On reconstruction of binary codes by dimensions of their subcodes
Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 5, pp. 15-21

Voir la notice de l'article provenant de la source Math-Net.Ru

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
Mots-clés : reconstruction, equivalent codes.
@article{DA_2010_17_5_a1,
     author = {E. V. Gorkunov and S. V. Avgustinovich},
     title = {On reconstruction of binary codes by dimensions of their subcodes},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {15--21},
     publisher = {mathdoc},
     volume = {17},
     number = {5},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2010_17_5_a1/}
}
TY  - JOUR
AU  - E. V. Gorkunov
AU  - S. V. Avgustinovich
TI  - On reconstruction of binary codes by dimensions of their subcodes
JO  - Diskretnyj analiz i issledovanie operacij
PY  - 2010
SP  - 15
EP  - 21
VL  - 17
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/DA_2010_17_5_a1/
LA  - ru
ID  - DA_2010_17_5_a1
ER  - 
%0 Journal Article
%A E. V. Gorkunov
%A S. V. Avgustinovich
%T On reconstruction of binary codes by dimensions of their subcodes
%J Diskretnyj analiz i issledovanie operacij
%D 2010
%P 15-21
%V 17
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/DA_2010_17_5_a1/
%G ru
%F DA_2010_17_5_a1
E. V. Gorkunov; S. V. Avgustinovich. On reconstruction of binary codes by dimensions of their subcodes. Diskretnyj analiz i issledovanie operacij, Tome 17 (2010) no. 5, pp. 15-21. http://geodesic.mathdoc.fr/item/DA_2010_17_5_a1/