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High performance methods of elliptic curve scalar multiplication

Al Saffar, Najlae Falah Hameed and Md. Said, Mohamad Rushdan (2014) High performance methods of elliptic curve scalar multiplication. International Journal of Computer Applications, 108 (20). pp. 39-45. ISSN 0975-8887

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Official URL: http://www.ijcaonline.org/archives/volume108/numbe...

Abstract

Elliptic curve scalar multiplication is the operation of successively adding a point along an elliptic curve to itself k times. It is used in elliptic curve cryptography (ECC) as a means of producing a trapdoor function. In this paper, algorithms to compute the elliptic curve scalar multiplication using a special form for integers will introduce, and then two types of signed digit representation will use. The signed digit form of the scalar is calculated by many types of algorithms such as binary , non adjacent form and direct recoding. The results indicate that the proposed methods perform better to compute the scalar multiplication on elliptic curves and it is more efficient than the existing methods.

Item Type:Article
Keyword:Elliptic curve cryptosystem; Elliptic curve scalar multiplication; Signed digit representation
Faculty or Institute:Institute for Mathematical Research
Publisher:Foundation of Computer Science
DOI Number:10.5120/19028-0047
Altmetrics:http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.5120/19028-0047
ID Code:37858
Deposited By: Nabilah Mustapa
Deposited On:25 Sep 2015 09:46
Last Modified:25 Sep 2015 09:46

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