Classification of the Subsets Bn, and the Additive Channels
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Abstract: The problem of classification of the subset of the vertices of the n-dimensional unit cube in respect to all “shifts” by a vector from Bn is studied. Some applications for the investigation of the additive channels of communication are represented.
Keywords:
Additive Channel,
Code,
Group,
Stabilizer,
Cardinality,
Transitive Set
Cite this paper:
Leontiev, V. , Movsisyan, G. and Osipyan, A. (2014) Classification of the Subsets Bn, and the Additive Channels. Open Journal of Discrete Mathematics, 4, 67-76. doi: 10.4236/ojdm.2014.43010.
References
[1] Lang, S. (1968) Algebra (in Russian). Moscow, Mir.
[2] Sachkow, W.N. (1977) Combinatric Methods of Descret Mathematics (in Russian). Nauka, Moscow.
[3] Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2006) Perfect Codes in Additive Channels. Reports of RAS, 411, 306-309 (in Russian).
[4] Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2008) On Perfect Codes in Additive Channels. Problems of Information Transmission, 44, 12-19.
[5] Leontiev, V.K., Movsisyan, G.L. and Margaryan, J.G. (2010) Correction of Errors in an Additive Channel. Vol. 2, Westnik RAU, 12-25 (in Armenian).