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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">msi</journal-id><journal-title-group><journal-title xml:lang="ru">Современная наука и инновации</journal-title><trans-title-group xml:lang="en"><trans-title>Modern Science and Innovations</trans-title></trans-title-group></journal-title-group><issn pub-type="ppub">2307-910X</issn><publisher><publisher-name>North-Caucasus Federal University</publisher-name></publisher></journal-meta><article-meta><article-id custom-type="elpub" pub-id-type="custom">msi-802</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>ТЕХНИЧЕСКИЕ НАУКИ</subject></subj-group><subj-group subj-group-type="section-heading" xml:lang="en"><subject>ENGINEERING SCIENCES</subject></subj-group></article-categories><title-group><article-title>НОВАЯ СХЕМА ХРАНЕНИЯ ИНФОРМАЦИИ В ОБЛАЧНОЙ СРЕДЕ НА ОСНОВЕ СИСТЕМЫ ОСТАТОЧНЫХ КЛАССОВ И СХЕМ РАЗДЕЛЕНИЯ СЕКРЕТА</article-title><trans-title-group xml:lang="en"><trans-title>THE NEW SCHEME OF INFORMATION STORAGE IN CLOUD ENVIRONMENTS BASED ON A SYSTEM OF RESIDUAL CLASSES, SCHEMES SECRET SHARING</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>Червяков</surname><given-names>Николай Иванович</given-names></name><name name-style="western" xml:lang="en"><surname>Chervyakov</surname><given-names>Nikolay Ivanovich</given-names></name></name-alternatives><email xlink:type="simple">ncherviakov@ncfu.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>Бабенко</surname><given-names>Михаил Григорьевич</given-names></name><name name-style="western" xml:lang="en"><surname>Babenko</surname><given-names>Mikhail Grigorevich</given-names></name></name-alternatives><email xlink:type="simple">mgbabenko@ncfu.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>Кучеров</surname><given-names>Николай Николаевич</given-names></name><name name-style="western" xml:lang="en"><surname>Kucherov</surname><given-names>Nikolay Nikolaevich</given-names></name></name-alternatives><email xlink:type="simple">nkucherov@ncfu.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>Кучуков</surname><given-names>Виктор Андреевич</given-names></name><name name-style="western" xml:lang="en"><surname>Kuchukov</surname><given-names>Viktor Andreevich</given-names></name></name-alternatives><email xlink:type="simple">vkuchukov@ncfu.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>Кучукова</surname><given-names>Наталья Николаевна</given-names></name><name name-style="western" xml:lang="en"><surname>Kuchukova</surname><given-names>Nataliya Nikolaevna</given-names></name></name-alternatives><email xlink:type="simple">nkuchukova@ncfu.ru</email><xref ref-type="aff" rid="aff-1"/></contrib></contrib-group><aff-alternatives id="aff-1"><aff xml:lang="ru"><institution>Северо-Кавказский федеральный университет</institution><country>Россия</country></aff><aff xml:lang="en"><institution>North-Caucasus Federal University</institution><country>Russian Federation</country></aff></aff-alternatives><pub-date pub-type="collection"><year>2017</year></pub-date><pub-date pub-type="epub"><day>11</day><month>10</month><year>2022</year></pub-date><volume>0</volume><issue>4</issue><fpage>21</fpage><lpage>25</lpage><permissions><copyright-statement>Copyright &amp;#x00A9; Червяков Н.И., Бабенко М.Г., Кучеров Н.Н., Кучуков В.А., Кучукова Н.Н., 2022</copyright-statement><copyright-year>2022</copyright-year><copyright-holder xml:lang="ru">Червяков Н.И., Бабенко М.Г., Кучеров Н.Н., Кучуков В.А., Кучукова Н.Н.</copyright-holder><copyright-holder xml:lang="en">Chervyakov N.I., Babenko M.G., Kucherov N.N., Kuchukov V.A., Kuchukova N.N.</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://msi.elpub.ru/jour/article/view/802">https://msi.elpub.ru/jour/article/view/802</self-uri><abstract><p>В статье проведено исследование теоретических аспектов структур доступа и схем разделения секрета, рассмотрены популярные реализации структур доступа и схемы разделения секрета для всех основных видов структур доступа. Предложена математическая модель и программная реализация многоуровневой дизъюнктивной пороговой схемы разделения секрета, основанной на Китайской теореме об остатках.</p></abstract><trans-abstract xml:lang="en"><p>The article deals with the theoretical aspects of structural and group analysis. A mathematical model and software implementation of a multilevel disjunctive threshold scheme of the secret based on the Chinese remainder theorem is proposed.</p></trans-abstract><kwd-group xml:lang="ru"><kwd>гомоморфное шифрование</kwd><kwd>система остаточных классов</kwd><kwd>облачные вычисления</kwd><kwd>схемы разделения секрета</kwd><kwd>homomorphic encryption</kwd><kwd>residue number system</kwd><kwd>cloud computing</kwd><kwd>secret sharing schemes</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">Craig Gentry, Jens Groth, Yuval Ishai, Chris Peikert, Amit Sahai, Adam Smith. 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