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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-3033</article-id>
      <title-group>
        <article-title>Boolean function optimization for stream cipher design</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Madhura</surname>
            <given-names>K.</given-names>
          </name>
          <aff>Department of Information Technology, Manipal Institute of Technology Bengaluru, Manipal Academy of Higher Education (Deemed to be University), Bengaluru, Karnataka, 560064, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sule</surname>
            <given-names>Bipin</given-names>
          </name>
          <aff>Department of Engineering Science and Humanities, Vishwakarma Institute of Technology, Pune, Maharashtra, 411037, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sarpal</surname>
            <given-names>Sumeet Singh</given-names>
          </name>
          <aff>Centre for Research Impact and Outcome, Chitkara University, Rajpura, Punjab, 140417, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Bhuvaneswari</surname>
            <given-names>A. K.</given-names>
          </name>
          <aff>Department of Humanities and Sciences (Mathematics Division), Aarupadai Veedu Institute of Technology, Vinayaka Mission’s Research Foundation (Deemed to be University), Paiyanoor, Chennai, Tamil Nadu, 603104, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Goyal </surname>
            <given-names>Saumya</given-names>
          </name>
          <aff>Quantum University Research Center, Quantum University, Roorkee, Uttarakhand, 247667, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Adhyaru</surname>
            <given-names>Yagna B.</given-names>
          </name>
          <aff>Faculty of Engineering, Gokul Global University, Sidhpur, Gujarat, 384151, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>10-B</issue>
      <fpage>4075</fpage>
      <lpage>4085</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The design of secure and efficient stream ciphers heavily relies on the use of the Boolean functions, which affect the nonlinearity, correlation immunity, and algebraic complexity. The current paper gives a detailed approach to optimization of Boolean functions which combines classical strategies with recent techniques of artificial intelligence. Classical methods, such as Karnaugh maps, QuineMcCluskey minimization, and ReedMuller spectral analysis are compared based on their use in optimal cryptographic properties. Nonetheless, such techniques are usually limited in the scaling of high-dimensional functional spaces. To solve this problem, AI-based optimization techniques like genetic algorithms, reinforcement learning, and swarm intelligence are investigated to improve performance and adaptiveness. The experimental performance of the scheme has shown a great enhancement in nonlinearity, balancedness, and resistance to algebraic and correlation attacks. The suggested hybrid optimization has made it possible to design robust, scalable and efficient Boolean functions in next generation stream cipher systems.</p>
      </abstract>
      <kwd-group>
        <kwd>Boolean functions</kwd>
        <kwd>Stream ciphers</kwd>
        <kwd>Nonlinearity</kwd>
        <kwd>Reed–Muller expansion</kwd>
        <kwd>Genetic algorithms</kwd>
        <kwd>Cryptographic optimization</kwd>
      </kwd-group>
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          <meta-name>access</meta-name>
          <meta-value>open</meta-value>
        </custom-meta>
        <custom-meta>
          <meta-name>retracted</meta-name>
          <meta-value>no</meta-value>
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  </front>
</article>
