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 Theoretical Foundations of Applied Discrete Mathematics Necessary and sufficient conditions of linear structure triviality for monomial mapping on the field of $2^{2^t}$ elementsA. N. Alekseychuk, R. V. Proskurovskiy 5 Galois relation for closed classes of discrete functionsN. G. Parvatov 10 The properties of $h$-periodic sequencesV. M. Fomichev 16 An additive approach to nonlinear degree of discrete functionA. V. Cheremushkin 22 Mathematical Methods of Cryptography High-speed pseudorandom sequence generators based on cellular automataB. M. Sukhinin 34 Mathematical Methods of Steganography Modified Hotelling's chart excluding trend influence and its application for digital watermarks detectionB. B. Borisenko 42 Mathematical Foundations of Reliability of Computing and Control Systems Application of unreliable tests for self-diagnostics of modular computing systems at multiple faultsYu. K. Dimitriev, A. F. Zadorozhny 59 An analytical approach to the synthesis of regular graphs with preset values of the order, degree and girthV. A. Melent'ev 74 Mathematical Foundations of Informatics and Programming Elasticity of algorithmsV. V. Bykova 87 The discovery of faulty work with resources in the softwareV. V. Gorelov 96 Applied Automata Theory On constructing minimal deterministic finite automaton recognizing a prefix-code of a given cardinalityI. R. Akishev, M. E. Dvorkin 104 Solving parallel equations over $\omega$-languagesV. G. Bushkov, N. V. Yevtushenko 117