English

Fast Arithmetics Using Chinese Remaindering

Data Structures and Algorithms 2008-06-11 v1

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 NC1^1 division algorithm of Chiu, Davida and Litow \cite{Chiu-Davida-Litow} is given, where the number of moduli is reduced by a factor of logn\log n.

Keywords

Cite

@article{arxiv.0806.1722,
  title  = {Fast Arithmetics Using Chinese Remaindering},
  author = {George Davida and Bruce Litow and Guangwu Xu},
  journal= {arXiv preprint arXiv:0806.1722},
  year   = {2008}
}
R2 v1 2026-06-21T10:49:17.947Z