Highly parallel modular multiplication in the residue number system using sum of residues reduction

A new algorithm for modular multiplication in the residue number system (RNS) is presented. Modular reduction is performed using a sum of residues. As all of the residues can be evaluated simultaneously, the algorithm permits a highly parallel implementation and is suitable for performing public-key cryptography operations with very low latency.Braden J. Phillips, Yinan Kong and Zhining Li