16th IEEE Symposium on Computer Arithmetic (ARITH-16 '03)
Scaling an RNS Number Using the Core Function
Santiago de Compostela, Spain
June 15-June 18
ISBN: 0-7695-1894-X
This paper introduces a method for extracting the core of a Residue Number System (RNS) number within the RNS, this affording a new method for scaling RNS numbers. Suppose an RNS comprises a set of co-prime moduli, mi, with \prod {m_i } = M. This paper describes a method for approximately scaling such an RNS number by a subset of the moduli, \prod {m_j } = M_j \approx \sqrt M, with the characteristic that all computations are performed using the original moduli and one other non-maintained short wordlength modulus.