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