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<article article-type="Research Article">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher">journal-of-discrete-mathematical-sciences-and-cryptography</journal-id>
      <journal-title-group>
        <journal-title>Journal of Discrete Mathematical Sciences and Cryptography</journal-title>
      </journal-title-group>
      <issn publication-format="electronic">2169-0065</issn>
      <issn publication-format="print">0972-0529</issn>
      <publisher>
        <publisher-name>Taru Publications</publisher-name>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="doi">10.47974/JDMSC-2521</article-id>
      <title-group>
        <article-title>Cryptographic key generation using graph theory and AI-based combinatorics</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Deshmukh</surname>
            <given-names>Pradeep Kundlik</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, COEP Technological University, Pune, Maharashtra, 411005, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Naik</surname>
            <given-names>Ketaki</given-names>
          </name>
          <aff>Department of Information Technology, Bharati Vidyapeeth’s College of Engineering for Women, Pune, Maharashtra, 411043, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Tambakhe</surname>
            <given-names>Manoj D.</given-names>
          </name>
          <aff>Department of Information Technology, Sipna College of Engineering &amp; Technology, Amravati, Maharashtra, 444607, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Mamadiyarov</surname>
            <given-names>Zokir</given-names>
          </name>
          <aff>Department of Economics, Mamun University, Khiva, Uzbekistan</aff>
          <aff>Department of Finance and Tourism, Termez University of Economics and Service, Uzbekistan</aff>
          <aff>Department of Bank Accounting and Auditing, Tashkent State University of Economics, Tashkent, Uzbekistan</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Joshi</surname>
            <given-names>Navneet</given-names>
          </name>
          <aff>Department of Mathematics, Graphic Era Hill University, Bhimtal Campus, Uttarakhand, 263136, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Varma</surname>
            <given-names>V. K. Chaitanya</given-names>
          </name>
          <aff>Department of Mechanical Engineering, Sagi Rama Krishnam Raju Engineering College, Chinamiram Rural, Andhra Pradesh, 534204, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>2-A</issue>
      <fpage>749</fpage>
      <lpage>757</lpage>
      <pub-date date-type="pub">
        <day>04</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>AI-based combinatorial optimization and graph theory are used together in this study to show a new way to make encryption keys.  Graph structures like vector measure spaces and orthogonal sequences are used to make complicated, safe keys that can’t be broken by standard means. AI strategies, like genetic algorithms and reinforcement learning, improve key risk and entropy by way of making complex strategies greater efficient. The device thinks of key advent as a design trouble, which makes it clean to traverse and find styles. Including AI-driven random techniques makes key creation an awful lot faster and greater reliable. Algorithmic workflows show how to make keys which might be scalable and adaptable, which is good for modern-day cryptographic systems. </p>
      </abstract>
      <kwd-group>
        <kwd>Graph theory</kwd>
        <kwd>Combinatorial optimization</kwd>
        <kwd>Genetic algorithms</kwd>
        <kwd>reinforcement learning</kwd>
        <kwd>Cryptographic key generation</kwd>
      </kwd-group>
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          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
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        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
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  </front>
</article>
