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<article article-type="research-article" dtd-version="1.3" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xml:lang="ru"><front><journal-meta><journal-id journal-id-type="publisher-id">izvestswsu</journal-id><journal-title-group><journal-title xml:lang="ru">Известия Юго-Западного государственного университета</journal-title><trans-title-group xml:lang="en"><trans-title>Proceedings of the Southwest State University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2223-1560</issn><issn pub-type="epub">2686-6757</issn><publisher><publisher-name>ЮЗГУ</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.21869/2223-1560-2021-25-4-52-69</article-id><article-id custom-type="elpub" pub-id-type="custom">izvestswsu-937</article-id><article-categories><subj-group subj-group-type="heading"><subject>Research Article</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="ru"><subject>Информатика, вычислительная техника и управление</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>Computer science, computer engineering and IT managment</subject></subj-group></article-categories><title-group><article-title>Разработка генератора псевдослучайных чисел на основе кубических радикалов</article-title><trans-title-group xml:lang="en"><trans-title>Development of a Pseudorandom Number Generator Based on Cubic Radicals</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Таныгин</surname><given-names>М. О.</given-names></name><name name-style="western" xml:lang="en"><surname>Tanygin</surname><given-names>M. O.</given-names></name></name-alternatives><bio xml:lang="ru"><p>  Таныгин Максим Олегович, кандидат технических наук, доцент, заведующий кафедрой «Информационная безопасность»</p><p>ул. 50 лет Октября, д. 94, г. Курск 305040 </p></bio><bio xml:lang="en"><p>Maxim О. Tanygin, Cand. of Sci. (Engineering), Associate Professor Faculty of Fundamental and Applied Computer Science </p><p> 50 Let Oktyabrya str. 94, Kursk 305040 </p></bio><email xlink:type="simple">tanygin@yandex.ru</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Крыжевич</surname><given-names>Л. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Kryzhevich</surname><given-names>L. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p>  Крыжевич Леонид Святославович, кандидат технических наук, и.о. заведующего кафедрой «Информационная безопасность» </p><p>ул. Радищева, д. 33, г. Курск 305000 </p></bio><bio xml:lang="en"><p> Leonid S. Kryzhevich, Cand. of Sci. (Engineering), Head of InformationSecurity Department </p><p>33, Radishcheva str., Kursk 305000 </p></bio><email xlink:type="simple">Leonid@programist.ru</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Зыков</surname><given-names>П. С.</given-names></name><name name-style="western" xml:lang="en"><surname>Zykov</surname><given-names>P. S.</given-names></name></name-alternatives><bio xml:lang="ru"><p> Зыков Петр Сергеевич, кандидат физико-математических наук, доцент кафедры «Информационная безопасность»</p><p> ул. Радищева, д. 33, г. Курск 305000 </p></bio><bio xml:lang="en"><p> Peter S. Zykov, Cand. of Sci. (Physics and Mathematics), Associate Professor of Information Security Department </p><p>33, Radishcheva str., Kursk 305000 </p></bio><email xlink:type="simple">petya39b@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Юго-Западный государственный университет</institution></aff><aff xml:lang="en"><institution>Southwest State University</institution></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru"><institution>Курский государственный университет</institution></aff><aff xml:lang="en"><institution>Kursk State University</institution></aff></aff-alternatives><pub-date pub-type="collection"><year>2021</year></pub-date><pub-date pub-type="epub"><day>06</day><month>04</month><year>2022</year></pub-date><volume>25</volume><issue>4</issue><fpage>52</fpage><lpage>69</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Таныгин М.О., Крыжевич Л.С., Зыков П.С., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Таныгин М.О., Крыжевич Л.С., Зыков П.С.</copyright-holder><copyright-holder xml:lang="en">Tanygin M.O., Kryzhevich L.S., Zykov P.S.</copyright-holder><license xml:lang="ru" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>Данная работа распространяется под лицензией Creative Commons Attribution 4.0.</license-p></license><license xml:lang="en" license-type="creative-commons-attribution" xlink:href="https://creativecommons.org/licenses/by/4.0/" xlink:type="simple"><license-p>This work is licensed under a Creative Commons Attribution 4.0 License.</license-p></license></permissions><self-uri xlink:href="https://izvestswsu.elpub.ru/jour/article/view/937">https://izvestswsu.elpub.ru/jour/article/view/937</self-uri><abstract><sec><title>Цель исследования</title><p>Цель исследования. Главной опасностью при передаче конфиденциальных данных является их утечка. Организациями применяются различные меры защиты конфиденциальных данных, в которые входят и принятие нормативных документов для регламентации действий сотрудников, и применение технических средств защиты помещений, и установка программных продуктов. Ассиметричные методы обладают высоким уровнем стойкости, но достаточно вычислительно трудоемки. А различные подходы с использованием симметричных криптосистем сталкиваются с проблемами генерации и передачи ключа абонентам. Так возникает противоречие, связанное с криптографическим преобразованием конфиденциальных данных с небольшой вычислительной стоимостью и высоким уровнем защиты. В связи с этим, цель данного исследования заключается в снижении рисков безопасности конфиденциальной информации в организации с помощью повышения эффективности защиты каналов связи от утечки информации криптографическими методами.</p></sec><sec><title>Методы</title><p>Методы. В предложенном методе предлагается при реализации ассиметричного алгоритма шифрования на блоки исходного сообщения накладывать цепочку ключей, полученных путем генерации псевдослучайной последовательности на базе кубических радикалов. Этот подход гарантирует отсутствие периодичности чисел в блоках и неограниченную длину псевдослучайной последовательности.</p></sec><sec><title>Результаты</title><p>Результаты. Полученные в ходе имитационного моделирования результаты показали, что данные цепочки чисел имеют равномерный характер распределения, могут делиться на блоки произвольной длины и с математической точки зрения не имеют периодичности.</p></sec><sec><title>Заключение</title><p>Заключение. В работе показано, что применение рекурсивного алгоритма к генерации ключей позволяет снизить объем вычислительных затрат на 20 %, не теряя в уровне стойкости при одинаковых ключах. Приводится сравнительная таблица, демонстрирующая меньшие вычислительные затраты при одинаковой длине ключа по сравнению с другими популярными алгоритмами.</p></sec></abstract><trans-abstract xml:lang="en"><sec><title>Purpose of research</title><p>Purpose of research. The main danger in the transmission of confidential data is their leakage. Organizations take various measures to protect confidential data, which includes the adoption of regulatory documents to control the actions of employees, and the use of technical means of protecting premises, and the installation of software products. Asymmetric methods have a high level of durability, but are quite computationally time-consuming. In addition, various approaches using symmetric cryptosystems face the problems of generating and transmitting the key to subscribers. Therefore, there is a contradiction associated with the cryptographic transformation of confidential data with a small computational cost and a high level of protection. In this regard, the purpose of this study is to reduce the security risks of confidential information in the organization by increasing the effectiveness of protecting communication channels from information leakage by cryptographic methods.</p></sec><sec><title>Methods</title><p>Methods. In the proposed method, when implementing an asymmetric encryption algorithm, it is suggested to impose a chain of keys on the blocks of the original message obtained by generating a pseudo-random sequence based on cubic radicals. This approach guarantees the absence of periodicity of numbers in blocks and an unlimited length of a pseudo-random sequence.Results. The results obtained during the simulation showed that these chains of numbers have a uniform distribution, can be divided into blocks of arbitrary length and, from a mathematical point of view, have no periodicity.</p></sec><sec><title>Conclusion</title><p>Conclusion. The paper shows that the application of a recursive algorithm to key generation reduces the amount of computational costs by 20%, without losing the level of durability for identical keys. A comparative table is provided that demonstrates lower computational costs with the same key length as compared to other popular algorithms.</p></sec></trans-abstract><kwd-group xml:lang="ru"><kwd>ассиметричное шифрование</kwd><kwd>генератор псевдослучайных последовательностей</kwd><kwd>кубические радикалы</kwd><kwd>криптографическая стойкость</kwd><kwd>криптоанализ</kwd></kwd-group><kwd-group xml:lang="en"><kwd>asymmetric encryption</kwd><kwd>pseudorandom sequence generator</kwd><kwd>cubic radicals</kwd><kwd>cryptographic strength</kwd><kwd>cryptanalysis.</kwd></kwd-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Kalinin Maxim, Krundyshev Vasiliy, Zegzhda Peter. 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