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arXiv · 0806.1722

Fast Arithmetics Using Chinese Remaindering

George Davida·Bruce Litow·Guangwu Xu
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Abstract

In this paper, some issues concerning the Chinese remaindering representation are discussed. Some new converting methods, including an efficient probabilistic algorithm based on a recent result of von zur Gathen and Shparlinski \cite{Gathen-Shparlinski}, are described. An efficient refinement of the NC$^1$ division algorithm of Chiu, Davida and Litow \cite{Chiu-Davida-Litow} is given, where the number of moduli is reduced by a factor of $\log n$.

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George Davida, Bruce Litow, Guangwu Xu. 2008-06-10. Fast Arithmetics Using Chinese Remaindering. https://arxiv.org/abs/0806.1722

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