CONSTANT WEIGHT PERFECT AND $D$-REPRESENTABLE CODES

V.K. Leont'ev; G.L. Movsisyan; Zh.G. Margaryan

doi:10.46991/PYSU:A/2012.46.1.016

CONSTANT WEIGHT PERFECT AND $D$-REPRESENTABLE CODES

Authors

V.K. Leont'ev Computer Centre, Russian Academy of Sciences, Moscow, Russia
G.L. Movsisyan BIT Group, Moscow, Russia
Zh.G. Margaryan Chair of Discrete Mathematics and Theoretical Informatics, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2012.46.1.016

Keywords:

constant weight perfect codes, space splitting, Dirichlet regions, $D$-representable codes

Abstract

The problem of the existence of non trivial constant weight perfect codes in the $B^n$-space defined over $GF(2)$ remains unsolved up to now. It has been proved in the present paper that the problem of the existence of constant weight perfect codes is equivalent to the problem of the existence of $D$-representable codes in the fixed layer.

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Published

2012-03-06

How to Cite

Leont’ev, V., Movsisyan, G., & Margaryan, Z. (2012). CONSTANT WEIGHT PERFECT AND $D$-REPRESENTABLE CODES. Proceedings of the YSU A: Physical and Mathematical Sciences, 46(1 (227), 16–19. https://doi.org/10.46991/PYSU:A/2012.46.1.016