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Attractive subfamilies of BLS curves for implementing high-security pairings

Costello, Craig, Lauter, Kristin, & Naehrig, Michael (2011) Attractive subfamilies of BLS curves for implementing high-security pairings. Lecture Notes in Computer Science : Progress in Cryptology - INDOCRYPT 2011, 7017, pp. 320-342.

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Abstract

Barreto-Lynn-Scott (BLS) curves are a stand-out candidate for implementing high-security pairings. This paper shows that particular choices of the pairing-friendly search parameter give rise to four subfami- lies of BLS curves, all of which offer highly efficient and implementation- friendly pairing instantiations. Curves from these particular subfamilies are defined over prime fields that support very efficient towering options for the full extension field. The coefficients for a specific curve and its correct twist are automat-ically determined without any computational effort. The choice of an extremely sparse search parameter is immediately reflected by a highly efficient optimal ate Miller loop and final exponentiation. As a resource for implementors, we give a list with examples of implementation-friendly BLS curves through several high-security levels.

Impact and interest:

6 citations in Scopus
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2 citations in Web of Science®

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ID Code: 47971
Item Type: Journal Article
Additional URLs:
Keywords: Pairing-Friendly, High-Security Pairings, BLS Curves
DOI: 10.1007/978-3-642-25578-6_23
ISBN: 9783642255779
ISSN: 0302-9743
Subjects: Australian and New Zealand Standard Research Classification > INFORMATION AND COMPUTING SCIENCES (080000) > COMPUTATION THEORY AND MATHEMATICS (080200) > Applied Discrete Mathematics (080202)
Divisions: Past > QUT Faculties & Divisions > Faculty of Science and Technology
Past > Institutes > Information Security Institute
Copyright Owner: Copyright 2011 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, Lecture Notes in Computer Science. http://www.springer.de/comp/lncs/
Deposited On: 10 Jan 2012 09:33
Last Modified: 14 Feb 2012 17:07

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