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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-2809</article-id>
      <title-group>
        <article-title>A mathematical hybrid lattice–elliptic curve encryption model for lightweight IoT security</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Shirisha</surname>
            <given-names>K.</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Sreenidhi Institute of Science and Technology, Hyderabad, Telangana, 501302, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Vivek</surname>
            <given-names>T. Venkata Satya</given-names>
          </name>
          <aff>Department of Artificial Intelligence &amp; Data Science, ICFAI Foundation for Higher Education, Hyderabad, Telangana, 501203, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kalangi</surname>
            <given-names>Ruth Ramya</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Koneru Lakshmaiah Education Foundation, Guntur, Andhra Pradesh, 522302, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Babu</surname>
            <given-names>R. Sarath</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, BVRIT Hyderabad College of Engineering for Women, Hyderabad, Telangana, 500118, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Manimaran</surname>
            <given-names>M.</given-names>
          </name>
          <aff>Department of Computer Science and Engineering (Cyber Security), Easwari Engineering College, Ramapuram, Chennai, 600089, Tamil Nadu, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Vetrithangam</surname>
            <given-names>D.</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, University Institute of Engineering, Chandigarh University, Mohali, Punjab, 140413, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Vinitha</surname>
            <given-names>V.</given-names>
          </name>
          <aff>Department of Computer Science and Engineering (Cyber Security), Dayananda Sagar University, Harohalli, Bengaluru, Karnataka, 562112, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>George</surname>
            <given-names>Diana</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Dayananda Sagar University, Harohalli, Bengaluru, Karnataka, 562112, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>9-B</issue>
      <fpage>3683</fpage>
      <lpage>3692</lpage>
      <pub-date date-type="pub">
        <day>30</day>
        <month>09</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Conventional public-key cryptosystems such as RSA and standard elliptic curve cryptography (ECC), although widely deployed, remain vulnerable to quantum adversaries and incur prohibitive computational overhead when applied to microcontroller-class IoT endpoints. This paper presents a novel hybrid cryptographic framework that integrates Ntru-lattice-based encryption (NTRU) with elliptic curve Diffie-Hellman (ECDH) key exchange and SHA-3 integrity verification to construct a layered, post-quantum-resilient security architecture. The proposed scheme exploits the algebraic structure of polynomial rings over truncated polynomial quotients to achieve both hardness guarantees rooted in the shortest vector problem (SVP) and the computational efficiency required by embedded platforms. We formalize the security reduction under the ring learning with errors (RLWE) assumption and provide a rigorous mathematical analysis of key generation, encryption, and decryption sub-protocols. Experimental evaluation on ARM Cortex-M4 and RISC-V FPGA platforms demonstrates that the proposed scheme achieves 256-bit equivalent security with encryption latency of 9.7 ms, outperforming RSA-2048 by 78% and ECC-256 by 47% in identical deployment configurations. Memory footprint is reduced to 3.2 KB compared to 11.4 KB for conventional RSA implementations.</p>
      </abstract>
      <kwd-group>
        <kwd>Post-quantum cryptography</kwd>
        <kwd>Lattice-based encryption</kwd>
        <kwd>Elliptic curve cryptography</kwd>
        <kwd>IoT security</kwd>
        <kwd>Ring learning with errors (RLWE)</kwd>
        <kwd>Hybrid cryptographic scheme</kwd>
      </kwd-group>
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  </front>
</article>
