<?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-2682</article-id>
      <title-group>
        <article-title>A novel cryptographic scheme based on the ES transform</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Flayyih</surname>
            <given-names>Rusul Ahmed</given-names>
          </name>
          <aff>General Directorate of Education Thi-Qar, Ministry of Education, Thi-Qar, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Harbi</surname>
            <given-names>Suha Raisan</given-names>
          </name>
          <aff>General Directorate of Education Thi-Qar, Ministry of Education, Thi-Qar, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Mahdi</surname>
            <given-names>Ahlam Abdulkareem</given-names>
          </name>
          <aff>General Directorate of Education Najaf, Ministry of Education, Najaf, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Falih</surname>
            <given-names>Huda Ali</given-names>
          </name>
          <aff>General Directorate of Education Najaf, Ministry of Education, Najaf, Iraq</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Kuffi</surname>
            <given-names>Emad Abbas</given-names>
          </name>
          <aff>Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>5</issue>
      <fpage>2095</fpage>
      <lpage>2100</lpage>
      <pub-date date-type="pub">
        <day>22</day>
        <month>05</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In this paper, a novel cryptographic approach based on the ES transform is proposed for secure text encryption and decryption. The method employs the Emad–Sara transforms to convert plaintext into an encrypted representation, thereby enhancing data confidentiality through mathematical transformation. Decryption is achieved by applying the corresponding inverse ES integral transform, which enables accurate recovery of the original plaintext without information loss. The proposed scheme is illustrated with a detailed numerical example that demonstrates both the encryption and decryption processes. The results confirm the correctness, reversibility, and computational feasibility of the method. Owing to its transform-based structure, the approach provides an additional layer of security and shows potential for integration into modern cryptographic systems. This study highlights the applicability of the Emad–Sara transforms as a practical mathematical tool for information security and opens avenues for further research into their robustness and performance in advanced encryption frameworks. </p>
      </abstract>
      <kwd-group>
        <kwd>ES-integral transform</kwd>
        <kwd>Inverse ES-transform</kwd>
        <kwd>Cryptography</kwd>
        <kwd>Cryptosystem</kwd>
        <kwd>Encryption</kwd>
        <kwd>Decryption</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>
