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Scalar multiplication via elliptic nets with application to cryptography

The net theory based on elliptic sequences is widely used as a computational tool in cryptographic pairing. The theory of this net is originated from non-linear recurrence relations which also known as elliptic divisibility sequences. In this study, at first we review the history of elliptic net suc...

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Main Authors: Muslim, Norliana, Md Said, Mohamad Rushdan
Format: Article
Language:English
Published: Science Publishing Corporation 2018
Online Access:http://psasir.upm.edu.my/id/eprint/73831/1/SCALAR.pdf
http://psasir.upm.edu.my/id/eprint/73831/
https://www.sciencepubco.com/index.php/ijet/article/view/24685
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spelling my.upm.eprints.738312021-07-15T07:49:39Z http://psasir.upm.edu.my/id/eprint/73831/ Scalar multiplication via elliptic nets with application to cryptography Muslim, Norliana Md Said, Mohamad Rushdan The net theory based on elliptic sequences is widely used as a computational tool in cryptographic pairing. The theory of this net is originated from non-linear recurrence relations which also known as elliptic divisibility sequences. In this study, at first we review the history of elliptic net such as recurrence sequences and elliptic divisibility sequences with the important properties. Next, we address scalar multiplication in elliptic curve cryptography. We further with division polynomials used in the elliptic net and followed by an elliptic net scalar multiplication. Finally, this study stated the future research directions of elliptic net and its scalar multiplication. The findings from this study will help other researchers to explore and to expand recent topics of applied mathematical sequences in cryptography. Science Publishing Corporation 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/73831/1/SCALAR.pdf Muslim, Norliana and Md Said, Mohamad Rushdan (2018) Scalar multiplication via elliptic nets with application to cryptography. International Journal of Engineering and Technology, 7 (3 spec.28). art. no. 24685. 153 - 156. ISSN 2227-524X https://www.sciencepubco.com/index.php/ijet/article/view/24685 10.14419/ijet.v7i3.28.24685
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 The net theory based on elliptic sequences is widely used as a computational tool in cryptographic pairing. The theory of this net is originated from non-linear recurrence relations which also known as elliptic divisibility sequences. In this study, at first we review the history of elliptic net such as recurrence sequences and elliptic divisibility sequences with the important properties. Next, we address scalar multiplication in elliptic curve cryptography. We further with division polynomials used in the elliptic net and followed by an elliptic net scalar multiplication. Finally, this study stated the future research directions of elliptic net and its scalar multiplication. The findings from this study will help other researchers to explore and to expand recent topics of applied mathematical sequences in cryptography.
format Article
author Muslim, Norliana
Md Said, Mohamad Rushdan
spellingShingle Muslim, Norliana
Md Said, Mohamad Rushdan
Scalar multiplication via elliptic nets with application to cryptography
author_facet Muslim, Norliana
Md Said, Mohamad Rushdan
author_sort Muslim, Norliana
title Scalar multiplication via elliptic nets with application to cryptography
title_short Scalar multiplication via elliptic nets with application to cryptography
title_full Scalar multiplication via elliptic nets with application to cryptography
title_fullStr Scalar multiplication via elliptic nets with application to cryptography
title_full_unstemmed Scalar multiplication via elliptic nets with application to cryptography
title_sort scalar multiplication via elliptic nets with application to cryptography
publisher Science Publishing Corporation
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/73831/1/SCALAR.pdf
http://psasir.upm.edu.my/id/eprint/73831/
https://www.sciencepubco.com/index.php/ijet/article/view/24685
_version_ 1706958785504870400
score 13.211869

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