<?xml version="1.0" encoding="UTF-8"?>
<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-2554</article-id>
      <title-group>
        <article-title>Enhancing RSA security : Analyzing vulnerabilities and mitigation strategies using machine learning and trigonometric functions</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Shindagi</surname>
            <given-names>Kunaal Shirish</given-names>
          </name>
          <aff>K2NP One Boat Solutions, Belagavi, Karnataka, 590005, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Jayakkanavar</surname>
            <given-names>Abhilasha</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Jain College of Engineering and Research, Affiliated to Visvesvaraya Technological University Belagavi, Belagavi, Karnataka, 590008, India</aff>
          <aff>New Delhi, Delhi, 110018, India</aff>
          <aff>New Delhi, Delhi, 110018, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Fadanis</surname>
            <given-names>Bharateesh</given-names>
          </name>
          <aff>Department of Computer Science and Engineering, Jain College of Engineering and Research, Affiliated to Visvesvaraya Technological University Belagavi, Belagavi, Karnataka, 590008, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sonwalkar</surname>
            <given-names>Prakash K.</given-names>
          </name>
          <aff>Department of Computer Science and Engineering (AIML), Jain College of Engineering and Research, Affiliated to Visvesvaraya Technological University Belagavi, Belagavi, Karnataka, 590008, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Hiremani</surname>
            <given-names>Vani</given-names>
          </name>
          <aff>Symbiosis International (Deemed University), Symbiosis Institute of Technology, Pune, Maharashtra, 412115, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Goyal</surname>
            <given-names>Ankur</given-names>
          </name>
          <aff>Symbiosis International (Deemed University), Symbiosis Institute of Technology, Pune, Maharashtra, 412115, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>2-B</issue>
      <fpage>1013</fpage>
      <lpage>1021</lpage>
      <pub-date date-type="pub">
        <day>18</day>
        <month>02</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>RSA has long been trusted for secure digital communication, but increasing threats and advances, such as AI and quantum technology, expose vulnerabilities. This paper reexamines RSA’s current weaknesses and proposes strengthening it with machine learning and trigonometric functions. Machine learning detects vulnerabilities through pattern recognition, while trigonometric functions add unpredictability in encryption. We detail this method, compare it to classical RSA, and discuss its future impact on digital security. It’s about rethinking trust and blending old and new ideas to protect information.</p>
      </abstract>
      <kwd-group>
        <kwd>RSA cryptography</kwd>
        <kwd>Trigonometric encryption</kwd>
        <kwd>Machine learning</kwd>
        <kwd>Cryptanalysis</kwd>
        <kwd>Post-quantum security</kwd>
      </kwd-group>
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        <custom-meta>
          <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>
