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

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Uniqueness of \([87,5,57; 3\)-codes and the nonexistence of \([258,6,171; 3]\)-codes] ⋮ The nonexistence of \([71,5,46;3\)-codes]

Cites Work

A characterization of \(\{v_{\mu +1}+\epsilon,v_{\mu};t,q\}\)-min\(\cdot hypers\) and its applications to error-correcting codes and factorial designs
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
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
On a geometrical method of construction of maximal t-linearly independent sets
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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]
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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