Geodesic
On reconstruction of a~binary code from dimensions of its subcodes
Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 6, pp. 3-8

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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.
Mots-clés : code, reconstruction, equivalent codes.
Keywords: strong isometry 
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     author = {S. V. Avgustinovich and E. V. Gorkunov},
     title = {On reconstruction of a~binary code from dimensions of its subcodes},
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S. V. Avgustinovich; E. V. Gorkunov. On reconstruction of a~binary code from dimensions of its subcodes. Diskretnyj analiz i issledovanie operacij, Tome 19 (2012) no. 6, pp. 3-8. http://geodesic.mathdoc.fr/item/DA_2012_19_6_a0/