Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication
Elliptic Net is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Malaysian Society for Cryptology Research
2018
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| Online Access: | http://psasir.upm.edu.my/id/eprint/72828/ http://psasir.upm.edu.my/id/eprint/72828/1/Generalizing%20equivalent%20elliptic%20divisibility%20sequence%20for%20elliptic%20net%20scalar%20multiplication.pdf |
| _version_ | 1848857212420620288 |
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| author | Muslim, Norliana Md. Said, Mohamad Rushdan |
| author_facet | Muslim, Norliana Md. Said, Mohamad Rushdan |
| author_sort | Muslim, Norliana |
| building | UPM Institutional Repository |
| collection | Online Access |
| description | Elliptic Net is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining the new generalization with a few restrictions on the initial value, the paper further proposes and discusses an elliptic net scalar multiplication of rank one for Weistrass equation and non-singular elliptic curve. |
| first_indexed | 2025-11-15T11:53:58Z |
| format | Article |
| id | upm-72828 |
| institution | Universiti Putra Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T11:53:58Z |
| publishDate | 2018 |
| publisher | Malaysian Society for Cryptology Research |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | upm-728282021-03-13T21:51:25Z http://psasir.upm.edu.my/id/eprint/72828/ Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication Muslim, Norliana Md. Said, Mohamad Rushdan Elliptic Net is a powerful method to compute cryptographic pairings or scalar multiplication. The elliptic net rank one originated from the nonlinear recurrence relations, also known as the elliptic divisibility sequence. In this paper, a generalization of equivalent sequences is defined. Combining the new generalization with a few restrictions on the initial value, the paper further proposes and discusses an elliptic net scalar multiplication of rank one for Weistrass equation and non-singular elliptic curve. Malaysian Society for Cryptology Research 2018 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/72828/1/Generalizing%20equivalent%20elliptic%20divisibility%20sequence%20for%20elliptic%20net%20scalar%20multiplication.pdf Muslim, Norliana and Md. Said, Mohamad Rushdan (2018) Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication. International Journal of Cryptology Research, 8 (2). pp. 11-23. ISSN 0933-2790 https://www.mscr.org.my/journal/journal-volume |
| spellingShingle | Muslim, Norliana Md. Said, Mohamad Rushdan Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title | Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title_full | Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title_fullStr | Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title_full_unstemmed | Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title_short | Generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| title_sort | generalizing equivalent elliptic divisibility sequence for elliptic net scalar multiplication |
| url | http://psasir.upm.edu.my/id/eprint/72828/ http://psasir.upm.edu.my/id/eprint/72828/ http://psasir.upm.edu.my/id/eprint/72828/1/Generalizing%20equivalent%20elliptic%20divisibility%20sequence%20for%20elliptic%20net%20scalar%20multiplication.pdf |