<?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-1867</article-id>
      <title-group>
        <article-title>Neuronal crypto system based on chaotic super-increasing sequence</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Merzoug</surname>
            <given-names>Assia</given-names>
          </name>
          <aff>Loboratory of Coding and Security of Information, University Center of Barika, Batna, 05001, Algeria</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Ali-Pacha</surname>
            <given-names>Hana</given-names>
          </name>
          <aff>Quartz Laboratory, École Catholique d’Arts et Métiers - École des Productions et Méthodes Industrielles, 13 Bd de l’Hautil, Cergy Pontoise Cedex, 95092, France</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Ali-Pacha</surname>
            <given-names>Adda</given-names>
          </name>
          <aff>Loboratory of Coding and Security of Information, Mohamed Boudiaf, University of Sciences and Technology of Oran, El M’Naouer Oran, P. O. Box 1505, 31000, Algeria</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Özer</surname>
            <given-names>Özen</given-names>
          </name>
          <aff>Department of Mathematics, Faculty of Science and Arts, Kırklareli University, Kirklareli, 39100, Türkiye</aff>
        </contrib>
      </contrib-group>
      <volume>28</volume>
      <issue>3</issue>
      <fpage>733</fpage>
      <lpage>751</lpage>
      <pub-date date-type="pub">
        <day>11</day>
        <month>04</month>
        <year>2025</year>
      </pub-date>
      <abstract>
        <p>Neural networks were originally developed as an alternative to artificial intelligence to solve problems such as control, shape or word recognition, decision-making, memory, and more. In this work, we propose to assign them to secure images. For this, we use data (which is defined from the logistics map) to generate a super-increasing sequence which can attributed as a weight of the synapses. Also, we have inspired to encrypt the images by the Merkel-Hellman algorithm. The proposed system is called Neuronal Crypto-System which is a secret key system. It takes some steps of encryption and decryption of a specific public key crypto system and crypts a grayscale image to color image (RGB).</p>
      </abstract>
      <kwd-group>
        <kwd>Cryptography</kwd>
        <kwd>Knapsack problem</kwd>
        <kwd>Merkele-hellman Cipher</kwd>
        <kwd>Neural network</kwd>
        <kwd>Logistics map</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>
      </custom-meta-group>
    </article-meta>
  </front>
</article>
