Email this article Construction of a Reversible Full-cycle Transformation in a Threshold Basis
- Authors: Zobov A.I.1, Nikonov V.G.2
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Affiliations:
- Russian Academy of Natural Sciences
- Foundation for the Promotion of Secure Information Technologies
- Issue: Vol 10, No 2 (2023)
- Pages: 36-41
- Section: METHODS AND SYSTEMS OF INFORMATION PROTECTION, INFORMATION SECURITY
- URL: https://journal-vniispk.ru/2313-223X/article/view/251037
- DOI: https://doi.org/10.33693/2313-223X-2023-10-2-36-41
- EDN: https://elibrary.ru/BHHIVN
- ID: 251037
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Abstract
The article describes a class of full-cycle transformations in the threshold basis, defined by matrices of coefficients of linear forms, and proves that the definition of the inverse transformation is carried out using a system of threshold functions, the coefficients of which form the transposed matrix with respect to the original one.
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##article.viewOnOriginalSite##About the authors
Anton I. Zobov
Russian Academy of Natural Sciences
Author for correspondence.
Email: zobowai@gmail.com
research employee of Foundation for the Promotion of Secure Information Technologies
Russian Federation, MoscowVladimir G. Nikonov
Foundation for the Promotion of Secure Information Technologies
Email: zobowai@gmail.com
Doctor of Engineering, Professor; member at the Presidium of the Russian Academy of Natural Sciences
Russian Federation, MoscowReferences
- Zobov A.I., Nikonov V.G. On the possibility of applying fractal models in the construction of information security systems. Comp. nanotechnol. 2017. No. 1. Pp. 39–49. (In Rus.)
- Logachev O.A., Salnikov A.A., Smyshlyaev S.V., Yashchenko V.V. Boolean functions in coding theory and cryptography. 2nd ed., add. Moscow: MCCME, 2012. 584 p.
- Logachev O.A., Fedorov S.N., Yashchenko V.V. Boolean functions as points on the hypersphere in Euclidean space. Discrete Mathematics. 2018. Vol. 30. No. 1. Pp. 39–55. (In Rus.)
- Nikonov V.G., Sarantsev A.V. Methods for compact implementation of bijective mappings defined by regular systems of identical Boolean functions. Bulletin of the Peoples’ Friendship University of Russia. Series: Applied Mathematics and Industrial Mathematics. 2003. Vol. 2. No. 1. Pp. 94–105. (In Rus.)
- Yablonsky S.V. Introduction to discrete mathematics: textbook for universities. 2nd ed., rev. and add. Moscow: Nauka; Chief Ed. of Phys.-Math. Lit. 384 p.
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