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A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula

In this paper, we give an alternative formula of total norms for τ-Adic Non-adjacent Forms (τ-NAF) expansion for an integer n element of ℤ(τ) in Koblitz curve. We apply the geometric series formula to simplify some series involving floor functions in total norms formula. With this approach, we can e...

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Main Authors: Ali, Nur Adawiah, Yunos, Faridah, Jamal, Nur Hamizah
Format: Conference or Workshop Item
Language:English
Published: AIP Publishing 2016
Online Access:http://psasir.upm.edu.my/id/eprint/57643/1/A%20total%20norm%20of%20%CF%84-adic%20non-adjacent%20form%20occurring%20among%20all%20element%20of%20%E2%84%A4%28%CF%84%29%20an%20alternative%20formula.pdf
http://psasir.upm.edu.my/id/eprint/57643/
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spelling my.upm.eprints.576432017-10-24T08:49:10Z http://psasir.upm.edu.my/id/eprint/57643/ A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula Ali, Nur Adawiah Yunos, Faridah Jamal, Nur Hamizah In this paper, we give an alternative formula of total norms for τ-Adic Non-adjacent Forms (τ-NAF) expansion for an integer n element of ℤ(τ) in Koblitz curve. We apply the geometric series formula to simplify some series involving floor functions in total norms formula. With this approach, we can evaluate the total norm by using the length of τ-NAF expansion. AIP Publishing 2016 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57643/1/A%20total%20norm%20of%20%CF%84-adic%20non-adjacent%20form%20occurring%20among%20all%20element%20of%20%E2%84%A4%28%CF%84%29%20an%20alternative%20formula.pdf Ali, Nur Adawiah and Yunos, Faridah and Jamal, Nur Hamizah (2016) A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula. In: 2nd International Conference and Workshop on Mathematical Analysis (ICWOMA 2016), 2-4 Aug. 2016, Langkawi, Malaysia. (pp. 1-8). 10.1063/1.4972146
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 In this paper, we give an alternative formula of total norms for τ-Adic Non-adjacent Forms (τ-NAF) expansion for an integer n element of ℤ(τ) in Koblitz curve. We apply the geometric series formula to simplify some series involving floor functions in total norms formula. With this approach, we can evaluate the total norm by using the length of τ-NAF expansion.
format Conference or Workshop Item
author Ali, Nur Adawiah
Yunos, Faridah
Jamal, Nur Hamizah
spellingShingle Ali, Nur Adawiah
Yunos, Faridah
Jamal, Nur Hamizah
A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
author_facet Ali, Nur Adawiah
Yunos, Faridah
Jamal, Nur Hamizah
author_sort Ali, Nur Adawiah
title A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
title_short A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
title_full A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
title_fullStr A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
title_full_unstemmed A total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
title_sort total norm of τ-adic non-adjacent form occurring among all element of ℤ(τ): an alternative formula
publisher AIP Publishing
publishDate 2016
url http://psasir.upm.edu.my/id/eprint/57643/1/A%20total%20norm%20of%20%CF%84-adic%20non-adjacent%20form%20occurring%20among%20all%20element%20of%20%E2%84%A4%28%CF%84%29%20an%20alternative%20formula.pdf
http://psasir.upm.edu.my/id/eprint/57643/
_version_ 1643836548407361536
score 13.211869

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