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The nonexistence of [71,5,46;3]-codes

โœ Scribed by Noboru Hamada; Yoko Watamori

Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
789 KB
Volume
52
Category
Article
ISSN
0378-3758

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๐Ÿ“œ SIMILAR VOLUMES

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โœ Noboru Hamada; Yoko Watamori ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 143 KB

It is known (cf. Hamada, J. Combin. Inform. System Sci. 18 (1993b) that there is no ternary [78,6,51] code meeting the Griesmer bound and n 3(6; 51) = 79 or 80, where n3(k; d) denotes the smallest value of n for which there exists a ternary [n; k; d] code.

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In this paper we prove the nonexistence of quaternary linear codes with parameters [51,4, 37]. This result gives the exact value of n q (k, d) for q ฯญ 4, k ฯญ 4, d ฯญ 37 and 38. These were the only minimum distances for which the optimal length of a four-dimensional quaternary code was unknown. The pr

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It is unknown whether or not there exists a quaternary linear code with parameters [293, 5, 219], [289, 5, 216] or [277, 5, 207]. The purpose of this paper is to prove the nonexistence of quaternary linear codes with parameters [