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Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence

Elliptic Net is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining...

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Main Authors: Muslim, Norliana, Md. Said, Mohamad Rushdan
Format: Conference or Workshop Item
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2018
Online Access:http://psasir.upm.edu.my/id/eprint/66524/1/Cryptology2018-1.pdf
http://psasir.upm.edu.my/id/eprint/66524/
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spelling my.upm.eprints.665242019-03-03T23:55:37Z http://psasir.upm.edu.my/id/eprint/66524/ Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence Muslim, Norliana Md. Said, Mohamad Rushdan Elliptic Net is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining the new generalization with a few restrictions on the initial value, the paper further proposes and discusses an elliptic net scalar multiplication of rank one for Weistrass equation and non-singular elliptic curve. Institute for Mathematical Research, Universiti Putra Malaysia 2018 Conference or Workshop Item PeerReviewed text en http://psasir.upm.edu.my/id/eprint/66524/1/Cryptology2018-1.pdf Muslim, Norliana and Md. Said, Mohamad Rushdan (2018) Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence. In: 6th International Cryptology and Information Security Conference 2018 (CRYPTOLOGY2018), 9-11 July 2018, Port Dickson, Negeri Sembilan, Malaysia. (pp. 19-25).
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 is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining the new generalization with a few restrictions on the initial value, the paper further proposes and discusses an elliptic net scalar multiplication of rank one for Weistrass equation and non-singular elliptic curve.
format Conference or Workshop Item
author Muslim, Norliana
Md. Said, Mohamad Rushdan
spellingShingle Muslim, Norliana
Md. Said, Mohamad Rushdan
Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
author_facet Muslim, Norliana
Md. Said, Mohamad Rushdan
author_sort Muslim, Norliana
title Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
title_short Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
title_full Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
title_fullStr Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
title_full_unstemmed Elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
title_sort elliptic net scalar multiplication using generalized equivalent elliptic divisibility sequence
publisher Institute for Mathematical Research, Universiti Putra Malaysia
publishDate 2018
url http://psasir.upm.edu.my/id/eprint/66524/1/Cryptology2018-1.pdf
http://psasir.upm.edu.my/id/eprint/66524/
_version_ 1643838632445870080
score 13.211869

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