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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-2700</article-id>
      <title-group>
        <article-title>Design of ECC-based secure communication protocols over discrete mathematical structures for 6G WSNs</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <given-names>Sushama</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Vaidya</surname>
            <given-names>Shuchita</given-names>
          </name>
          <aff>Department of Online and Digital Learning, Symbiosis International (Deemed University), Pune, Maharashtra, 412115, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Saini</surname>
            <given-names>Ashok Kumar</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Saini</surname>
            <given-names>Madan  Lal</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Apex Institute of Technology (AIT), Chandigarh University, Mohali, Punjab, 140413, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Yadav</surname>
            <given-names>Jyoti</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, School of Engineering &amp; Technology, K. R. Mangalam University, Gurugram, Haryana, 122103, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Vats</surname>
            <given-names>Prashant</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Manipal University Jaipur, Jaipur, Rajasthan, 303007, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>8</issue>
      <fpage>3159</fpage>
      <lpage>3166</lpage>
      <pub-date date-type="pub">
        <day>14</day>
        <month>08</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>This paper presents the design of an ECC-based secure communication protocol built on discrete mathematical structures for 6G Wireless Sensor Networks (WSNs). The framework leverages optimized elliptic curve operations over finite fields to enable lightweight encryption, secure key exchange, and reliable authentication in resource-constrained environments. By utilizing the hardness of the Elliptic Curve Discrete Logarithm Problem (ECDLP), the proposed protocol ensures strong confidentiality, integrity, and forward secrecy. The design focuses on reducing computational overhead, communication cost, and energy consumption, making it suitable for large-scale sensor deployments. The protocol supports scalable and efficient security mechanisms, addressing the challenges of massive connectivity, low latency, and heterogeneous devices in emerging 6G networks.</p>
      </abstract>
      <kwd-group>
        <kwd>Elliptic curve cryptography</kwd>
        <kwd>Discrete mathematical structures</kwd>
        <kwd>6G wireless sensor networks</kwd>
        <kwd>Secure key exchange</kwd>
        <kwd>Lightweight cryptography</kwd>
        <kwd>Projective coordinates</kwd>
        <kwd>Finite field arithmetic</kwd>
        <kwd>Attack penetrance modeling</kwd>
        <kwd>Computational security</kwd>
        <kwd>Post-quantum cryptography</kwd>
      </kwd-group>
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          <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>
