<?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-2069</article-id>
      <title-group>
        <article-title>A novel multiphase encryption strategy with Fibonacci numbers and matrices</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Domada</surname>
            <given-names>Triveni</given-names>
          </name>
          <aff>Department of Mathematics, Andhra University Trans-Disciplinary Research Hub, Andhra University, Visakhapatnam, Andhra Pradesh, 530003, India</aff>
          <aff>Department of Mathematics, Nakkapalli, Govt. Degree College, Anakapalli District, Andhra Pradesh, 531081, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kumar</surname>
            <given-names>S. Ashok</given-names>
          </name>
          <aff>Department of Mathematics, M. V. P. Colony, Gayatri Vidya Parishad College for Degree and P. G. Courses (Autonomous), Visakhapatnam, Andhra Pradesh, 530017, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ashok</surname>
            <given-names>Gudela</given-names>
          </name>
          <aff>Department of Mathematics, Andhra University Trans-Disciplinary Research Hub, Andhra University, Visakhapatnam, Andhra Pradesh, 530003, India</aff>
          <aff>Department of Mathematics, Adi Kavi Nannaya University, Rajamahendravaram, Andhra Pradesh, 533296, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kumari</surname>
            <given-names>D. Chaya</given-names>
          </name>
          <aff>Department of Mathematics, Rishikonda, Gayatri Vidya Parishad College, Visakhapatnam, Andhra Pradesh, 530045, India</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>1</issue>
      <fpage>117</fpage>
      <lpage>129</lpage>
      <pub-date date-type="pub">
        <day>28</day>
        <month>02</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>This paper proposes multiple encryption methods that secures plaintext by integrating various techniques, including the application of graph theory to trees, Fibonacci matrices, and affine transformations. The use of multiple encryption layers minimizes the risks associated with data encryption by ensuring that the compromise of a single layer does not jeopardize the overall security. This multiencryption method can be extended to public key cryptosystems. We introduce a super encryption technique that employs Laplace transformations and Fibonacci numbers. The process begins by applying the Laplace transformation to a selected function, followed by the incorporation of Fibonacci numbers to super encrypt the plaintext. Decryption is achieved by applying the inverse Laplace transform along with the corresponding Fibonacci numbers.</p>
      </abstract>
      <kwd-group>
        <kwd>Fibonacci matrices</kwd>
        <kwd>Trees</kwd>
        <kwd>Laplace transformations</kwd>
        <kwd>Affine transformations</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>
