Citation
Al-Daoud, E. and Mahmod, R. and Rushdan, M. and Kilicman, A.
(2002)
A new addition formula for elliptic curves over GF(2/sup n/).
IEEE Transactions on Computers, 51 (8).
pp. 972-975.
ISSN 0018-9340; eISSN: 1557-9956
Abstract
In this paper, we propose a new addition formula in projective coordinates for elliptic curves over GF(2n). The new formula speeds up the elliptic curve scalar multiplication by reducing the number of field multiplications. This was achieved by rewriting the elliptic curve addition formula. The complexity analysis shows that the new addition formula speeds up the addition in projective coordinates by about 10-2 percent, which leads to enhanced scalar multiplication methods for random and Koblitz curves.
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Official URL or Download Paper: https://ieeexplore.ieee.org/document/1024743/
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Universiti Putra Malaysia |
| DOI Number: | https://doi.org/10.1109/tc.2002.1024743 |
| Publisher: | Institute of Electrical and Electronics Engineers |
| Keywords: | Projective Coordinates for Elliptic Curves over GF(2n); Elliptic Curve Scalar Multiplication; Elliptic Curve Addition Formula; Polynomial Basis Representation; Weierstrass Equations with a-coefficients; Koblitz Curves |
| Depositing User: | Ms. Zaimah Saiful Yazan |
| Date Deposited: | 19 Feb 2025 00:07 |
| Last Modified: | 19 Feb 2025 00:07 |
| Altmetrics: | http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1109/tc.2002.1024743 |
| URI: | http://psasir.upm.edu.my/id/eprint/112493 |
| Statistic Details: | View Download Statistic |
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