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...
| Main Authors: | , , |
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| Format: | Conference or Workshop Item |
| Language: | English |
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AIP Publishing
2015
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| Online Access: | http://psasir.upm.edu.my/id/eprint/57388/ http://psasir.upm.edu.my/id/eprint/57388/1/An%20even%20and%20odd%20situation%20for%20the%20multiplier%20of%20scalar%20multiplication%20with%20pseudo%20%CF%84-adic%20non-adjacent%20form.pdf |
| _version_ | 1848853352366997504 |
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| author | Mohd Suberi, Syahirah Yunos, Faridah Md. Said, Mohamad Rushdan |
| author_facet | Mohd Suberi, Syahirah Yunos, Faridah Md. Said, Mohamad 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 | 2025-11-15T10:52:36Z |
| format | Conference or Workshop Item |
| id | upm-57388 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T10:52:36Z |
| publishDate | 2015 |
| publisher | AIP Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-573882017-09-27T07:03:31Z http://psasir.upm.edu.my/id/eprint/57388/ 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, Mohamad 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 2015 Conference or Workshop Item PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/57388/1/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, Mohamad Rushdan (2015) An even and odd situation for the multiplier of scalar multiplication with pseudo τ-adic non-adjacent form. In: 23rd Malaysian National Symposium of Mathematical Sciences (SKSM23), 24-26 Nov. 2015, Johor Bahru, Malaysia. (pp. 1-8). 10.1063/1.4954597 |
| spellingShingle | Mohd Suberi, Syahirah Yunos, Faridah Md. Said, Mohamad 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/57388/ http://psasir.upm.edu.my/id/eprint/57388/ http://psasir.upm.edu.my/id/eprint/57388/1/An%20even%20and%20odd%20situation%20for%20the%20multiplier%20of%20scalar%20multiplication%20with%20pseudo%20%CF%84-adic%20non-adjacent%20form.pdf |