On the nonexistence of some quaternary linear codes meeting the Griesmer bound

DOI10.1016/S0378-3758(98)00039-1zbMath0929.94031MaRDI QIDQ1299055

Noboru Hamada

Publication date: 2 February 2000

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

zbMATH Keywords

Griesmer boundminihypersquaternary linear code

Mathematics Subject Classification ID

Linear codes (general theory) (94B05) Combinatorial aspects of finite geometries (05B25)

Cites Work

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• A characterization of some minihypers in a finite projective geometry PG(t,4)
• 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 construction of \([q^ 4+q^ 2-q, 5, q^ 4-q^ 3+q^ 2-2q; q\)-codes meeting the Griesmer bound]
• Optimal ternary linear codes
• On a geometrical method of construction of maximal t-linearly independent sets
• Characterization of \(\{2(q+1) + 2, 2; t, q\}\)-minihypers in \(PG(t,q) (t\geqslant 3, q\in \{3,4\})\)
• A characterization of some \([n,k,d;q\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry]
• On the nonexistence of quaternary \([51, 4, 37\) codes]
• A characterization of codes meeting the Griesmer bound
• Algebraically punctured cyclic codes
• A Bound for Error-Correcting Codes
• On a Bound Useful in the Theory of Factorial Designs and Error Correcting Codes

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