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Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form

Nowadays, elliptic curve based cryptosystem is an efficient public key cryptosystem, The very expensive operation in this cryptographic protocol is the elliptic curve scalar multiplication (elliptic curve point multiplication). Efforts have been mainly focused on developing efficient algorithms for...

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Main Authors: Al Saffar, Najlae Falah Hameed, Md Said, Mohamad Rushdan
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2015
Online Access:http://psasir.upm.edu.my/id/eprint/38953/1/38953.pdf
http://psasir.upm.edu.my/id/eprint/38953/
http://einspem.upm.edu.my/journal/fullpaper/vol9/7.%20najlae.pdf
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spelling my.upm.eprints.389532015-09-04T13:51:43Z http://psasir.upm.edu.my/id/eprint/38953/ Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form Al Saffar, Najlae Falah Hameed Md Said, Mohamad Rushdan Nowadays, elliptic curve based cryptosystem is an efficient public key cryptosystem, The very expensive operation in this cryptographic protocol is the elliptic curve scalar multiplication (elliptic curve point multiplication). Efforts have been mainly focused on developing efficient algorithms for representing the scalar which is involved of elliptic curve scalar multiplication. One of these is using the window- w non adjacent form method. In the present work, the accelerating elliptic curve scalar multiplication using the window- w non adjacent form method is proposed, where the number of operations in the elliptic curve scalar multiplication has been reduced. The expected gain is about 20%, 14% and 7.6% comparing with using the anther methods to compute the elliptic curve scalar multiplication. 20%. Institute for Mathematical Research, Universiti Putra Malaysia 2015-01 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/38953/1/38953.pdf Al Saffar, Najlae Falah Hameed and Md Said, Mohamad Rushdan (2015) Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form. Malaysian Journal of Mathematical Sciences, 9 (1). pp. 91-110. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol9/7.%20najlae.pdf
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description Nowadays, elliptic curve based cryptosystem is an efficient public key cryptosystem, The very expensive operation in this cryptographic protocol is the elliptic curve scalar multiplication (elliptic curve point multiplication). Efforts have been mainly focused on developing efficient algorithms for representing the scalar which is involved of elliptic curve scalar multiplication. One of these is using the window- w non adjacent form method. In the present work, the accelerating elliptic curve scalar multiplication using the window- w non adjacent form method is proposed, where the number of operations in the elliptic curve scalar multiplication has been reduced. The expected gain is about 20%, 14% and 7.6% comparing with using the anther methods to compute the elliptic curve scalar multiplication. 20%.
format Article
author Al Saffar, Najlae Falah Hameed
Md Said, Mohamad Rushdan
spellingShingle Al Saffar, Najlae Falah Hameed
Md Said, Mohamad Rushdan
Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
author_facet Al Saffar, Najlae Falah Hameed
Md Said, Mohamad Rushdan
author_sort Al Saffar, Najlae Falah Hameed
title Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
title_short Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
title_full Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
title_fullStr Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
title_full_unstemmed Speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
title_sort speeding up the elliptic curve scalar multiplication using the window- w non adjacent form
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2015
url http://psasir.upm.edu.my/id/eprint/38953/1/38953.pdf
http://psasir.upm.edu.my/id/eprint/38953/
http://einspem.upm.edu.my/journal/fullpaper/vol9/7.%20najlae.pdf
_version_ 1643832282469892096
score 13.211869

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