New software speed records for cryptographic pairings

M. Naehrig, R.F. Niederhagen, P. Schwabe

Onderzoeksoutput: Hoofdstuk in Boek/Rapport/CongresprocedureConferentiebijdrageAcademicpeer review

58 Citaten (Scopus)


Abstract This paper presents new software speed records for the computation of cryptographic pairings. More specifically, we present details of an implementation which computes the optimal ate pairing on a 257-bit Barreto-Naehrig curve in only 4,470,408 cycles on one core of an Intel Core 2 Quad Q6600 processor. This speed is achieved by combining 1.) state-of-the-art high-level optimization techniques, 2.) a new representation of elements in the underlying finite fields which makes use of the special modulus arising from the Barreto-Naehrig curve construction, and 3.) implementing arithmetic in this representation using the double-precision floating-point SIMD instructions of the AMD64 architecture. Keywords: Pairings, Barreto-Naehrig curves, ate pairing, AMD64 architecture, modular arithmetic, SIMD floating-point instructions.
Originele taal-2Engels
TitelProgress in Cryptology - LATINCRYPT 2010 (First International Conference on Cryptology and Information Security in Latin America, Puebla, Mexico, August 8-11, 2010. Proceedings)
RedacteurenM. Abdalla, P.S.L.M. Barretto
Plaats van productieBerlin
ISBN van geprinte versie978-3-642-14711-1
StatusGepubliceerd - 2010

Publicatie series

NaamLecture Notes in Computer Science
ISSN van geprinte versie0302-9743


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