[Resource Topic] 2009/276: Multi-core Implementation of the Tate Pairing over Supersingular Elliptic Curves

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

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

Abstract:

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 surges: how many cores should be utilized for a given application?

ePrint: https://eprint.iacr.org/2009/276

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