New proof of the generalized Chinese Remainder Theorem

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Parallel computational algorithms for generalized Chinese remainder theorem

Recently, the residue number system (RNS) has been intensively studied. The Chinese remainder theorem (CRT) is a solution to the conversion problem of a number to RNS with a general moduli set. This paper introduces the generalized CRT (GCRT) with parallel algorithms used for the conversion. The GCRT differs from the CRT because it has the advantage of having more applications than does the CRT...

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Chinese Remainder Theorem (CRT) has been widely studied with its applications in frequency estimation, phase unwrapping, coding theory and distributed data storage. Since traditional CRT is greatly sensitive to the errors in residues due to noises, the problem of robustly reconstructing integers via the erroneous residues has been intensively studied in the literature. In order to robustly reco...

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1963

ISSN: 0002-9939

DOI: 10.1090/s0002-9939-1963-0154841-6