Title

Generating Residue Number System Bases

Publication Name

Proceedings - Symposium on Computer Arithmetic

Abstract

Residue number systems provide efficient techniques for speeding up calculations and/or protecting against side channel attacks when used in the context of cryptographic engineering. One of the interests of such systems is their scalability, as the existence of large bases for some specialized systems is often an open question. In this paper, we present highly optimized methods for generating large bases for residue number systems and, in some cases, the largest possible bases. We show their efficiency by demonstrating their improvement over the state-of-The-Art bases reported in the literature. This work make it possible to address the problem of the scalability issue of finding new bases for a specific system that arises whenever a parameter changes, and possibly open new application avenues.

Open Access Status

This publication may be available as open access

Volume

2021-June

First Page

86

Last Page

93

Funding Number

15-CE39-0002-01

Funding Sponsor

Agence Nationale de la Recherche

Share

COinS
 

Link to publisher version (DOI)

http://dx.doi.org/10.1109/ARITH51176.2021.00027