Simultaneous conversions with the Residue Number System using linear algebra - LIRMM - Laboratoire d’Informatique, de Robotique et de Microélectronique de Montpellier Access content directly
Journal Articles ACM Transactions on Mathematical Software Year : 2018

Simultaneous conversions with the Residue Number System using linear algebra

Pascal Giorgi
Romain Lebreton
Éric Schost
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Abstract

We present an algorithm for simultaneous conversion between a given set of integers and their Residue Number System representations based on linear algebra. We provide a highly optimized implementation of the algorithm that exploits the computational features of modern processors. The main application of our algorithm is matrix multiplication over integers. Our speed-up of the conversions to and from the Residue Number System significantly improves the overall running time of matrix multiplication.
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Dates and versions

lirmm-01415472 , version 1 (13-12-2016)
lirmm-01415472 , version 2 (09-02-2018)

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Javad Doliskani, Pascal Giorgi, Romain Lebreton, Éric Schost. Simultaneous conversions with the Residue Number System using linear algebra. ACM Transactions on Mathematical Software, 2018, 44 (3), pp.#27. ⟨10.1145/3145573⟩. ⟨lirmm-01415472v2⟩
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