Multi-core Implementation of the Tate Pairing over Supersingular Elliptic Curves

Jean-Luc Beuchat,Emmanuel López-Trejo,Luis Martínez-Ramos,Shigeo Mitsunari,Francisco Rodríguez-Henríquez

CRYPTOLOGY AND NETWORK SECURITY, PROCEEDINGS（2009）

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摘要

This paper describes the design of a fast multi-core library for the cryptographic Tate pairing over supersingular elliptic curves. For the computation of the reduced modified Tate pairing over $\mathbb{F}_{3^{509}}$, we report calculation times of just 2.94 ms and 1.87 ms on the Intel Core2 and Intel Core i7 architectures, respectively. We also try to answer one important design question that arises: how many cores should be utilized for a given application?

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关键词

supersingular elliptic curve,multi-core.,tate pairing,! t pairing,finite field arithmetic,calculation time,supersingular curve,cryptographic tate pairing,fast multi-core library,intel core i7 architecture,intel core2,supersingular elliptic curves,important design question,multi-core implementation,multi core

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