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Published in:
2010 | OriginalPaper | Chapter
New Software Speed Records for Cryptographic Pairings
Authors : Michael Naehrig, Ruben Niederhagen, Peter Schwabe
Published in: Progress in Cryptology – LATINCRYPT 2010
Publisher: Springer Berlin Heidelberg
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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.