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Prime numbers, diophantine equations, diophantine approximations, analytic or algebraic number theory, arithmetic geometry, Galois theory, transcendental number theory, continued fractions

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bilinear pairing on elliptic curve

In pairing based cryptography we like to have as large k as possible. Replacing q by q' = q^{k/k'} and treating the curve as embedding degree k' < k is not interesting. For general elliptic curves (i …
Steven Galbraith's user avatar