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Fast Converter for 3 Moduli RNS Using New Property of CRT
August 1999 (vol. 48 no. 8)
pp. 852-860

Abstract—This paper presents a new fast RNS converter for the 3 moduli set of the form $\{2^n-1,2^n,2^n+1 \}$. A new property of the CRT is also presented and this property is used to develop a fast converter for this $3$ moduli set. The resulting implementation is based on carry-save adders and one carry-propagate adder stage, without the need for any look-up tables. The new design is faster and smaller than existing designs.

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Index Terms:
Residue number system (RNS) converter, Chinese remainder theorem (CRT).
Richard Conway, John Nelson, "Fast Converter for 3 Moduli RNS Using New Property of CRT," IEEE Transactions on Computers, vol. 48, no. 8, pp. 852-860, Aug. 1999, doi:10.1109/12.795127
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