

Publication date: 14 February 2022

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

Full work available at URL: https://doi.org/10.1016/j.disc.2021.112744

zbMATH Keywords

spectrumGriesmer boundarcsminihyper

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Blocking sets, ovals, (k)-arcs (51E21)

Cites Work

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• On the geometric constructions of optimal linear codes
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• On optimal linear codes over \(\mathbb F_8\)
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• On optimal linear codes over \(\mathbb F_5\)
• A characterization of \(\{ 2\upsilon{}_{\alpha{}+1}+2\upsilon{}_{\beta{}+1},2\upsilon_ \alpha{}+2\upsilon{}_ \beta{} ;t,q\}\)-minihypers in PG\((t,q)(t\geq 2,q\geq 5\) and \(0\leq\alpha{}<\beta{}<t)\) and its applications to error- correcting codes
• On the minimum length of quaternary linear codes of dimension five
• On the minimum size of some minihypers and related linear codes
• A characterization of some \([n,k,d;q\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry]
• On the minimum length of some linear codes
• On optimal non-projective ternary linear codes
• 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

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