<?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-2614</article-id>
      <title-group>
        <article-title>Efficient group ring based post-quantum Niederreiter public key encryption and key encapsulation mechanism</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Kumar</surname>
            <given-names>Sandeep</given-names>
          </name>
          <aff>Defence Research &amp; Development Organisation, Near Metcalfe House, New Delhi, Delhi, 110054, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Mittal</surname>
            <given-names>Gaurav</given-names>
          </name>
          <aff>Defence Research &amp; Development Organisation, Near Metcalfe House, New Delhi, Delhi, 110054, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sangwan</surname>
            <given-names>Sunil</given-names>
          </name>
          <aff>Defence Research &amp; Development Organisation, Near Metcalfe House, New Delhi, Delhi, 110054, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>7</issue>
      <fpage>2863</fpage>
      <lpage>2872</lpage>
      <pub-date date-type="pub">
        <day>02</day>
        <month>04</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>In this work, we present the IND-CPA secure (quantum) dual version of group ring based McEliece public key encryption (PKE) proposed in Mittal et al. (JDMSC, 2023). We show that in comparison to the classical PKE, the dual version is much more efficient. Further, we also present IND-CCA2 secure key encapsulation mechanism and IND-CCA2 secure PKE and show that both of these are quantum secure. Furthermore, we discuss the associated parameters with all the three schemes and also discuss a toy example to showcase their practicality.</p>
      </abstract>
      <kwd-group>
        <kwd>Code based cryptography</kwd>
        <kwd>Public key encryption</kwd>
        <kwd>Key encapsulation mechanism</kwd>
        <kwd>Group ring</kwd>
        <kwd>Units</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>
