A characterization of some \(\{ 3v_ 1+v_ 3,3v_ 0+v_ 2; 3,3\}\)-minihypers and its applications to error-correcting codes (Q1361708)

scientific article; zbMATH DE number 1040440

Language	Label	Description	Also known as
English	A characterization of some \(\{ 3v_ 1+v_ 3,3v_ 0+v_ 2; 3,3\}\)-minihypers and its applications to error-correcting codes	scientific article; zbMATH DE number 1040440

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instance of

scholarly article

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title

A characterization of some \(\{ 3v_ 1+v_ 3,3v_ 0+v_ 2; 3,3\}\)-minihypers and its applications to error-correcting codes (English)

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Journal of Statistical Planning and Inference

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publication date

20 October 1997

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zbMATH Keywords

linear codes

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strongly regular graphs

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minihypers

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Griesmer bound

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Strongly regular graphs, partial geometries and partially balanced designs

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Classification and Analysis of Partially Balanced Incomplete Block Designs with Two Associate Classes

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On a Bound Useful in the Theory of Factorial Designs and Error Correcting Codes

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The Geometry of Two-Weight Codes

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A Bound for Error-Correcting Codes

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A characterization of some \([n,k,d;q]\)-codes meeting the Griesmer bound using a minihyper in a finite projective geometry

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Q4894967

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Q4876796

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The nonexistence of ternary [231,6,153] codes

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A characterization of \(\{v_{\mu +1}+\epsilon,v_{\mu};t,q\}\)-min\(\cdot hypers\) and its applications to error-correcting codes and factorial designs

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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

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A characterization of some \(\{2v_{\alpha{}+1}+v_{\gamma{}+1},2v_ \alpha{}+v_ \gamma{};k-1,3\}\)-minihypers and some \((n,k,3^{k-1}- 2\cdot{}3^ \alpha{}-3^ \gamma{};3)\)-codes \((k\geq{}3,\;0 \leq{}\alpha{}< \gamma{}< k-1)\) meeting the Griesmer bound

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A characterization of some \(\{v_ 2+2v_ 3,v_ 1+2v_ 2;k-1,3\}\)-minihypers and some \((v_ k-30,k,3^{k-1}-21;3)\)-codes meeting the Griesmer bound

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Q4271179

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Q4314362

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A characterization of some \(\{3v_{\mu+ 1}, 3v_ \mu; k-1, q\}\)-minihypers and some \([n, k, q^{k-1}- 3q^ \mu; q]\)-codes \((k\geq 3\), \(q\geq 5\), \(1\leq \mu< k-1)\) meeting the Griesmer bound

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Q4877687

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Uniqueness of \([87,5,57; 3]\)-codes and the nonexistence of \([258,6,171; 3]\)-codes

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On the construction of \([q^ 4+q^ 2-q, 5, q^ 4-q^ 3+q^ 2-2q; q]\)-codes meeting the Griesmer bound

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Q4376627

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On a geometrical method of construction of maximal t-linearly independent sets

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Q4888092

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A characterization of codes meeting the Griesmer bound

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Caps and codes

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Optimal ternary linear codes

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Q3694152

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Q4146667

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Algebraically punctured cyclic codes

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Identifiers

zbMATH Open document ID

0873.05026

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DOI

10.1016/S0378-3758(96)00015-8

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:1361708