Characterization of \(\{2(q+1) + 2, 2; t, q\}\)-minihypers in \(PG(t,q) (t\geqslant 3, q\in \{3,4\})\)

DOI10.1016/0012-365X(93)90487-EzbMath0776.51011OpenAlexW2019432609MaRDI QIDQ1801697

Øyvind Ytrehus, Noboru Hamada, Tor Helleseth

Publication date: 20 June 1993

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

Full work available at URL: https://doi.org/10.1016/0012-365x(93)90487-e

zbMATH Keywords

codesminihypers

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Linear codes and caps in Galois spaces (51E22) Combinatorial structures in finite projective spaces (51E20)

Related Items (5)

Uniqueness of \([87,5,57; 3\)-codes and the nonexistence of \([258,6,171; 3]\)-codes] ⋮ A characterization of some \(\{ 3v_ 2+v_ 3,3v_ 1+v_ 2; 3,3\}\)-minihypers and some \([15,4,9; 3\)-codes with \(B_ 2=0\)] ⋮ A characterization of some \([n,k,d;q\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry] ⋮ Classification of Griesmer codes and dual transform ⋮ On the nonexistence of some quaternary linear codes meeting the Griesmer bound

Cites Work

• Characterization of \(\{(q+1)+2,1;t,q\}-\min \cdot hypers\) and \(\{2(q+1)+2,2;2,q\}-\min \cdot hypers\) in a finite projective geometry
• Characterization of \(\{2(q+1)+2,2;t,q\}\)-\(\min \cdot hypers\) in PG(t,q) (t\(\geq 3,q\geq 5)\) and its applications to error-correcting codes
• A Bound for Error-Correcting Codes

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