Email this article About Some Properties of Quasi-hadamard Matrices Defining Bijective Transformations
- Authors: Nikonov V.G.1, Kononov S.A.2
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Affiliations:
- Presidium of Russian Academy of Natural Sciences
- Secure Information Technology Assistance Foundation
- Issue: Vol 9, No 1 (2022)
- Pages: 32-38
- Section: Articles
- URL: https://journals.rcsi.science/2313-223X/article/view/147104
- DOI: https://doi.org/10.33693/2313-223X-2022-9-1-32-38
- ID: 147104
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Abstract
The article continues studies of bijective mapping determined by quasi-hadamard matrices started in work [8]. It is proved that for different quasi-hadamard martices there are different mappings. All quasi-hadamard matrices of orders 4 and 8 are also described.
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##article.viewOnOriginalSite##About the authors
Vladimir G. Nikonov
Presidium of Russian Academy of Natural Sciences
Email: nikonovu@yandex.ru
Dr. Sci. (Eng.); a member of the Presidium of Russian Academy of Natural Sciences. Moscow, Russian Federation
Sergey A. Kononov
Secure Information Technology Assistance Foundation
Email: cononovsa@yandex.ru
Moscow, Russian Federation
References
- Belevitch V. Theorem of 2n terminal networks with application to conference telephony // Electrical Communication. 1950. Vol. 26. Pp. 231-244
- Goethals J.M., Seidel J.J. Orthogonal matrices with zero diagonal // Canadian Journal of Mathematic. 1967. Vol. 19. Pp. 1001-1010.
- Burdelev A.V. Questions of independence threshold equiprobable Boolean functions. Forestry Bulletin. 2009. No. 3. Pp.116-119. (In Rus.)
- Burdelev A.V. Simplification of criterion Huffman for monotonous self-dual Boolean functions. Forestry Bulletin. 2010. No. 6. Pp.178-183. (In Rus.)
- Glukhov M.M., Elizarov V.P., Nechaev A.A. Algebra. Moscow: Lan, 2015.
- Dertouzos М.L. Threshold logic: A synthesis approach. Cambridge, Massachusetts: MIT Press, 1965.
- Nikonov V.G., Zobov A.I. About possibility of using fractal models in data security system construction. Computantional Nanotechnology. 2017. No. 1. Pp. 39-48. (In Rus.)
- Nikonov V.G., Litvinenko V.S. Geometrical approach to the argumentum of bijection of one coordinate-threshold reflection. Computantional Nanotechnology. 2015. No. 1. Pp. 26-31. (In Rus.)
- Nikonov V.G., Litvinenko V.S. About bijectivity of transformations determined by quasi-hadamard matrixes. Computantional Nanotechnology. 2016. No. 1. Pp. 6-13. (In Rus.)
- Nikonov V.G, Sidorov Е.С. About the possibility of one-to-one mappings’ representation by the quasi-hadamard matrixes. Forestry Bulletin. 2009. No. 2. Pp. 155-158. (In Rus.)
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