Residue number systems: a key to parallelism in public key cryptography

Abstract

Public key cryptography and parallel algorithms are considered. Special attention is paid to algorithms using long integer modulo arithmetic. A modification of the commonly known RSA algorithm is taken as a candidate. So far all implementations have been more or less sequential in the sense that no partitions of a long integer among various processing elements have been performed. The proposed approach allows the use of a dedicated processor for each group of about 30 to 50 bits of a long integer. Efficiency is primarily gained when special-purpose processors are used. In this regard this work is the basis of a VLSI approach to a multiprocessor-based cryptographic design with 15 to 100 processors involved.<>