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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">kaz29</journal-id><journal-title-group><journal-title xml:lang="ru">Вестник Казахстанско-Британского технического университета</journal-title><trans-title-group xml:lang="en"><trans-title>Herald of the Kazakh-British Technical University</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">1998-6688</issn><issn pub-type="epub">2959-8109</issn><publisher><publisher-name>Казахстанско-Британский Технический Университет</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.55452/1998-6688-2026-23-1-68-81</article-id><article-id custom-type="elpub" pub-id-type="custom">kaz29-2500</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>КОМПЬЮТЕРНЫЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>COMPUTER SCIENCE</subject></subj-group></article-categories><title-group><article-title>КРИПТОГРАФИЧЕСКИЙ ПРОТОКОЛ ВЕРИФИЦИРУЕМО ЗАШИФРОВАННОЙ ПОДПИСИ С ВОЗМОЖНОСТЬЮ ПРОВЕРКИ ЧЕРЕЗ ЗАДАННОЕ ВРЕМЯ</article-title><trans-title-group xml:lang="en"><trans-title>CRYPTOGRAPHIC PROTOCOL OF VERIFIABLY ENCRYPTED SIGNATURE WITH POSSIBILITY OF VERIFICATION AFTER A SPECIFIED TIME</trans-title></trans-title-group></title-group><contrib-group><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-5172-8339</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Сейткулов</surname><given-names>Е. Н.</given-names></name><name name-style="western" xml:lang="en"><surname>Seitkulov</surname><given-names>Ye. N.</given-names></name></name-alternatives><bio xml:lang="ru"><p>к. ф.-м. н., научный сотрудник</p><p>г. Астана</p></bio><bio xml:lang="en"><p>Cand. Phys.-Math. Sc., Research Fellow</p><p>Astana</p></bio><email xlink:type="simple">yerzhan.seitkulov@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-0771-575X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Оспанов</surname><given-names>Р. М.</given-names></name><name name-style="western" xml:lang="en"><surname>Ospanov</surname><given-names>R. M.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистр, научный сотрудник</p><p>г. Астана</p></bio><bio xml:lang="en"><p>MSc (Tech.), Research Fellow</p><p>Astana</p></bio><email xlink:type="simple">ospanovrm@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0002-1252-857X</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Ергалиева</surname><given-names>Б. Б.</given-names></name><name name-style="western" xml:lang="en"><surname>Yergaliyeva</surname><given-names>B. B.</given-names></name></name-alternatives><bio xml:lang="ru"><p>научный сотрудник</p><p>г. Астана</p></bio><bio xml:lang="en"><p>Research Fellow</p><p>Astana</p></bio><email xlink:type="simple">banu.yergaliyeva@gmail.com</email><xref ref-type="aff" rid="aff-1"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0009-0004-3032-5049</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Утебаев</surname><given-names>К. А.</given-names></name><name name-style="western" xml:lang="en"><surname>Utebayev</surname><given-names>K. A.</given-names></name></name-alternatives><bio xml:lang="ru"><p>магистрант, научный сотрудник</p><p>г. Алматы</p></bio><bio xml:lang="en"><p>Master’s student, Research Fellow</p><p>Almaty</p></bio><email xlink:type="simple">utebayevkuat@gmail.com</email><xref ref-type="aff" rid="aff-2"/></contrib><contrib contrib-type="author" corresp="yes"><contrib-id contrib-id-type="orcid">https://orcid.org/0000-0003-2115-7130</contrib-id><name-alternatives><name name-style="eastern" xml:lang="ru"><surname>Атанов</surname><given-names>С. К.</given-names></name><name name-style="western" xml:lang="en"><surname>Atanov</surname><given-names>S. K.,</given-names></name></name-alternatives><bio xml:lang="ru"><p>д.т.н., профессор</p><p>г. Астана</p></bio><bio xml:lang="en"><p>Dr. Tech. Sc., Professor</p><p>Astana</p></bio><email xlink:type="simple">atanov_sk@enu.kz</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru">Евразийский национальный университет им. Л.Н.Гумилева<country>Казахстан</country></aff><aff xml:lang="en">L.N. Gumilyov Eurasian National University<country>Kazakhstan</country></aff></aff-alternatives><aff-alternatives id="aff-2"><aff xml:lang="ru">Алматинский филиал Национального исследовательского ядерного университета «МИФИ»<country>Казахстан</country></aff><aff xml:lang="en">Almaty branch of the National Research Nuclear University MEPhI<country>Kazakhstan</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2026</year></pub-date><pub-date pub-type="epub"><day>29</day><month>03</month><year>2026</year></pub-date><volume>23</volume><issue>1</issue><fpage>68</fpage><lpage>81</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Сейткулов Е.Н., Оспанов Р.М., Ергалиева Б.Б., Утебаев К.А., Атанов С.К., 2026</copyright-statement><copyright-year>2026</copyright-year><copyright-holder xml:lang="ru">Сейткулов Е.Н., Оспанов Р.М., Ергалиева Б.Б., Утебаев К.А., Атанов С.К.</copyright-holder><copyright-holder xml:lang="en">Seitkulov Y.N., Ospanov R.M., Yergaliyeva B.B., Utebayev K.A., Atanov S.K.</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://vestnik.kbtu.edu.kz/jour/article/view/2500">https://vestnik.kbtu.edu.kz/jour/article/view/2500</self-uri><abstract><p>Одним из современных направлений в области защиты информации является постквантовая криптография. Ее целью является разработка новых квантово-устойчивых криптографических алгоритмов. Важный раздел постквантовой криптографии составляют алгоритмы электронной цифровой подписи. Существует ряд различных подходов к проектированию постквантовых подписей. Одним из основных подходов к проектированию постквантовых криптографических алгоритмов цифровой подписи являются схемы постквантовой цифровой подписи, основанные на хешировании. Схемы постквантовой цифровой подписи, основанные на хешировании, являются одним из основных типов постквантовых криптографических алгоритмов цифровой подписи. Они достаточно эффективны и доказуемо безопасны. Установлена их надежная безопасность как против классических, так и против квантовых атак. Для решения различных задач информационной безопасности существует множество видов цифровых подписей, например, групповые подписи, кольцевые подписи, слепые подписи, верифицируемо зашифрованные подписи и т.д. В данной работе предлагается новый криптографический протокол верифицируемо зашифрованной подписи с возможностью проверки через заданное время на базе постквантового криптографического алгоритма цифровой подписи, основанной на хешировании, TANBA-SPHINCS+. Протокол является эффективной комбинацией постквантового алгоритма цифровой подписи TANBA-SPHINCS+, криптографического протокола, обеспечивающего шифрование данных на заданное время, ECTLC, и схемы верифицируемо зашифрованной подписи.</p></abstract><trans-abstract xml:lang="en"><p>One of the modern directions in the field of information security is post-quantum cryptography. Its purpose is to develop new quantum-resistant cryptographic algorithms. An important section of post-quantum cryptography is electronic digital signature algorithms. There are a number of different approaches to designing post-quantum signatures. One of the main approaches to designing post-quantum cryptographic digital signature algorithms is hash-based post-quantum digital signature schemes. Hash-based post-quantum digital signature schemes are one of the main types of post-quantum cryptographic digital signature algorithms. They are quite efficient and provably secure. Their reliable security has been established against both classical and quantum attacks. There are many types of digital signatures for solving various information security problems, such as group signatures, ring signatures, blind signatures, verifiably encrypted signatures, etc. This paper proposes a new cryptographic protocol of verifiably encrypted signature with possibility of verification after a specified time based on the post-quantum cryptographic algorithm of hash-based digital signature, TANBA-SPHINCS+. The protocol is an efficient combination of the postquantum digital signature algorithm TANBA-SPHINCS+, the cryptographic protocol providing data encryption for a specified time, ECTLC, and the verifiably encrypted signature scheme.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>криптографический протокол</kwd><kwd>цифровая подпись</kwd><kwd>постквантовая криптография</kwd><kwd>асимметричная криптография</kwd><kwd>верифицируемо зашифрованная подпись</kwd></kwd-group><kwd-group xml:lang="en"><kwd>cryptographic protocol</kwd><kwd>digital signature</kwd><kwd>post-quantum cryptography</kwd><kwd>asymmetric cryptography</kwd><kwd>verifiably encrypted signature</kwd></kwd-group><funding-group xml:lang="ru"><funding-statement>Работа выполнена при финансовой поддержке КН МНВО РК, No AP23486901.</funding-statement></funding-group></article-meta></front><back><ref-list><title>References</title><ref id="cit1"><label>1</label><citation-alternatives><mixed-citation xml:lang="ru">Оспанов Р., Сейткулов Е., Ергалиева Б., Утебаев К., Атанов С. 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