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This paper generalizes the duality between multidimensional cyclic codes and torus groups. Innovative multidimensional coded design techniques for improving the quality indices of data coding (e.g. self-checking codes) based on tori geometry, is given. These design techniques make it possible to configure high performance multidimensional coded systems and design of signals for communications and...
This paper presents regular method for improving the quality indices of 2D code control systems with respect to minimizing of redundancy and complicity of the systems based on the “perfect” combinatorial configurations prospected from 2D torus cyclic groups, namely the concept of 2D Ideal Ring Bundles (IRBs).
The concept of creating of the embody reliability in design of cyber-physical systems, using novel techniques based on the combinatorial configurations, including two- and multidimensional Ideal Ring Bundles (IRB)s is developed. These design techniques make it possible to configure cyberphysical systems with fewer elements than at present, while maintaining or improving on resolving ability, structural...
In this paper the innovative coded design techniques for improving the quality indices of data coding (e.g. self-checking codes) based on the “perfect” symmetrical and non-symmetrical relationships, namely the concept of Ideal Ring Bundles (IRBs), are given. These design techniques make it possible to configure high performance coded systems and design of signals for communications and radar, visual...
Applications of the combinatorial configurations as mathematical models for innovative design of logistic control processes, is known, provide improving the quality indices of the processes with respect to functional flexibility and control operation. The idea of these methods to the improvement of logistic processes is design based on so-called Ideal Ring Bundles (IRB)s — a kind of combinatorial...
Application of the Perfect Combinatorial Sequences Theory, namely the concept of Ideal Ring Bundles (IRBs), for improving the quality indices of engineering devices or systems based on combinatorial technique is proposed in the paper. For example, resolving ability of radar is known to be of very dependent from positioning of elements in antenna array; high-performance technology of information coding...
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