On Small Characteristic Algebraic Tori in Pairing-Based Cryptography
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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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Official URL: https://doi.org/10.1112/S1461157000001194
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 | ||||||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Computing Science | ||||||||||||
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| Date : | 9 March 2006 | ||||||||||||
| DOI : | 10.1112/S1461157000001194 | ||||||||||||
| Copyright Disclaimer : | © 2006, R. Granger, D. Page and M. Stam | ||||||||||||
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| 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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