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.

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Abstract

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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ID Code: 34178
Item Type: Conference Paper
Additional URLs:
Keywords: Pairings, Miller's algorithm, finite field arithmetic, Tate pairing, ate pairing
DOI: 10.1007/978-3-642-13797-6_14
ISBN: 9783642137976
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 02:20
Last Modified: 18 Jul 2014 04:46

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