ANTS
2006
Springer
14 years 3 months ago
2006
Springer
We present a general framework for constructing families of elliptic curves of prime order with prescribed embedding degree. We demonstrate this method by constructing curves with ...
ANTS
2006
Springer
14 years 3 months ago
2006
Springer
We describe methods for explicit computation of Galois groups of certain tamely ramified p-extensions. In the finite case this yields a short list of candidates for the Galois grou...
ANTS
2006
Springer
14 years 3 months ago
2006
Springer
Let C be a smooth plane cubic curve with Jacobian E. We give a formula for the action of the 3-torsion of E on C, and explain how it is useful in studying the 3-Selmer group of an ...
ANTS
2006
Springer
14 years 3 months ago
2006
Springer
We show that the locally free class group of an order in a semisimple algebra over a number field is isomorphic to a certain ray class group. This description is then used to prese...
ANTS
2006
Springer
14 years 3 months ago
2006
Springer
For the families ax4 = by4 +z4 +v4 +w4 , a, b = 1, . . . , 100, and ax3 = by3 + z3 + v3 + w3 , a, b = 1, . . . , 100, of projective algebraic threefolds, we test numerically the co...
ANTS
2006
Springer
14 years 3 months ago
2006
Springer
This paper aims at introducing generalized Jacobians as a new candidate for discrete logarithm (DL) based cryptography. The motivation for this work came from the observation that ...