Novel RNS Parameter Selection for Fast Modular Multiplication

Novel RNS Parameter Selection for Fast Modular Multiplication

The parameter selection of Residue Number Systems (RNS) has a great impact on its computational efficiency. This paper shows that a base extension, the most costly operation in RNS Montgomery multiplication, can be more efficient when the intervals between the RNS moduli are small. We propose a syst...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:IEEE transactions on computers 2014-08, Vol.63 (8), p.2099-2105
Hauptverfasser: Yao, Gavin Xiaoxu, Fan, Junfeng, Cheung, Ray C.C., Verbauwhede, Ingrid
Format: Artikel
Sprache:eng
Schlagworte:
Acceleration
Approximation algorithms
base extension
Complexity
Complexity theory
Computational efficiency
Elliptic curve cryptography
Fans
Intervals
Modular
Modular multiplication
Multiplication
residue number system (RNS)
Residue number systems
Systematics
Online-Zugang:Volltext bestellen
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:The parameter selection of Residue Number Systems (RNS) has a great impact on its computational efficiency. This paper shows that a base extension, the most costly operation in RNS Montgomery multiplication, can be more efficient when the intervals between the RNS moduli are small. We propose a systematic RNS parameter selection procedure and two methods to select RNS moduli that lead to a reduced complexity. Our experimental results confirm the advantages of the selected moduli.
ISSN:0018-9340
1557-9956
DOI:10.1109/TC.2013.92