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...
| Main Authors: | , , |
|---|---|
| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
AIP Publishing
2016
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/57643/ 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 |
| _version_ | 1848853423741468672 |
|---|---|
| author | Ali, Nur Adawiah Yunos, Faridah Jamal, Nur Hamizah |
| author_facet | Ali, Nur Adawiah Yunos, Faridah Jamal, Nur Hamizah |
| author_sort | Ali, Nur Adawiah |
| building | UPM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T10:53:44Z |
| format | Conference or Workshop Item |
| id | upm-57643 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:53:44Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-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 |
| 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 |
| title | 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_short | 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 |
| url | http://psasir.upm.edu.my/id/eprint/57643/ http://psasir.upm.edu.my/id/eprint/57643/ 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 |