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Residue number systems (RNS) represent numbers by their remainders modulo aset of relatively prime numbers. This paper pro- poses an efficient hardwareimplementation of modular multiplication and of the modulo function (X(mod P)),based on Boolean minimiza- tion. We report experiments showing a performanceadvantage up to 30 times for our approach vs. the results obtained bystate-of-art industrial tools.

Hardware realization of residue number system algorithms by Boolean functions minimization