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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-3061</article-id>
      <title-group>
        <article-title>Threshold cryptography for distributed ledger systems</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <name>
            <surname>Prabhakar</surname>
            <given-names>Budigi</given-names>
          </name>
          <aff>Department of Physics, Noida International University, Greater Noida, Uttar Pradesh, 203201, India</aff>
        </contrib>
        <contrib contrib-type="author" corresp="yes">
          <name>
            <surname>Singh</surname>
            <given-names>Takveer</given-names>
          </name>
          <aff>Centre for Research Impact and Outcome, Chitkara University Institute of Engineering and Technology, Chitkara University, Rajpura, Punjab, 140401, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sao</surname>
            <given-names>Neelabh</given-names>
          </name>
          <aff>Department of Computer Science &amp; Engineering, Rungta College of Engineering &amp; Technology, Rungta International Skills University, Bhilai, Chhattisgarh, 490024, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Sairam</surname>
            <given-names>Kothakonda</given-names>
          </name>
          <aff>Centre for Multidisciplinary Research, Anurag University, Hyderabad, Telangana, 500088, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Patil</surname>
            <given-names>Sulabha Narendra</given-names>
          </name>
          <aff>Department of Engineering Science and Humanities, Vishwakarma Institute of Technology, Pune, Maharashtra, 411037, India</aff>
        </contrib>
        <contrib contrib-type="author">
          <name>
            <surname>Patil</surname>
            <given-names>Rajendra Vasantrao</given-names>
          </name>
          <aff>Department of Computer Engineering, Shri Shivaji Vidya Prasarak Sanstha’s, Bapusaheb Shivajirao Deore College of Engineering, Dhule, Maharashtra, 424005, India</aff>
        </contrib>
      </contrib-group>
      <volume>29</volume>
      <issue>10-B</issue>
      <fpage>4407</fpage>
      <lpage>4416</lpage>
      <pub-date date-type="pub">
        <day>31</day>
        <month>10</month>
        <year>2026</year>
      </pub-date>
      <abstract>
        <p>Threshold cryptography has emerged as a promising approach to enhance security, decentralization and fault tolerance in distributed ledger systems. The paper discusses the implementation of threshold cryptography schemes to blockchain systems to mitigate single-point key failures, and improve the authentication of transactions. The paper presents an architectural scheme that entails threshold key generation, distributed key management and collaborative signature techniques that are suitable for the wallets and validator nodes. Mathematical formulations of thresholds signatures are defined to demonstrate the appropriateness and strength in adverse scenarios. It exhibits a better security resilience, attack resistance and reliability of the system, as compared to the conventional cryptography methods. Experimental results are analyzed risk of key compromise is reduced and more distribution of trust is achieved without a reduction in efficiency. The proposed solution is particularly applicable to decentralized finance and the implementation of enterprise blockchain which offers a safe and scalable alternative to the existing distributed systems.</p>
      </abstract>
      <kwd-group>
        <kwd>Threshold cryptography</kwd>
        <kwd>Distributed ledger</kwd>
        <kwd>Threshold signatures</kwd>
        <kwd>Blockchain security</kwd>
        <kwd>Key management</kwd>
        <kwd>Decentralized systems</kwd>
      </kwd-group>
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        <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>
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  </front>
</article>
