Residue number systems (RNS) represent numbers by their remainders modulo a set of relatively prime numbers. This paper proposes an efficient hardware implementation of modular multiplication and of the modulo function (X(mod P)), based on Boolean minimization. We report experiments showing a performance advantage up to 30 times for our approach vs. the results obtained by state-of-the-art industrial tools.
Efficient Hardware Operations for the Residue Number System by Boolean Minimization
Tiziano Villa
2019-01-01
Abstract
Residue number systems (RNS) represent numbers by their remainders modulo a set of relatively prime numbers. This paper proposes an efficient hardware implementation of modular multiplication and of the modulo function (X(mod P)), based on Boolean minimization. We report experiments showing a performance advantage up to 30 times for our approach vs. the results obtained by state-of-the-art industrial tools.
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