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Diskretnyi Analiz i Issledovanie Operatsii, 2010, Volume 17, Issue 5, Pages 15–21
(Mi da621)
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This article is cited in 1 scientific paper (total in 1 paper)
On reconstruction of binary codes by dimensions of their subcodes
E. V. Gorkunova, S. V. Avgustinovichba a Novosibirsk State University, Novosibirsk, Russia
b S. L. Sobolev Institute of Mathematics, SB RAS, Novosibirsk, Russia
Abstract:
It is proved that if there is a bijection between two binary codes that preserves dimensions of their subcodes with even cardinality, then the codes are equivalent. It is shown that this theorem is unimprovable. Bibliogr. 9.
Keywords:
binary code, strong isometry, reconstruction, equivalent codes.
Received: 20.05.2010
Citation:
E. V. Gorkunov, S. V. Avgustinovich, “On reconstruction of binary codes by dimensions of their subcodes”, Diskretn. Anal. Issled. Oper., 17:5 (2010), 15–21; J. Appl. Industr. Math., 5:3 (2011), 348–351
Linking options:
https://www.mathnet.ru/eng/da621 https://www.mathnet.ru/eng/da/v17/i5/p15
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