Abstract. We present a new elliptic curve cryptosystem with fast encryption and key generation, which is provably secure in the standard model. The scheme uses arithmetic modulo n2...
We extend methods of Greenberg and the author to compute in the cohomology of a Shimura curve defined over a totally real field with arbitrary class number. Via the Jacquet-Langlan...
An Artin-Schreier tower over the finite field Fp is a tower of field extensions generated by polynomials of the form Xp − X − α. Following Cantor and Couveignes, we give a...
The efficiency of the core Galois field arithmetic improves the performance of elliptic curve based public key cryptosystem implementation. This paper describes the design and imp...
Let p be a prime and let E(IFp) be an elliptic curve defined over the finite field IFp of p elements. For a given point G E(IFp) the linear congruential genarator on elliptic curv...