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О возможности восстановления отрезков сообщения по информации о значениях исходных символов
Доклады Российской академии наук. Математика, информатика, процессы управления (ранее - Доклады Академии Наук. Математика). 2023. Т. 514. № 2. С. 138–149.
Flamarion M. V., Pelinovsky E., Nonlinear Dynamics 2026 Vol. 114 Article 784
In this article, we investigate wave packet and solitary wave dynamics in the Whitham–Ostrovsky (WO) equation. By means of a multiple-scales expansion, we formally derive a nonlinear Schrödinger (NLS) equation governing the envelope evolution.The corresponding modulational stability diagram is then obtained using the Lighthill criterion. We show that sufficiently large values of the low-frequency dispersive term render ...
Added: June 5, 2026
Medvedev T. V., Pochinka O., Chaos 2026 Vol. 36 No. 6 Article 063107
We consider 3-diffeomorphisms with source–sink dynamics where Smale solenoids play the role of the source and the sink (NSSS-diffeomorphisms). It is known that such diffeomorphisms exist only on lens spaces. On the 3-sphere, every NSSS-diffeomorphism is associated with an exchangeable braid. An exchangeable braid with the strand number n was constructed for each n 3 in such a way ...
Added: June 4, 2026
Seul: PMLR, 2026.
Added: June 4, 2026
Kazakov A., Shilov O. M., Mints D. et al., Chaos 2026 Vol. 36 No. 6 Article 063112
We study hyperbolic chaotic dynamics for maps of a two-dimensional torus. We introduce a two-parameter family of diffeomorphisms which, as we show, demonstrates all types of hyperbolic chaotic dynamics that can appear in the two-dimensional case. In addition, we describe all the bifurcations responsible for the transitions between these chaotic regimes. ...
Added: June 4, 2026
Nozdrinova E., Pochinka O., Shmukler V., Математический сборник 2026 Т. 217 № 6 С. 71–89
Гомеоморфизмы топологических пространств называются эквивалентными по надстройке, если надстройки над ними топологически эквивалентны. В частности, топологически сопряженные гомеоморфизмы эквивалентны по надстройке. Известно, что для гомологически неприводимых гомеоморфизмов их топологическая сопряженность является необходимым и достаточным условием их эквивалентности по надстройке. Тогда как инварианты топологической сопряженности гомологически приводимых гомеоморфизмов во многих случаях являются избыточными для эквивалентности по ...
Added: June 3, 2026
Gnetov F., Konakov V., Успехи математических наук 2026 Т. 81 № 3 (489) С. 161–162
Пусть M обозначает симметрическое пространство некомпактного типа ранга 1. Опираясь на фундаментальную работу [1], в [2] было показано, что плотность соответствующим образом нормированной суммы независимых Hn-значных случайных величин, определенная через сложение Мёбиуса в модели шара Пуанкаре, сходится к фундаментальному решению соответствующего уравнения теплопроводности. Пределом являлся нормальный закон на Hn, соответствующий ядру теплопроводности, определяемому оператором Лапласа–Бельтрами. ...
Added: June 2, 2026
Silakov D., Системный администратор 2026 № 3 С. 28–33
В статье про платформы для разработки открытого ПО в Китае мы рассказали про GitCode – молодой проект, позиционируемый как площадка для разработчиков со всего мира. Сейчас на GitCode размещаются проекты, созданные в КНР, но некоторые из них уже известны и на международной арене. Помочь открытым проектам в становлении, развитии и расширению аудитории призван фонд OpenAtom ...
Added: June 2, 2026
Slivnitsin P., Mylnikov L., Engineering Applications of Artificial Intelligence 2026 Vol. 179 Article 115185
The paper describes a applied artificial intelligence task of recognition-by-components method of real objects based on the recognition of a limited set of primitives or components. The recognition-by-components makes it possible to determine the components, that compose an object, and increase the number of recognizable objects without degrading the recognition quality. Training is performed on ...
Added: May 29, 2026
Gorbounov Vassily, Kazakov A., Data Analytics and Topology 2025 Vol. 1 No. 1 P. 33–45
A classic problem in data analysis is studying the systems of subsets defined by either a similarity or a dissimilarity function on X which is either observed directly or derived from a data set.
For an electrical network there are two functions on the set of the nodes defined by the resistance matrix and the response ...
Added: May 28, 2026
Mokienko O., Zisman M. A., Bobrov P. et al., American Journal of Physical Medicine and Rehabilitation 2026 Vol. 105 No. 6 P. 555–563
Brain-computer interfaces (BCIs) represent a promising technology for restoring lower limb motor functions and gait after stroke. The application of BCIs in this field is supported by a limited number of studies. The objective of the review was to systematically and critically evaluate the current evidence on the use of BCIs for lower limb function ...
Added: May 28, 2026
Kazimirov D., Rybakova E., Vitalii V. Gulevskii et al., IEEE Access 2025 Vol. 13 P. 20101–20132
The Hough (discrete Radon) transform (HT/DRT) is a digital image processing tool that has become indispensable in many application areas, ranging from general image processing to neural networks and X-ray computed tomography. The utilization of the HT in applied problems demands its computational efficiency and increased accuracy. The de facto standard algorithm for the fast ...
Added: May 28, 2026
Kazimirov D., Vitalii Gulevskii, Kroshnin A. et al., Mathematics 2026 Article 1136
The Hough transform (HT) is widely used in computer vision, tomography, and neural networks. Numerous algorithms for HT computation have been proposed, making their systematic comparison essential. However, existing comparative methodologies are either non-universal and limited to certain HT formulations, or task-oriented, relying on application-specific criteria that do not fully capture algorithmic properties. This paper ...
Added: May 28, 2026
Choi Y. R., Мальковский С. И., Stegailov V., В кн.: "Информационные технологии и высокопроизводительные вычисления": Материалы VIII Международной научно-практической конференции, Хабаровск, 15-17 сентября 2025 г.: Хабаровск: Хабаровский Федеральный исследовательский центр, 2025. Гл. 81 С. 317–320.
Работа посвящена разработке и экспериментальному исследованию параллельных алгоритмов матричного умножения и матричной экспоненты с асинхронным обменом данными, использующих принцип наложения вычислений и коммуникаций для максимизации производительности, для систем с несколькими графическими ускорителями и неоднородной топологией. Также представлены теоретические модели оптимизации размера блоков для повышения эффективности расчетов. Алгоритм матричной экспоненты реализован с поддержкой комплексных матриц через ...
Added: October 15, 2025
Якушенокс К. П., Ivanov F., / Series Computer Science "arxiv.org". 2023. No. 2312.15912.
Tavernier and Kabatiansky proposed new variants of the McEliece cryptosystem. In this letter, it is shown that cryptosystem based on correction of errors erasures is equal to the McEliece cryptosystem with worse parametrs public key. It will also add an organic extension of the authors’ idea, although one that has its flaws... ...
Added: September 4, 2024
Chukhno A., Курочкин А. В., Фомичев В. М., Прикладная дискретная математика. Приложение 2022 Т. 15 С. 73–77
In this paper, new results of the analysis of the KB 256-3 block cipher algorithm are outlined. We set up a difference relation with probability 1 for the six-round algorithm under study and propose a key recovery method using this difference relation for the nine-round KB 256-3 algorithm. We construct an impossible differential for the ...
Added: May 6, 2024
Idrisova V. A., Tokareva N. N., Gorodilova A. A. et al., Prikladnaya Diskretnaya Matematika 2023 No. 62 P. 29–54
Every year the International Olympiad in Cryptography Non-Stop University CRYPTO (NSUCRYPTO) offers mathematical problems for university and school students and, moreover, for professionals in the area of cryptography and computer science. The main goal of NSUCRYPTO is to draw attention of students and young researchers to modern cryptography and raise awareness about open problems in ...
Added: March 19, 2024
Gorodilova A. A., Tokareva N. N., Agievich S. V. et al., Siberian Electronic Mathematical Reports 2022 Vol. 19 No. 1 P. A.9–A.37
Non-Stop University CRYPTO is the International Olympiad in Cryptography that was held for the eight time in 2021. Hundreds of university and school students, professionals from 33 countries worked on mathematical problems in cryptography during a week. The aim of the Olympiad is to attract attention to curious and even open scientific problems of modern ...
Added: March 19, 2024
Malashina A., Doklady Mathematics 2024 Vol. 108 No. 2 P. S282–S292
To provide secure information exchange in communication channels, the correctness of the operation of the relevant information protection systems must be preliminary studied. The mathematical algorithms used in such systems are correct and can theoretically provide the correct statistical properties of the output stream compared to the input. However, at the stage of implementation (programming) ...
Added: November 11, 2023
Vereshchagin N., Theoretical Computer Science 2023 Vol. 940 P. 108–122
We consider the network consisting of three nodes 1, 2, 3 connected by two open channels
1 → 2 and 1 → 3. The information present in the node 1 consists of four strings x , y , z , w.
The nodes 2, 3 know x , w and need to know y , z, respectively. ...
Added: December 19, 2022
Dmitrik N., М.: Инфотропик Медиа, 2022.
This is a textbook on legal informatics, that is, the theoretical part of the course "Information technologies for lawyers", which the author reads at the Faculty of Law of Lomonosov Moscow State University. Legal informatics consists of three parts: information theory, the theoretical foundations of information technology and the foundations of safe behavior in cyberspace. ...
Added: April 1, 2022
Grishchenko A., Понарядов В. В., Урало-алтайские исследования 2021 № 4 (43) С. 7–34
The paper for the first time publishes monuments of the Old Permian language written with Abur, or the script of St. Stephen of Perm; these sources are previously unknown or have not been introduced into academic circulation. They are published here as facsimiles, with transliteration, transcription, and Russian translation. Perhaps the oldest of these inscriptions ...
Added: January 18, 2022
Perov A., Научный вестник Новосибирского государственного технического университета 2019 Т. 76 № 3 С. 87–96
Modern iterative block ciphers are one of the most popular methods for providing a secure information exchange in internet networks. A widespread use of this technology and the development of computing power give rise to a whole list of threats to cryptanalysis of ciphers. Ensuring cryptographic security is in this case one of the key ...
Added: November 22, 2021
Perov A., Conference: 2019 International Multi-Conference on Engineering, Computer and Information Sciences (SIBIRCON) 2019 P. 851–854
This article presents the application of machine learning technologies to cryptography tasks, in particular, the statistical analysis of block ciphers. The author uses the Inception V3 neural network model, which is traditionally used for images recognition. A technology for adapting ciphertexts to the developed technique is proposed. The results of experiments on encrypted sequences are ...
Added: November 20, 2021
Babash A. V., , in: Proceedings of the 10th International Scientific and Practical Conference named after A. I. Kitov "Information Technologies and Mathematical Methods in Economics and Management (IT&MM-2020)"/, Moscow, Russia, October 15-16, 2020Vol. 2830.: CEUR Workshop Proceedings, 2021. P. 337–359.
A trapdoor cipher is a cipher whose algorithm contains some hidden structure (a trapdoor) providing the existence of a subliminal information channel. In cryptographic practice, there could be situations when a constructed cipher may contain some critical defect (a trapdoor) whose identification can significantly weaken the cryptographic strength of this cipher. In this paper, we ...
Added: November 2, 2021