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Scalable Systolic Multiplier over Binary Extension Fields Based on Two-Level Karatsuba Decomposition
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/></div></noscript> <!-- /Yandex.Metrika counter --> <!-- Matomo --> <!-- End Matomo Code --> <title>Scalable Systolic Multiplier over Binary Extension Fields Based on Two-Level Karatsuba Decomposition</title> <meta name="description" content="Scalable Systolic Multiplier over Binary Extension Fields Based on Two-Level Karatsuba Decomposition"> <meta name="keywords" content="digit-serial systolic multiplier, elliptic curve cryptography (ECC), Karatsuba algorithm (KA), shifted polynomial basis (SPB), pairing computation"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link 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basis representation. SPB has potential for efficient bit-level and digit-level implementations of multiplication over binary extension fields with subquadratic space complexity. For efficient implementation of pairing computation with large finite fields, this paper presents a new SPB multiplication algorithm based on Karatsuba schemes, and used that to derive a novel scalable multiplier architecture. Analytical results show that the proposed multiplier provides a trade-off between space and time complexities. Our proposed multiplier is modular, regular, and suitable for very-large-scale integration (VLSI) implementations. It involves less area complexity compared to the multipliers based on traditional decomposition methods. It is therefore, more suitable for efficient hardware implementation of pairing based cryptography and elliptic curve cryptography (ECC) in constraint driven applications. <iframe src="https://publications.waset.org/abstracts/8169.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=digit-serial%20systolic%20multiplier" title="digit-serial systolic multiplier">digit-serial systolic multiplier</a>, <a href="https://publications.waset.org/abstracts/search?q=elliptic%20curve%20cryptography%20%28ECC%29" title=" elliptic curve cryptography (ECC)"> elliptic curve cryptography (ECC)</a>, <a href="https://publications.waset.org/abstracts/search?q=Karatsuba%20algorithm%20%28KA%29" title=" Karatsuba algorithm (KA)"> Karatsuba algorithm (KA)</a>, <a href="https://publications.waset.org/abstracts/search?q=shifted%20polynomial%20basis%20%28SPB%29" title=" shifted polynomial basis (SPB)"> shifted polynomial basis (SPB)</a>, <a href="https://publications.waset.org/abstracts/search?q=pairing%20computation" title=" pairing computation"> pairing computation</a> </p> <a href="https://publications.waset.org/abstracts/8169/scalable-systolic-multiplier-over-binary-extension-fields-based-on-two-level-karatsuba-decomposition" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/8169.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">361</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 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