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Recently new Residue Number Systems (RNS) moduli sets have been proposed in order to increase the dynamic range and reduce the width of channels, therefore, reducing the processing time and further exploiting the carry-free characteristic of the modular arithmetic. In this paper we propose improved units for addition, subtraction, and multiplication in RNS for modulo {2^n+-k}. With this work, the...
In this paper Residue Number Systems (RNS) conversion structures from Binary to RNS modulo {2n ± 3} are proposed. These structures are based on arithmetic calculations without the need for Lookup Tables as in the related art. Additionally, the required 4:2 and 3:2 Carry-Save Adders (CSA) modulo {2n ± 3} are also proposed. Experimental results obtained for an ASIC technology suggest that the presented...
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