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On Small Characteristic Algebraic Tori in Pairing-Based Cryptography

Granger, R., Page, D. and Stam, M. (2006) On Small Characteristic Algebraic Tori in Pairing-Based Cryptography LMS Journal of Computation and Mathematics, 9. pp. 64-85.

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Abstract

The value of the Tate pairing on an elliptic curve over a finite field may be viewed as an element of an algebraic torus. Using this simple observation, we transfer techniques recently developed for torus-based cryptography to pairing-based cryptography, resulting in more efficient computations, and lower bandwidth requirements. To illustrate the efficacy of this approach, we apply the method to pairings on supersingular elliptic curves in characteristic three.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Computing Science
Authors :
NameEmailORCID
Granger, R.r.granger@surrey.ac.uk
Page, D.
Stam, M.
Date : 9 March 2006
DOI : 10.1112/S1461157000001194
Copyright Disclaimer : © 2006, R. Granger, D. Page and M. Stam
Related URLs :
Depositing User : Clive Harris
Date Deposited : 07 Feb 2019 09:23
Last Modified : 29 Mar 2019 10:03
URI: http://epubs.surrey.ac.uk/id/eprint/850393

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