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A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field
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<div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 87356</div> </div> </div> </div> <div class="card publication-listing mt-3 mb-3"> <h5 class="card-header" style="font-size:.9rem">A Study of General Attacks on Elliptic Curve Discrete Logarithm Problem over Prime Field and Binary Field</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Tun%20Myat%20Aung">Tun Myat Aung</a>, <a href="https://publications.waset.org/abstracts/search?q=Ni%20Ni%20Hla"> Ni Ni Hla</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper begins by describing basic properties of finite field and elliptic curve cryptography over prime field and binary field. Then we discuss the discrete logarithm problem for elliptic curves and its properties. We study the general common attacks on elliptic curve discrete logarithm problem such as the Baby Step, Giant Step method, Pollard’s rho method and Pohlig-Hellman method, and describe in detail experiments of these attacks over prime field and binary field. The paper finishes by describing expected running time of the attacks and suggesting strong elliptic curves that are not susceptible to these attacks.c <iframe src="https://publications.waset.org/abstracts/82212.pdf" style="width:100%; height:400px;" frameborder="0"></iframe> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=discrete%20logarithm%20problem" title="discrete logarithm problem">discrete logarithm problem</a>, <a href="https://publications.waset.org/abstracts/search?q=general%20attacks" title=" general attacks"> general attacks</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20curve" title=" elliptic curve"> elliptic curve</a>, <a href="https://publications.waset.org/abstracts/search?q=prime%20field" title=" prime field"> prime field</a>, <a href="https://publications.waset.org/abstracts/search?q=binary%20field" title=" binary field"> binary field</a> </p> <a href="https://publications.waset.org/abstracts/82212/a-study-of-general-attacks-on-elliptic-curve-discrete-logarithm-problem-over-prime-field-and-binary-field" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/82212.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">233</span> </span> </div> </div> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational 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