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Ро-метод Полларда для нахождения дискретного логарифма в случае его малого веса
Информационные технологии. 2022. Т. 28. № 1. С. 26–32.
Черепнев М. А., Gracheva S.
To protect communication systems from unauthorized access, data theft and falsification of transmitted messages, cryptographic methods are used. In particular, they underlie the protocols for the exchange of interbank information, as well as interactions within law enforcement and government structures.
Cryptographic methods are based on mathematical transformations of digitized texts. In this case, the discrete logarithm function is of great importance for cryptography.
The article presents a modification of Pollard's ro- method for finding a discrete logarithm in the case when it is expressed by a binary vector of relatively small weight.
The proposed algorithm can be effectively applied to a fairly large number of computing nodes. The paper considers the case when some close approximation of the discrete logarithm is known. To form the algorithm, we used estimates for binomial coefficients and the Berry–Esseen theorem for the Bernoulli scheme.
Denis Seliutskii, Russian Journal of Mathematical Physics 2025 Vol. 32 No. 2 P. 399–407
In this paper, we find an upper bound for the first Steklov eigenvalue for a surface of revolution with boundary consisting of two spheres of different radii. Moreover, we prove that, in some cases, this boundary is sharp. ...
Added: May 19, 2026
Shipilov F., Barnyakov A., Ivanov A. et al., / Series Physics "arxiv.org". 2026.
A fast simulation of the detector response is a vital task in high-energy physics (HEP). Traditional Monte-Carlo methods form the backbone of modern particle physics simulation software but are computationally expensive. We present a machine-learning-based approach to fast simulation of the Focusing Aerogel Ring Imaging Cherenkov (FARICH) detector response. Given a particle track and momentum, ...
Added: May 19, 2026
Association for Computational Linguistics, 2026.
Added: May 19, 2026
Bezzubov S., Malikov D., Krasnov L. et al., Scientific data 2026 Vol. 13 Article 727
Solubility is a crucial property of organic compounds, impacting their potential applications in synthetic chemistry, materials science and drug design. Moreover, in technological processes mixtures of solvents are often utilized, making the solubility assessment more complicated. Predicting solubility values in mixtures of solvents from a molecular structure can help to address this issue, although a ...
Added: May 19, 2026
Pikalov V., Meshcheryakov V., Kondratev S. et al., Technologies 2026 Vol. 14 No. 1 P. 1–27
This paper presents Aerokinesis, an IoT-based software–hardware system for intuitive gesture-driven control of quadcopter unmanned aerial vehicles (UAVs), developed within the Robot Operating System 2 (ROS2) framework. The proposed system addresses the challenge of providing an accessible human–drone interaction interface for operators in scenarios where traditional remote controllers are impractical or unavailable. The architecture comprises ...
Added: May 19, 2026
Кондратьев С., Никитин Г. Э., Дырченкова Ю. А. et al., Technologies 2026 Vol. 14 No. 1 P. 1–27
This paper presents Aerokinesis, an IoT-based software–hardware system for intuitive gesture-driven control of quadcopter unmanned aerial vehicles (UAVs), developed within the Robot Operating System 2 (ROS2) framework. The proposed system addresses the challenge of providing an accessible human–drone interaction interface for operators in scenarios where traditional remote controllers are impractical or unavailable. The architecture comprises ...
Added: May 19, 2026
Жакупов О. Б., European Journal of Mathematics 2025 Vol. 11 Article 84
We provide examples of smooth three-dimensional Fano complete intersections of degree 2, 4, 6, and 8 that have absolute coregularity 0. Considering the main theorem of Avilov, Loginov, and Przyjalkowski (CNTP 18:506–577, 2024) on the remaining 101 families of smooth Fano threefolds, our result implies that each family of smooth Fano threefolds has an element of absolute ...
Added: May 18, 2026
Springer, 2025.
This book constitutes the refereed proceedings of the 19th International Conference on Parallel Computational Technologies, PCT 2025, held in Moscow, Russia, during April 8–10, 2025.
The 31 full papers included in this volume were carefully reviewed and selected from 122 submissions. These papers were organized under the following topical sections: High Performance Architectures, Tools and Technologies; ...
Added: May 18, 2026
Ronglin Z., Wei L., Jiahong C. et al., Journal of Signal Processing Systems 2026 Vol. 98 P. 1–15
To address the need for lightweight and low-latency protection in massive resource-constrained 5G Internet of Things (IoT) systems, this paper proposes Key-Controlled Modulation Hopping and Constellation Rotation (KMHCR). KMHCR is designed as a physical-layer confidentiality-enhancement mechanism that avoids bit-wise full-payload encryption in the protection pipeline. It uses a shared key derived from channel-reciprocity secret key ...
Added: May 16, 2026
Suvorov N. M., Proceedings of the Institute for System Programming of the RAS 2026 Vol. 38 No. 3(2) P. 49–66
Data Petri Nets (DPNs) extend classical Petri nets to model processes where data directly influences control-flow, enabling a comprehensive view of system behavior and possibility to detect failure points that could otherwise be hidden. Soundness is a correctness criterion that captures such failure points as deadlocks and livelocks as well as model boundedness and absence ...
Added: May 16, 2026
Lerman L. M., Turaev D. V., Regular and Chaotic Dynamics 2026 Vol. 31 No. 3 P. 349–369
We show that bifurcations of four-dimensional symplectic diffeomorphisms with a quadratic homoclinic tangency to a saddle periodic orbit with real multipliers produce 2-elliptic periodic orbits if the tangency is not partially hyperbolic. We show that a normal form for the rescaled first-return maps near such tangency is given by a four-dimensional symplectic H´enonlike map and study bifurcations of the ...
Added: May 15, 2026
Aleskerov F. T., Yakuba V. I., Khutorskaya O. et al., Springer, 2026.
The book contains new models of bibliometric analysis based on centrality measures in network analysis, pattern analysis and stability analysis. A distinctive feature of these centrality measures is that they account for the parameters of vertices and group influence of vertices to a vertex. This reveals specific groups of publications, authors, terms, journals and affiliations ...
Added: May 15, 2026
Kuptsov P., Panyushev A., Stankevich N., Chaos 2026 Vol. 36 No. 5 Article 053138
We develop a machine-learning approach to reproduce the behavior of two versions of the van der Pol oscillator exhibiting a subcritical Andronov–Hopf bifurcation, with or without a codimension-2 Bautin point. We construct a neural-network model that functions as a recur rent map and train it on short segments of oscillator trajectories. The results show that, ...
Added: May 15, 2026
Dorovskiy A., / Series arXiv "math". 2026.
In this paper the structural stability of generic families of vector fields of the PC-HC class on the two-dimensional sphere is proved. A classification of these families up to moderate equivalence in neighborhoods of their large bifurcation supports is presented, based on such invariants as the configuration and the characteristic set. The realization lemma is proved. ...
Added: May 14, 2026
Lebedev V., Journal of Mathematical Analysis and Applications 2026 Vol. 563 No. 2 Article 130787
It is known that for every continuous real-valued
function $f$ on the circle $\mathbb T=\mathbb R/2\pi\mathbb Z$ there exists a
change of variable, i.e., a self-homeomorphism $h$ of $\mathbb T$, such that
the superposition $f\circ h$ is in the Sobolev space $W_2^{1/2}(\mathbb T)$.
We obtain new results on simultaneous improvement of functions by a single
change of variable in relation ...
Added: May 14, 2026
Mikhail Y. Romashikhin, Aleksandr Y. Romanov, IEEE Access 2026 Vol. 14 P. 7921–7931
This paper presents a hardware-software multi-FPGA complex designed for hardware prototyping of networks-on-chip (NoCs). The rationale for the use of multiple FPGAs for NoC prototyping is given. The architecture of the complex and its components–the software part generating top-level files and configuration files describing the NoC for several FPGAs, hardware part consisting of interfacing switches ...
Added: January 22, 2026
Благовещенская Е. А., Павлова Н. Г., Гарбарук В. В. et al., Международная конференция по мягким вычислениям и измерениям 2018 Т. 1 С. 684–686
Abelian torsion-free groups, being one of the primary algebraic structures, admit an algorithmic approach to the study of their various direct decompositions. The graphs used are of the line-parallel form and they are applicable to parallelization problems. ...
Added: January 13, 2026
Издательский центр ЮУрГУ, 2025.
Данный сборник содержит статьи, включенные в программу всероссийской научной конференции с международным участием «Параллельные вычислительные технологии 2025». Конференция проходила 8–10 апреля 2025 года в национальном исследовательском университете «Высшая школа экономики» (г. Москва). Подробную информацию о конференции можно найти в сети Интернет по адресу https://павт.рф. Отпечатано с авторских оригиналов. ...
Added: June 24, 2025
Воронова К. Д., Plaksin M. A., В кн.: Актуальные проблемы математики, механики и информатики 2022: Сборник статей по материалам студенческой конференции (г. Пермь, ПГНИУ, 25 мая – 10 июня 2022 г.).: Пермь: ПГНИУ, 2022. С. 25–29.
The rapid development of parallel computing technologies makes it urgent to include propaedeutics of parallel computing in the school computer science course. Since this topic is not yet included in the school curriculum, it can be done through extracurricular activities, in particular, through Internet contests. Since 2013, parallel computing tasks have become a compulsory part ...
Added: February 29, 2024
Kozyrev V., Kostenetskiy P., Raimova A. et al., В кн.: Суперкомпьютерные дни в России : Труды международной конференции. 25–26 сентября 2023 г., Москва.: М.: МАКС Пресс, 2023. С. 186–194.
Оптимизация использования вычислительных ресурсов на высокопроизводительных кластерах является важной задачей в условиях высокой загрузки. Одним из способов такой оптимизации является применение современных технологий. В то же время, на разных серверных архитектурах поведение технологий может отличаться. В частности, влияние оказывает то, как именно осуществляется взаимодействие компонентов аппаратной архитектуры (например, между GPU и InfiniBand адаптером). В данной ...
Added: January 23, 2024
М.: МАКС Пресс, 2023.
The book contains full papers in Russian, short papers and poster abstracts included in the agenda of the International Conference “Russian Supercomputing Days”. ...
Added: January 23, 2024
ИДСТУ СО РАН, 2023.
Материалы научного сборника включают избранные статьи и тезисы V Международного семинара по информационным, вычислительным и управляющим системам для распределенные сред (ICCS-DЕ 2023), проведенного Институтом динамики систем и теории управления имени В.М. Матросова Сибирского отделения Российской академии наук (Иркутск, Россия) совместно с Центром научных исследований и высшего образования (CICESE Research Center, Энсенада, Мексика) 3-7 июля, 2023 ...
Added: September 7, 2023
Воронова К. Д., Plaksin M. A., В кн.: Дистанционное обучение – образовательная среда XXI века : материалы XII Междунар. науч.-метод. конф. (Республика Беларусь, Минск, 26 мая 2022 года).: Мн.: БГУИР, 2022. С. 163–163.
It is proposed to introduce schoolchildren and students to the basics of parallel computing using the distance competition "TRIZformashka". For the competition "TRIZformashka-2022" the computer game "Builder" was specially developed for teaching how to build parallel algorithms. A description of the game and a download link are given. ...
Added: October 31, 2022
Kozyrev V., Kostenetskiy P., Chulkevich R. et al., В кн.: Суперкомпьютерные дни в России : Труды международной конференции. 26–27 сентября 2022 г., Москва.: МАКС Пресс, 2022.
Суперкомпьютер "cHARISMa" [1] активно используется 64 подразделениями НИУ ВШЭ для проведения научных исследований и учебной работы. Суперкомпьютер представляет собой высокопроизводительный вычислительный кластер с 46 вычислительными узлами, и параллельной СХД. Шесть вычислительных узлов кластера оснащены восьмью GPU NVIDIA A100 80 ГБ SXM в каждом, 29 узлов с большим объемом оперативной памяти 768-1536 ГБ оснащены четырьмя графическими ...
Added: October 27, 2022