The design of high performance elliptic curve cryptographic

In this paper, we propose an elliptic curve cryptographic (ECC) architecture for a lower hardware resource. In our work, the different paths of encryption and decryption could be chosen, and the elliptic curve (EC) is based on GF (2¹⁶³). The EC scalar multiplication is a main operation module that includes add, Montgomery multiplier and inverse in ECC architecture. All modules are organized in a hierarchical structure according to their complexity. In the hardware implementations using a 0.18 mum TSMC cell library, a 69 K gate count is possessed, and the maximum speed is 181 MHz. The EC multiplication time is from 1.26 ms to 2.52 ms. The private key k is a 163-bit random number. If the private key k is chosen to be a small one, the EC multiplication time would be faster.