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At CRYPTO ’94, Tillich and Z´emor proposed a family of hash functions, based on computing a suitable matrix product in groups of the form SL2(F2n).We show how to construct collisions between p...
L´opez-Dahab coordinates are usually the system of choice for implementations of elliptic curves over binary fields. We give new formulas for doubling which need one squaring less and one more...
Gaudry present a variation of index calculus attack for solving the DLP in the Jacobian of hyperelliptic curves. Harley and Th´erialut improve these kind of algorithm. Here, we will present a ...
Recently Tate pairing and its variations are attracted in cryptography. Their operations consist of a main iteration loop and a final exponentiation. The final exponentiation is necessary for gener...

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