Even and odd nature for Pseudo τ-adic Non-Adjacent form
An algorithm was developed by previous researcher for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo -adic Non-Adjacent (pseudoTNAF). PseudoTNAF of an element of the ring Z ) where is an expansion where the digits are generated by successi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Faculty of Science, University of Malaya
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72650/ http://psasir.upm.edu.my/id/eprint/72650/1/Even%20and%20odd%20nature%20for%20Pseudo%20%CF%84-adic%20Non-Adjacent%20form.pdf |
| _version_ | 1848857170061295616 |
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| author | Yunos, Faridah Mohd Suberi, Syahirah |
| author_facet | Yunos, Faridah Mohd Suberi, Syahirah |
| author_sort | Yunos, Faridah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | An algorithm was developed by previous researcher for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo -adic Non-Adjacent (pseudoTNAF). PseudoTNAF of an element of the ring Z ) where is an expansion where the digits are generated by successively dividing by , allowing remainders of , 0 or 1. Such a multiplier is in the form of . In this paper, we refine some properties of the multiplier from previous researchers focusing on even and odd situation for and . We also propose two properties of when is even and is odd. As a result, the nature of and are depends on the nature of and when is even. Whereas, the nature of and are not depends on the nature of and when is odd. |
| first_indexed | 2025-11-15T11:53:17Z |
| format | Article |
| id | upm-72650 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:17Z |
| publishDate | 2018 |
| publisher | Faculty of Science, University of Malaya |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-726502020-11-20T15:25:27Z http://psasir.upm.edu.my/id/eprint/72650/ Even and odd nature for Pseudo τ-adic Non-Adjacent form Yunos, Faridah Mohd Suberi, Syahirah An algorithm was developed by previous researcher for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo -adic Non-Adjacent (pseudoTNAF). PseudoTNAF of an element of the ring Z ) where is an expansion where the digits are generated by successively dividing by , allowing remainders of , 0 or 1. Such a multiplier is in the form of . In this paper, we refine some properties of the multiplier from previous researchers focusing on even and odd situation for and . We also propose two properties of when is even and is odd. As a result, the nature of and are depends on the nature of and when is even. Whereas, the nature of and are not depends on the nature of and when is odd. Faculty of Science, University of Malaya 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72650/1/Even%20and%20odd%20nature%20for%20Pseudo%20%CF%84-adic%20Non-Adjacent%20form.pdf Yunos, Faridah and Mohd Suberi, Syahirah (2018) Even and odd nature for Pseudo τ-adic Non-Adjacent form. Malaysian Journal of Science, 37 (2). 94 - 102. ISSN 1394-3065; ESSN: 2600-8688 https://mjs.um.edu.my/article/view/15508 |
| spellingShingle | Yunos, Faridah Mohd Suberi, Syahirah Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title | Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title_full | Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title_fullStr | Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title_full_unstemmed | Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title_short | Even and odd nature for Pseudo τ-adic Non-Adjacent form |
| title_sort | even and odd nature for pseudo τ-adic non-adjacent form |
| url | http://psasir.upm.edu.my/id/eprint/72650/ http://psasir.upm.edu.my/id/eprint/72650/ http://psasir.upm.edu.my/id/eprint/72650/1/Even%20and%20odd%20nature%20for%20Pseudo%20%CF%84-adic%20Non-Adjacent%20form.pdf |