Delaying mismatched field multiplications in pairing computations
Costello, Craig, Boyd, Colin, Gonzalez Nieto, Juan M., & Wong, Kenneth Koon-Ho (2010) Delaying mismatched field multiplications in pairing computations. In Arithmetic of Finite Fields : Third International Workshop, WAIFI 2010, Proceedings, Springer Verlag, Istanbul, Turkey, pp. 196-214.
Miller’s algorithm for computing pairings involves perform- ing multiplications between elements that belong to diﬀerent ﬁnite ﬁelds. Namely, elements in the full extension ﬁeld Fpk are multiplied by elements contained in proper subﬁelds F pk/d , and by elements in the base ﬁeld Fp . We show that signiﬁcant speedups in pairing computations can be achieved by delaying these “mismatched” multiplications for an optimal number of iterations. Importantly, we show that our technique can be easily integrated into traditional pairing algorithms; implementers can exploit the computational savings herein by applying only minor changes to existing pairing code.
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|Item Type:||Conference Paper|
|Keywords:||Pairings, Miller's algorithm, finite field arithmetic, Tate pairing, ate pairing|
|Subjects:||Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Computation Theory and Mathematics not elsewhere classified (080299)|
|Divisions:||Past > QUT Faculties & Divisions > Faculty of Science and Technology|
Past > Institutes > Information Security Institute
|Copyright Owner:||Copyright 2010 Springer-Verlag Berlin Heidelberg|
|Copyright Statement:||This is the author-version of the work. Conference proceedings published, by Springer Verlag, will be available via SpringerLink http://www.springer.de/comp/lncs/|
|Deposited On:||20 Aug 2010 12:20|
|Last Modified:||18 Jul 2014 14:46|
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