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A New Family of Boolean Functions with Good Cryptographic Properties
Axioms. 2021. Vol. 10. No. 2. Article 42.
Sosa Gómez G., Paez-Osuna O., Rojas O. et al., Mathematics 2022 Vol. 10 No. 6 Article 899
Added: September 18, 2026
Freyre-Echevarría A., Martínez-Díaz I., Legón-Pérez C. M. et al., IEEE Access 2020 Vol. 8 P. 202728–202737
Added: September 18, 2026
Martínez-Díaz I., Legón-Pérez C. M., Sosa Gómez G., Cryptography 2025 Vol. 9 No. 2 Article 45
Added: September 18, 2026
Sosa Gómez G., Cryptography 2026 Vol. 10 No. 4 Article 43
Added: September 18, 2026
I. P. Koroleva (Kikot), Kosevich Y. A., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2023 Vol. 107 No. 5 Article 054217
The paper is devoted to analytical and numerical studies of the effects of nonlinearity on the two-path phonon
interference in the transmission through two-dimensional arrays of atomic defects embedded in a lattice. The
emergence of transmission antiresonance (transmission node) in the two-path system is demonstrated for the
few-particle nanostructures, which allow us to model both linear and nonlinear ...
Added: May 18, 2023
М. А. Коврижных, Д. Б. Фомин, Прикладная дискретная математика 2022 № 57 С. 5–21
In this paper, we study a generalized construction of (2m, 2m)-functions using monomial and arbitrary m-bit permutations as constituent elements. We investigate the possibility of constructing bijective vectorial Boolean functions (permutations) with specified cryptographic properties that ensure the resistance of encryption algorithms to linear and differential methods of cryptographic analysis. We propose a heuristic algorithm ...
Added: October 8, 2022
Parfenyev V., Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 2022 Vol. 106 No. 2 Article 025102
It is well known that an inverse turbulent cascade in a finite ($2 \pi \times 2 \pi$) two-dimensional periodic domain leads to the emergence of a system-sized coherent vortex dipole. We report a numerical hyperviscous study of the spatial vorticity profile inside one of the vortices. The exciting force was shortly correlated in time, random ...
Added: August 10, 2022
Коврижных М. А., Fomin D., Прикладная дискретная математика. Приложение 2021 № 14 С. 181–184
Bijective vector Boolean functions (permuta- tions) are used as nonlinear primitives of many symmetric ciphers. In this paper, we study a generalized construction of (2m, 2m)-functions using monomial and arbitrary m-bit per- mutations as constituent elements. A heuristic algorithm for obtaining bijective Boolean functions with given nonlinearity and differential uniformity, based on this construction, is proposed. For ...
Added: September 22, 2021
Fedorov S., Логачёв О. А., Ященко В. В., Discrete Mathematics and Applications 2020 Vol. 30 No. 2 P. 93–101
Added: June 16, 2021
Fomin D., Математические вопросы криптографии 2020 Т. 11 № 3 С. 121–138
We generalize the method of construction of permutations based on the Butterfly structure for the case of arbitrary arithmetic space with even dimension over the field of two elements. An approach to the construction of permutations by means of nonbalanced (2m,m)-functions with high nonlinearity is suggested. ...
Added: November 25, 2020
Yashunsky A., Moscow University Mathematics Bulletin 2019 Vol. 74 No. 4 P. 135–140
Systems of Boolean functions inducing algebras of Bernoulli distributions whose universal set has a single limit point are considered. A criterion for an algebra generated by a given distributions set to have a single limit point is proved. ...
Added: September 9, 2020
Knyazeva H., Куркина Е. С., В кн.: Горизонты синергетики: структуры, хаос, режимы с обострениемВып. 89.: М.: ЛЕНАНД, 2019. С. 377–408.
The content of the model of evolution of complex systems developed by Sergey P. Kurdyumov is under consideration in the article. Some key ideas, which were put forward by him, constitute nowadays a foundation for development of a methodology for studying complex self-developing systems of different nature. The model is based on four concepts: the ...
Added: May 22, 2019
Ivanova I., Smorodinskaya N., Leydesdorff L., Quality and Quantity 2020 No. 54 P. 197–212
We propose the Modified Economic Complexity Index (MECI) as a possible refinement to
two relevant complexity measures: the Economic Complexity index (ECI) and the Fitness
and Complexity index (FCI). Both ECI and FCI are used for the evaluation of competitive
advantages and growth potentials of countries. ECI and FCI assume bipartite countrynetwork
data, whereas MECI provides an ecosystem-based design ...
Added: March 4, 2019
Knyazeva H., В кн.: Мир человека: неопределенность как вызов.: М.: ЛЕНАНД, 2019. Гл. 9 С. 111–124.
The article substantiates that uncertainties, instabilities, and fluctuations accompanying the development processes in the modern world not only create difficulties for us, but also form a basis for our individual and collective creativity. The future is open and not given to us in advance, and it is in the power of a man to make ...
Added: November 21, 2018
Blyakhman L. G., Gromov E., Malomed B. A. et al., Chaos, Solitons and Fractals 2018 No. 117 P. 264–268
The dynamics of two-component solitons with a small spatial displacement of the high-frequency (HF) component relative to the low-frequency (LF) one is investigated in the framework of the Zakharov-type system. In this system, the evolution of the HF field is governed by a linear Schrödinger equation with the potential generated by the LF field, while ...
Added: November 12, 2018
Ivanova E., Safonov S., М.: НИУ ВШЭ, 2018.
Added: January 26, 2018
Куркина Е. С., Knyazeva H., Философия науки и техники 2017 Т. 22 № 2 С. 120–135
Some non-trivial properties of network structures in social media, which are revealed on the basis of the methodology of network analysis, are considered in the article. It is shown, in particular, that nowadays the emphasis shifts from the study of social complexity to the study of social network structures. The evolutionary trend is the transition ...
Added: January 16, 2018
Evgeny Gromov, Malomed B., Chaos 2017 Vol. 27 No. 11 P. 113107-1–13107-13
New two-component soliton solutions of the coupled high-frequency (HF) - low-frequency (LF) system, based on Schrödinger - Korteweg - de Vries (KdV) system with the Zakharov's coupling, are obtained for arbitrary relative strengths of the nonlinearity and dispersion in the LF component. The complex HF field is governed by the linear Schrödinger equation with a ...
Added: October 24, 2017
Blyakhman L. G., Gromov E., Onosova I. V. et al., Physics Letters A 2017 Vol. 381 No. 17 P. 1490–1492
The dynamics of a two-component Davydov-Scott (DS) soliton with a small mismatch of the initial location or velocity of the high-frequency (HF) component was investigated within the framework of the Zakharov-type system of two coupled equations for the HF and low-frequency (LF) fields. In this system, the HF field is described by the linear Schrödinger ...
Added: February 3, 2017
Blyakhman L. G., Morozov V. P., Tyutin V. V., Труды НГТУ им. Р.Е. Алексеева 2016 № 3 (114) С. 9–15
Цель работы: Исследована динамика двухкомпонентных (векторных) солитонов Давыдова-Скотта(ДС) при пространственно-скоростном рассогласовании высокочастотных (ВЧ) и низкочастотных (НЧ) компонент. Рассмотрение проведено в рамках Захаровского типа системы двух связанных уравнений для ВЧ и НЧ поля. В этой системе ВЧ поле описывается линейным уравнением Шредингера с переменным во времени и пространстве потенциалом, вызванным НЧ компонентой. НЧ компонента в этой ...
Added: October 5, 2016
Knyazeva H., Куркина Е. С., В кн.: Инновационная сложность.: СПб.: Алетейя, 2016. Гл. 4 С. 185–217.
The evolutionary model elaborated by Sergei P. Kurdyumov is considered in the article. Some key ideas put forward by him constitute a basis for development of the methodology of sudy of complex selforganizing systems, called also synergetics. Four important theoretical notions form a fundament of this evolutionary model: connection between space and time, complexity and ...
Added: October 25, 2015
Knyazeva H., В кн.: Инновационная сложность.: СПб.: Алетейя, 2016. Гл. 2 С. 38–100.
In the article, the phenomenon of innovative complexity is considered from the methodological position based on the modern theory of complex adaptive systems and of conception of enactive cognition (enactivism) in cognitive science and in non-classical epistemology. From this standpoint, one can assern that properties of a complex system and of a medium into which ...
Added: October 25, 2015
O.N. Savina, E.M. Gromov, V.V. Tyutin, Geomagnetism and Aeronomy 2015 Vol. 55 No. 5 P. 658–662
The possibility of the existence of a solitary internal gravity wave at heights of the Earth’s thermosphere is considered. Analytical results were obtained in local approximation with weak nonisothermality of the atmosphere. For internal gravity waves, the Korteweg–de Vries equation was derived and studied with allowance for inhomogeneity, nonlinearity, and dissipation. The theoretical results were ...
Added: October 23, 2015