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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-3065</article-id>
      <title-group>
        <article-title>Bio-inspired combinatorial models for encryption algorithms</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Sinkar</surname>
            <given-names>Yogita Deepak</given-names>
          </name>
          <aff>Department of Artificial Intelligence and Data Science, Vidya Pratishthan’s Kamalnayan Bajaj Institute of Engineering and Technology, Baramati, Pune, Maharashtra, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Chandana</surname>
            <given-names>Putta</given-names>
          </name>
          <aff>Centre for Multidisciplinary Research, Anurag University, Hyderabad, Telangana, 500088, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Das</surname>
            <given-names>Soumitra</given-names>
          </name>
          <aff>Department of Computer Engineering, Indira College of Engineering &amp; Management, Pune, Maharashtra, 410506, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Singh</surname>
            <given-names>Vikas</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Rungta College of Engineering and Technology, Rungta International Skills University, Bhilai, Chhattisgarh, 490024, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Vaghela</surname>
            <given-names>Chetansinh R.</given-names>
          </name>
          <aff>Faculty of Science, Gokul Global University, Siddhpur, Gujarat, 384151, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Padgilwar</surname>
            <given-names>Rahul A.</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>Bhansali</surname>
            <given-names>Ashok</given-names>
          </name>
          <aff>Department of Computer Engineering &amp; Applications, GLA University, Mathura, Uttar Pradesh, 281406, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>10-C</issue>
      <fpage>4457</fpage>
      <lpage>4471</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>The growing use of digital communication systems, cloud infrastructure, and Internet of things (IoT) environments has aggravated the necessity to have strong and dynamic encryption schemes to protect sensitive information. Although effective, the traditional cryptographic algorithms are increasingly challenged by the increasing cyber threats and new computation models like quantum computing. Bio-inspired intelligence combined with the combinatorial mathematical models is in this context a promising way of increasing the strength of encryption and flexibility. This paper presents a new bio-inspired combinatoric encryption system that builds upon permutation based key space based upon symmetric groups and incorporates optimization methods such as Genetic Algorithms, Ant Colony Optimization, Particle Swarm Optimization and Artificial Immune Systems. The aim of the research is to develop a dynamic and scalable encryption model that can generate high-entropy keys, as well as resist advanced cryptanalytic attacks. The approach includes building a key space, using bio-inspired optimization to generate ad-hoc keys, and using permutation based encryption with nonlinear transformations. Some of the most important security and performance measures against which the proposed system is tested are the entropy, avalanche effect, time of encryption/decryption, and the complexity involved in the computation. Experimental and comparative data prove that the given framework reaches the almost ideal entropy (7.99) and the best avalanche effect (0.498), which are better in adaptability and security strength compared to traditional encryption schemes AES and RSA.</p>
      </abstract>
      <kwd-group>
        <kwd>Bio-inspired cryptography</kwd>
        <kwd>Combinatorial encryption</kwd>
        <kwd>Symmetric group S_n</kwd>
        <kwd>Permutation-based key generation</kwd>
        <kwd>Genetic algorithm (GA)</kwd>
        <kwd>Ant colony optimization (ACO)</kwd>
        <kwd>Particle swarm optimization (PSO)</kwd>
      </kwd-group>
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  </front>
</article>
