On small characteristic algebraic tori in pairing-based cryptography
R. Granger, D. Page and M. Stam
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, the authors of this paper 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, they apply the method to pairings on
supersingular elliptic curves in characteristic three.
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