Geodesic
The non-existence of [383, 5, 286] and [447, 5, 334] quaternary linear codes
Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 207-220 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

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It is known that \(n_4(5,286) = 383\) or 384 and \(n_4(5,334) = 447\) or 448, where \(n_q(k,d)\) is the minimum length \(n\) for which an \([n,k,d]_q\) code exists. We prove the non-existence of \([383,5,286]_4\) and \([447,5,334]_4\) codes, which determine the exact value of \(n_4(5,d)\) for \(d = 286, 334\).
Keywords: optimal linear code, Griesmer bound, geometric method, quaternary linear code, 94B27, 94B65, 94B05 
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     author = {Kanda, Hitoshi},
     title = {The non-existence of [383, 5, 286] and [447, 5, 334] quaternary linear codes},
     journal = {Serdica Mathematical Journal},
     pages = {207--220},
     year = {2021},
     volume = {46},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a0/}
}
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Kanda, Hitoshi. The non-existence of [383, 5, 286] and [447, 5, 334] quaternary linear codes. Serdica Mathematical Journal, Tome 46 (2021) no. 3, pp. 207-220. http://geodesic.mathdoc.fr/item/SMJ2_2021_46_3_a0/