Efficient Implementations of the Chinese Remainder Theorem for Sign Detection and Residue Decoding
IEEE Transactions on Computers
Computer arithmetic algorithms
Computer arithmetic algorithms
A Novel Division Algorithm for the Residue Number System
IEEE Transactions on Computers - Special issue on computer arithmetic
A Full RNS Implementation of RSA
IEEE Transactions on Computers
Information Sciences: an International Journal
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Lu and Chiang used both the table lookup and fractional number approaches to discover the parity of an RNS number. To eliminate the need for table space and time for computing fractions, a two-moduli set {2^h-1,2^h+1} is used to speed up the technique proposed by Lu and Chiang. Based on this modified two-moduli set, it is found that the parity of an RNS number X=(x"1,x"2) is x"1+x"2mod42 if x"1=x"2. On the contrary, if x"1