Abstract
Recently, a lot of progress has been made in the implementation of asymmetric cryptography such that RSA or ECC (Elliptic Curve Cryptography) in both hardware and software. The Residue Number Systems (RNS) offer, many features make it very useful in cryptographic applications. Since the modular multiplication is the main operation, in this paper, we describe a Montgomery modular multiplication algorithm based on RNS. Then we implemented our design in TM i3 CPU, it computed the modular multiplication in only 9 ms (latency) and achieving maximum throughput of 528.