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Об одном представлении нелинейного преобразования алгоритма «Кузнечик» с помощью логических функций
Математические вопросы криптографии. 2021. Vol. 12. No. 2. P. 21–38.
Авраамова О. Д., Fomin D., Серов В. А., Смирнов А. В., Шоков В. Н.
In this paper we consider a bit-sliced implementation of the non-linear transformation shared by GOST R 34.12-2015 “Kuznyechik” block cipher and GOST R 34.11-2012 “Streebog” hash function. We combine analytical and computer methods to get a 226 Boolean operations representation.
Priority areas:
mathematics
Language:
English
Martínez-Díaz I., Legón-Pérez C. M., Rojas O. et al., Journal of Information Security and Applications 2022 Vol. 69 Article 103272
Added: September 18, 2026
Martínez-Díaz I., Freyre-Echevarría A., Rojas O. et al., IEEE Access 2022 Vol. 10 P. 11886–11891
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Legón-Pérez C. M., Sánchez-Muiña R., Miyares-Moreno D. et al., Applied Sciences (Switzerland) 2021 Vol. 11 No. 11 Article 4815
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Legón-Pérez C. M., Menéndez-Verdecía J. A., Martínez-Díaz I. et al., Information (Switzerland) 2021 Vol. 12 No. 12 Article 509
Added: September 18, 2026
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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
Ероховец Николай Юрьевич, Математический сборник 2026 Т. 217 № 5 С. 45–89
Toric topology assigns to each simple convex n-polytope P with m facets an n-dimensional real moment-angle manifold RZP with a canonical action of Zm2=(Z/2Z)m. We consider (not necessarily free) actions of subgroups H⊂Zm2 on RZP. The orbit space N(P,H)=RZP/H carries an action of Zm2/H. For general n we introduce the notion of Hamiltonian C(n,k)-subcomplex in the boundary of an ...
Added: September 17, 2026
Kuninets A., Malygina E., Cryptography and Communications 2026
In this paper, we determine explicit bases for Riemann–Roch spaces associated with various families of elliptic codes. We establish the feasibility and provide exact algorithms for constructing bases of Riemann–Roch spaces corresponding to arbitrary divisors on elliptic curves, including the non-effective case. These results are subsequently applied to derive bases for quasi-cyclic elliptic codes and ...
Added: September 17, 2026
Кузнецов М. Е., Полякова М., Лукьянович В. et al., ФАНУ "Востокгосплан", 2026.
Обзор международных практик развития робототехники и искусственного интеллекта и оценка возможностей их применения в условиях России, в первую очередь для Дальнего Востока и Арктической зоны РФ ...
Added: September 16, 2026
Kazakov A., Koryakin V., Safonov K. et al., Journal of Differential Equations 2026 Vol. 480 Article 114626
We study a family of one-dimensional maps that models the dynamics of a system of differential equations with a Lorenz attractor near a bifurcation curve where the system has a pair of homoclinic loops with zero separatrix value. Of particular interest is the region of the parameter plane where the map has a robust chaotic ...
Added: September 16, 2026
Letellier C., Stankevich N., Houri S. et al., Chaos 2026 Vol. 36 No. 9 Article 093128
Toroidal chaos designates a chaotic solution that is structured in the neighborhood of a torus. For being chaotic, such a torus needs to be discontinuously fractalized to present a Cantor set, ensuring the great sensitivity to initial conditions required for chaos. A fractal is related to self-similarity and a non-integer dimension. In fact, although clearly ...
Added: September 16, 2026
Poddiakov A., / Series Social Science Research Network "Social Science Research Network". 2026. No. 7437658.
Clarity of knowledge and reasoning is necessary in many cases. Yet vagueness in scientific thinking related to surprise, curiosity, "ability to engage with not-knowing" (de Freitas) and abductive reasoning is also a crucially important source of scientific creativity which supplements combinatorial logic when dealing with the already known. Starting from studies by C. S. Peirce ...
Added: September 15, 2026
Melman A., Evsyutin O., Computer Science Review 2027 Vol. 63 (A) Article 101066
One of the effective means of protecting digital images is invisible watermarking. Different scenarios have different requirements for watermark resistance to post-processing. Robust watermarking schemes are resistant to a wide range of modifications. Fragile watermarking schemes are designed for integrity control and are destroyed by even minor modifications of images. Semi-fragile watermarking schemes combine features ...
Added: September 15, 2026
Воронова К. Д., Lyadova L. N., Proceedings of the Institute for System Programming of the RAS 2026 Vol. 38 No. 4 P. 153–170
Title: Automated Event Logs Generation Based on Unstructured Internet Sources for Process Analysis Tasks
Abstract. This paper presents an approach to automated structuring event-related information extracted from unstructured textual Internet sources for process mining tasks. In many practical cases, information on events associated with various processes is not presented in the form of ready-made event logs, but is ...
Added: September 14, 2026
Springer, 2026.
This book gathers selected papers from the KES-IDT 2025 conference, held in Solin, Croatia, on June 25–27, 2025. The book presents and discusses the latest research results and generates new ideas in the field of intelligent decision-making. The range of topics discussed is classification, prediction, data analysis, big data, data science, decision support, knowledge engineering, ...
Added: September 13, 2026
Lebedev O. B., Митяков Е. С., Саенко И. Б. et al., Информация и космос 2026 № 1 С. 53–58
The article presents a methodology for the integrated assessment of cyberattacks on industrial control systems (ICS) using a combination of the Ampire cyber range and a digital twin. The approach is based on calculating five criteria—severity, attacker capabilities, vulnerability, complexity, and defense effectiveness—that form an integrated threat index. Testing across three scenarios confirmed the index's ...
Added: September 13, 2026
Lebedev O. B., Лебедев Б. К., Бесхмельнов М. И., Известия ЮФУ. Технические науки 2024 № 2(242) С. 177–190
This article examines algorithms for generating motion trajectories for unmanned aerial vehicles (UAVs) during search-and-rescue and emergency response operations. It describes methods and algorithms for controlling the movement of a UAV group in various formations—such as line, rank, column, and during turns. Control is achieved through alternative collective adaptation algorithms based on principles of collective ...
Added: September 13, 2026
Lebedev O. B., Котов Д. В., Известия ЮФУ. Технические науки 2024 № 1(237) С. 155–167
The primary approach to solving motion planning and control problems involves the use of intelligent technologies. These technologies are applied to define and adjust control objectives and action programs, as well as to formulate control algorithms under conditions of uncertainty—stemming from various factors—across actuator elements and the motion control, planning, and behavioral subsystems. This paper ...
Added: September 13, 2026
Гибридный алгоритм оптимизации на основе объединения моделей роевого интеллекта: роя хромосом и пчел
Lebedev O. B., Лебедев Б. К., Ганжур М. А., Информатизация и связь 2023 № 2 С. 80–84
A hybrid algorithm has been developed to solve the VLSI component placement problem by combining procedures based on bee colony behavior and a chromosome swarm. The optimization criterion is based on estimates of the number of nets crossing specific lines within the routing area. A modified chromosome swarm paradigm is described; unlike the canonical method, ...
Added: September 13, 2026
Lebedev O. B., Лебедев Б. К., Бесхмельнов М. И., Вестник Тверского государственного технического университета 2025 № 3(27) С. 103–119
The article presents a detailed analysis of a hybrid path-planning algorithm designed for navigation in a two-dimensional space, accounting for partial uncertainty regarding terrain information. The algorithm operates in stages and is divided into two levels. At the first level, the object's local visibility zone is established, and the corresponding region on the map is ...
Added: September 12, 2026
Lebedev O. B., Лебедев Б. К., Бесхмельнов М. И., Известия ЮФУ. Технические науки 2025 Т. 2(244) С. 68–82
This paper describes a hybrid situational trajectory planning algorithm for 2D space operating under conditions of partial uncertainty. Based on the integration of wave-propagation and ant colony optimization algorithms, it enables the real-time generation of minimum-length trajectories while simultaneously optimizing other path quality criteria. The processes of generating a trajectory segment and moving the object ...
Added: September 12, 2026
Lebedev O. B., Beskhielnov M. I., OPTIMIZATION BY THE SWARM OF TRANSFORMING CHROMOSOMES METHOD 2024 Vol. 34 No. 3 P. 652–658
A new strategy for finding effective solutions based on modification and hybridization of the canonical representations of the particle swarm algorithm is proposed. A paradigm of a swarm of transforming chromosomes is described, making it possible to represent solutions in the affine space of chromosomes with integer parameter values. The mechanisms of chromosome transformation in ...
Added: September 12, 2026
Lebedev O. B., Левченко Д. Д., Черкасов Р. И., Инженерный вестник Дона 2026 № 2(134) Статья 7
This article analyzes the impact of artificial intelligence (AI) and machine learning technologies on the development and transformation of cyberthreats and the creation of highly effective cyberdefense systems. Key trends in AI evolution are discussed, including data-, model-, application-, and human-centric approaches, and their role in shaping both defensive and offensive capabilities. It is shown ...
Added: September 12, 2026
Смирнов С. В., Миллионщиков Д. В., Уфимский математический журнал 2021 Т. 13 № 2 С. 44–73
В данной работе изучаются характеристические алгебры для систем экспоненциального типа, соответствующих вырожденным матрицам Картана. Эти системы обобщают хорошо известные в теории интегрируемых систем гиперболические уравнения синус-Гордон и Цицейки. Для таких систем, соответствующих матрицам Картана ранга 2, характеристические алгебры описаны явно в терминах образующих и соотношений, и доказано, что они имеют линейный рост. Исследуется связь между ...
Added: September 11, 2026