Title :
An RNS modular multiplication algorithm
Author :
Schinianakis, Dimitrios ; Stouraitis, Thanos
Author_Institution :
Dept. of Electr. & Comput. Eng., Univ. of Patras, Rion, Greece
Abstract :
An RNS implementation of Barrett´s modular multiplication algorithm is presented in this paper. Existing algorithms for RNS modular multiplication employ Montgomery´s technique. An algorithmic comparison with such state-of-the-art solutions shows that the proposed algorithm may reduce the total number of modular multiplications per RNS modular multiplication by 33%-50%.
Keywords :
residue number systems; Barrett modular multiplication algorithm; Montgomery technique; RNS modular multiplication algorithm; residue number system; Circuits and systems; Complexity theory; Computer architecture; Context; Cryptography; Elliptic curves; Europe;
Conference_Titel :
Electronics, Circuits, and Systems (ICECS), 2013 IEEE 20th International Conference on
Conference_Location :
Abu Dhabi
DOI :
10.1109/ICECS.2013.6815571