Classification of the Subsets Bn, and the Additive Channels - Open Journal of Discrete Mathematics

OJDM > Vol.4 No.3, July 2014

Classification of the Subsets Bⁿ, and the Additive Channels ()

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DOI: 10.4236/ojdm.2014.43010 3,526 Downloads 4,615 Views Citations

Author(s)

Vladimir Leontiev, Garib Movsisyan, Arthur Osipyan

Affiliation(s)

BIT Group, Moscow, Russia.
Moscow State University, Moscow, Russia.

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

Share and Cite:

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.

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