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Cryptanalysis of the Tillich-Z´emor hash function
Cryptanalysis Tillich-Z´ emor hash function
2009/8/7
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...
Improvement of Th´eriault Algorithm of Index Calculus for Jacobian of Hyperelliptic Curves of Small Genus
calculus attack Jacobian Hyperelliptic curve
2009/3/27
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 ...
Some Efficient Algorithms for the Final Exponentiation of ´T Pairing
Tate pairing ´ T pairing final exponentiation
2009/1/4
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...