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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-3035</article-id>
      <title-group>
        <article-title>Chaos-based image encryption using discrete maps</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Shrivastav</surname>
            <given-names>Ritesh</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Anjuman College of Engineering &amp; Technology, Nagpur, Maharashtra, 440022, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Desai</surname>
            <given-names>Latika Rahul</given-names>
          </name>
          <aff>Akurdi</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Khurana</surname>
            <given-names>Saniya</given-names>
          </name>
          <aff>Centre for Research Impact and Outcome, Chitkara University, Rajpura, Punjab, 140417, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ravilla</surname>
            <given-names>Lokesh</given-names>
          </name>
          <aff>Centre for Multidisciplinary Research, Anurag University, Hyderabad, Telangana, 500088, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Goyal</surname>
            <given-names>Shobhit</given-names>
          </name>
          <aff>Quantum University Research Center, Quantum University, Roorkee, Uttarakhand, 247667, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Hasan</surname>
            <given-names>Fazil</given-names>
          </name>
          <aff>Department of Agriculture, Noida International University, Greater Noida, Uttar Pradesh, 203201, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>10-B</issue>
      <fpage>4097</fpage>
      <lpage>4107</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Image encryption using chaos has become an effective method of protecting digital visual information because of its high sensitivity, randomness and nonlinear nature. The current paper outlines a discrete map-based encryption model which uses chaotic sequences to provide strong protection to images. The model proposed combines both permutation and diffusion processes based on discrete chaotic maps to attain good confusion and diffusion properties. The encryption algorithm is a stepwise algorithm that is meant to encode pixel positions and intensities and the decryption algorithm, when the correct keys are used, would guarantee proper decoding of the algorithm. It can be shown using key sensitivity analysis that any small change in the initial parameters will lead to a large difference in the output, which will make it more resistant to brute-force and differential attacks. The effectiveness of the proposed chaos-based encryption scheme is confirmed by the experimental results showing a high level of entropy, low level of correlation, and enhanced security performance over traditional techniques.</p>
      </abstract>
      <kwd-group>
        <kwd>Chaos-based encryption</kwd>
        <kwd>Discrete maps</kwd>
        <kwd>Image security</kwd>
        <kwd>Key sensitivity</kwd>
        <kwd>Permutation-diffusion</kwd>
        <kwd>Cryptographic randomness</kwd>
      </kwd-group>
      <custom-meta-group>
        <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>
        </custom-meta>
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    </article-meta>
  </front>
</article>
