Volume 19, No 6, 2012, P. 3-8

UDC 519.725
S. V. Avgustinovich, E. V. Gorkunov 
On reconstruction of a binary code from dimensions of its subcodes

Abstract:
Regarding q-ary codes, we generalize the theorem on reconstructing of a binary code from dimensions of its subcodes. The new reconstruction theorem involves arbitrary positive integer q. We propose he term of a correlation coefficient for a set of subcodes of a code. Here correlation coefficient of subcodes is a q-ary analog for dimension of a subcode of a binary code.
Bibliogr. 6.

Keywords: code, strong isometry, reconstruction, equivalent codes.

Avgustinovich Sergey Vladimirovich ^1,2
Gorkunov Evgeny Vladimirovich ^1,2
1. S. L. Sobolev Institute of Mathematics, SB RAS,
4 Acad. Koptyug Ave., 630090 Novosibirsk, Russia
2. Novosibirsk State University,
2 Pirogov St., 630090 Novosibirsk, Russia
e-mail: avgust@math.nsc.ru, evgumin@gmail.com