Article citationsMore>>

Leontiev, V.K., Movsisyan, G.L., Osipyan, A.A. and Margaryan, Zh.G. (2014) On the Matrix and Additive Communication Channels. Journal of Information Security (JIS), 5, 178-191.

has been cited by the following article:

• TITLE: Algebra and Geometry of Sets in Boolean Space

  AUTHORS: Vladimir Leontiev, Garib Movsisyan, Zhirayr Margaryan

  KEYWORDS: Equations on Sets, Hausdorff Distance, Hamming Distance, Generating Function, Minkowski Sum, Sum of Sets

  JOURNAL NAME: Open Journal of Discrete Mathematics, Vol.6 No.2, March 31, 2016

  ABSTRACT: In the present paper, geometry of the Boolean space Bn in terms of Hausdorff distances between subsets and subset sums is investigated. The main results are the algebraic and analytical expressions for representing of classical figures in Bn and the functions of distances between them. In particular, equations in sets are considered and their interpretations in combinatory terms are given.