Elliptic Curve Cryptosystems And Its Application

ECC can provide high security. Under the same security level, ECC has smaller key and lesser consurne(computation, memory, bandwith and power needed), so it is ideal in constrained systems.In this paper, the author primarily introduce elliptic curve cryptosystems. selection of secure elliptic curve, implementation of ECC and its use in e-cash system. The work the author has done is:1. selection of secure elliptic curves, implementation of ElGamal encrytion and signature over big prime field;2. FPGA implementation of point multiplication;3. at last put forward two blind signature based on ECC , Nyberg-Rueppel blind scheme and DSA blind scheme, these two schemes can be used in e-cash svstems.