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Elliptic net scalar multiplication upon Koblitz curves

Elliptic net scalar multiplication (ENSM) is a recent trend in cryptography. The first ENSM was constructed using short Weierstrass's division polynomials over a prime field. However, the ENSM over binary field is unknown. Hence, this study proposes a scalar multiplication via elliptic net upon...

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Main Authors: Muslim, Norliana, Yunos, Faridah, Razali, Zuren, Md Said, Mohamad Rushdan
Format: Article
Language:English
Published: Universiti Putra Malaysia Press 2020
Online Access:http://psasir.upm.edu.my/id/eprint/88783/1/3.%20Norliana%20Muslim.pdf
http://psasir.upm.edu.my/id/eprint/88783/
https://einspem.upm.edu.my/journal/fullpaper/vol14no3/3.%20Norliana%20Muslim.pdf
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spelling my.upm.eprints.887832021-11-03T03:59:35Z http://psasir.upm.edu.my/id/eprint/88783/ Elliptic net scalar multiplication upon Koblitz curves Muslim, Norliana Yunos, Faridah Razali, Zuren Md Said, Mohamad Rushdan Elliptic net scalar multiplication (ENSM) is a recent trend in cryptography. The first ENSM was constructed using short Weierstrass's division polynomials over a prime field. However, the ENSM over binary field is unknown. Hence, this study proposes a scalar multiplication via elliptic net upon Koblitz curves over binary field. The objectives outlined in this study are to investigate the relationships between division polynomials, elliptic divisibility sequences, and two types of Koblitz curve over binary field. Additionally, this study looked into the new relationship established between elliptic net and its scalar multiplication. The explicit formulae for ENSM are proposed and their computational costs of field operations are evaluated and discussed. Universiti Putra Malaysia Press 2020 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/88783/1/3.%20Norliana%20Muslim.pdf Muslim, Norliana and Yunos, Faridah and Razali, Zuren and Md Said, Mohamad Rushdan (2020) Elliptic net scalar multiplication upon Koblitz curves. Malaysian Journal of Mathematical Sciences, 14 (3). 373 - 388. ISSN 1823-8343 https://einspem.upm.edu.my/journal/fullpaper/vol14no3/3.%20Norliana%20Muslim.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 Elliptic net scalar multiplication (ENSM) is a recent trend in cryptography. The first ENSM was constructed using short Weierstrass's division polynomials over a prime field. However, the ENSM over binary field is unknown. Hence, this study proposes a scalar multiplication via elliptic net upon Koblitz curves over binary field. The objectives outlined in this study are to investigate the relationships between division polynomials, elliptic divisibility sequences, and two types of Koblitz curve over binary field. Additionally, this study looked into the new relationship established between elliptic net and its scalar multiplication. The explicit formulae for ENSM are proposed and their computational costs of field operations are evaluated and discussed.
format Article
author Muslim, Norliana
Yunos, Faridah
Razali, Zuren
Md Said, Mohamad Rushdan
spellingShingle Muslim, Norliana
Yunos, Faridah
Razali, Zuren
Md Said, Mohamad Rushdan
Elliptic net scalar multiplication upon Koblitz curves
author_facet Muslim, Norliana
Yunos, Faridah
Razali, Zuren
Md Said, Mohamad Rushdan
author_sort Muslim, Norliana
title Elliptic net scalar multiplication upon Koblitz curves
title_short Elliptic net scalar multiplication upon Koblitz curves
title_full Elliptic net scalar multiplication upon Koblitz curves
title_fullStr Elliptic net scalar multiplication upon Koblitz curves
title_full_unstemmed Elliptic net scalar multiplication upon Koblitz curves
title_sort elliptic net scalar multiplication upon koblitz curves
publisher Universiti Putra Malaysia Press
publishDate 2020
url http://psasir.upm.edu.my/id/eprint/88783/1/3.%20Norliana%20Muslim.pdf
http://psasir.upm.edu.my/id/eprint/88783/
https://einspem.upm.edu.my/journal/fullpaper/vol14no3/3.%20Norliana%20Muslim.pdf
_version_ 1717095411327434752
score 13.211869

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