Fault-Tolerant Modular Reconstruction of Rational Numbers
Abstract
In this paper we present two efficient methods for reconstructing a rational number from several residue-modulus pairs, some of which may be incorrect. One method is a natural generalization of that presented by Wang, Guy and Davenport in WGD1982 (for reconstructing a rational number from correct modular images), and also of an algorithm presented in Abb1991 for reconstructing an integer value from several residue-modulus pairs, some of which may be incorrect.
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