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On Small Characteristic Algebraic Tori in Pairing-Based Cryptography
Authors: R. Granger, D. Page, M. StamAbstract:
The output 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
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