Abstract
Elliptic Curve Cryptography has gained much attention in recent years. It has smaller key length than RSA with the same level of security. In this thesis, we propose a high performance, low power elliptic curve cryptography processor over GF(2^163).We adopt Lopez-Dahab Montgomery scalar multiplication algorithm to avoid the inverse operation. By optimizing circuit implementation, we can obtain very competitive results. In regard to Elliptic curve cryptography, our ECC processor can complete one scalar multiplication in 6.4μs with TSMC 130 nm technology. In regard to RFID, our ECC processor consumes 8.1μw with TSMC 180 nm technology.