An RNS modular multiplication algorithm

Dimitris Schinianakis, Thanos Stouraitis · 2013

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%.

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