Citation
Yunos, Faridah and Mohd Atan, Kamel Ariffin
(2013)
An average density of τ-adic Naf (τ-NAF) representation:
an alternative proof.
Malaysian Journal of Mathematical Sciences, 7 (1).
pp. 111-123.
ISSN 1823-8343
Abstract
In order to improve the efficiency of scalar multiplications on elliptic Koblitz curves, expansions of the scalar to a complex base associated with the Frobenius endomorphism are commonly used. One such expansion is the τ-adic Non Adjacent Form (τ-NAF), introduced by Solinas (1997). Some properties of this expansion, such as the average density, are well known. However in the literature there is no description on the same sequences occuring as length- NAF's and length-l τ-NAF's to proof that the average density is approximately 1/3. In this paper we provide an alternative proof of this fact.
Download File
Official URL or Download Paper: http://einspem.upm.edu.my/journal/volume7.1.php
|
Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Institute for Mathematical Research |
| Publisher: | Universiti Putra Malaysia Press |
| Keywords: | Anomalous binary curves (Koblitz curves); Scalar multiplication; τ-adic non-adjacent form; Norm |
| Depositing User: | Umikalthom Abdullah |
| Date Deposited: | 17 Jun 2014 07:55 |
| Last Modified: | 27 May 2015 01:45 |
| URI: | http://psasir.upm.edu.my/id/eprint/30019 |
| Statistic Details: | View Download Statistic |
Actions (login required)
 |
View Item |