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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 2, Pages 408–416
(Mi smj34)
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This article is cited in 2 scientific papers (total in 2 papers)
On distance nonregularity of Preparata codes
F. I. Solov'evaa, N. N. Tokarevab a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
b Novosibirsk State University, Mechanics and Mathematics Department
Abstract:
It is shown that among all Preparata codes only the code of length 16 is distance regular. An analogous result takes place for Preparata codes after puncturing any coordinate (only the code of length 15 is distance regular).
Keywords:
Preparata codes, perfect codes, distance regular codes, automorphism groups of codes.
Received: 20.12.2005
Citation:
F. I. Solov'eva, N. N. Tokareva, “On distance nonregularity of Preparata codes”, Sibirsk. Mat. Zh., 48:2 (2007), 408–416; Siberian Math. J., 48:2 (2007), 327–333
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https://www.mathnet.ru/eng/smj34 https://www.mathnet.ru/eng/smj/v48/i2/p408
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Abstract page: | 349 | Full-text PDF : | 85 | References: | 36 |
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