Abstract
The method of numerical and algebraic formalization and solution of the problem of synthesizing systems with the structure of one of the four varieties of combinatorial block designs has been substantiated. Analytical representations of the blocks and duality blocks of such systems are obtained when representing elements and numbering blocks and duality blocks by initial non-negative integers. In this case, algebraic block identifiers are used, which allows building blocks in a distributed manner, i.e. independently of one another. According to the substantiated method of formalizing the meaningful representations of systems, the same combinatorial block design can be a model of various synthesized systems. This thesis is illustrated by an example of the synthesis of a computer network and a key distribution scheme in a wireless sensor network.
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This work was supported by the Russian Foundation for Basic Research (project No. 19-01-00294 a).
Dedicated to the memory of Professor V.N. Vagin
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Frolov, A.B., Klyagin, A.O., Kochetova, N.P. et al. On the Synthesis of Systems Possessing the Structure of Some Combinatorial Designs. J. Comput. Syst. Sci. Int. 60, 585–594 (2021). https://doi.org/10.1134/S1064230721040067
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DOI: https://doi.org/10.1134/S1064230721040067