An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form
An algorithm was developed for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo τ-adic Non-Adjacent Form (pseudoTNAF). This expansion is equivalent to τ-adic Non-Adjacent Form (TNAF) and Reduced τ-adic Non-Adjacent Form (RTNAF) that was produce...
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| Format: | Article |
| Language: | English |
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AIP Publishing
2016
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| Online Access: | http://psasir.upm.edu.my/id/eprint/55026/ http://psasir.upm.edu.my/id/eprint/55026/1/An%20even%20and%20odd%20situation%20for%20the%20multiplier%20of%20scalar%20multiplication%20with%20pseudo%20%CF%84-adic%20non-adjacent%20form.pdf |
| _version_ | 1848852695609245696 |
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| author | Mohd Suberi, Syahirah Yunos, Faridah Md Said, Mohd. Rushdan |
| author_facet | Mohd Suberi, Syahirah Yunos, Faridah Md Said, Mohd. Rushdan |
| author_sort | Mohd Suberi, Syahirah |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | An algorithm was developed for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo τ-adic Non-Adjacent Form (pseudoTNAF). This expansion is equivalent to τ-adic Non-Adjacent Form (TNAF) and Reduced τ-adic Non-Adjacent Form (RTNAF) that was produced by Solinas in the year 1997 and 2000 respectively. Some properties for the multiplier of SM was proposed in order to guess the secret message. For the same reason, the objective of this paper is to give five new properties for such multiplier. |
| first_indexed | 2025-11-15T10:42:10Z |
| format | Article |
| id | upm-55026 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:42:10Z |
| publishDate | 2016 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-550262019-04-11T03:12:44Z http://psasir.upm.edu.my/id/eprint/55026/ An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form Mohd Suberi, Syahirah Yunos, Faridah Md Said, Mohd. Rushdan An algorithm was developed for elliptic scalar multiplication (SM) on Koblitz curve where the multiplier of SM is in the form of Pseudo τ-adic Non-Adjacent Form (pseudoTNAF). This expansion is equivalent to τ-adic Non-Adjacent Form (TNAF) and Reduced τ-adic Non-Adjacent Form (RTNAF) that was produced by Solinas in the year 1997 and 2000 respectively. Some properties for the multiplier of SM was proposed in order to guess the secret message. For the same reason, the objective of this paper is to give five new properties for such multiplier. AIP Publishing 2016-06-21 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/55026/1/An%20even%20and%20odd%20situation%20for%20the%20multiplier%20of%20scalar%20multiplication%20with%20pseudo%20%CF%84-adic%20non-adjacent%20form.pdf Mohd Suberi, Syahirah and Yunos, Faridah and Md Said, Mohd. Rushdan (2016) An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form. AIP Conference Proceedings, 1750. pp. 1-9. ISSN 0094-243X; ESSN: 1551-7616 10.1063/1.4954597 |
| spellingShingle | Mohd Suberi, Syahirah Yunos, Faridah Md Said, Mohd. Rushdan An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title | An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title_full | An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title_fullStr | An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title_full_unstemmed | An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title_short | An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| title_sort | even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form |
| url | http://psasir.upm.edu.my/id/eprint/55026/ http://psasir.upm.edu.my/id/eprint/55026/ http://psasir.upm.edu.my/id/eprint/55026/1/An%20even%20and%20odd%20situation%20for%20the%20multiplier%20of%20scalar%20multiplication%20with%20pseudo%20%CF%84-adic%20non-adjacent%20form.pdf |