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Fast Chinese Remaindering in Practice

Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 10693)

Abstract

The Chinese remainder theorem is a key tool for the design of efficient multi-modular algorithms. In this paper, we study the case when the moduli \(m_1, \ldots , m_{\ell }\) are fixed and can even be chosen by the user. If \(\ell \) is small or moderately large, then we show how to choose gentle moduli that allow for speedier Chinese remaindering. The multiplication of integer matrices is one typical application where we expect practical gains for various common matrix dimensions and bitsizes of the coefficients.

Keywords

Chinese remainder theorem Algorithm Complexity Integer matrix multiplication 

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Copyright information

© Springer International Publishing AG 2017

Authors and Affiliations

  1. 1.Laboratoire d’informatique, UMR 7161 CNRSPalaiseauFrance

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