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JOURNALS // Diskretnyi Analiz i Issledovanie Operatsii // Archive
Diskretn. Anal. Issled. Oper., 2010 Volume 17, Issue 5, Pages 15–21 (Mi da621)
This article is cited 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.

UDC: 519.725

Received: 20.05.2010


 English version: Journal of Applied and Industrial Mathematics, 2011, 5:3, 348–351

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© Steklov Math. Inst. of RAS, 2024