Citation
Hadani, Nurul Hafizah and Yunos, Faridah and Kamel Ariffin, Muhammad Rezal and Sapar, Siti Hasana and Nek Abd Rahman, Normahirah
(2019)
Alternative method to find the number of points on Koblitz curve.
Malaysian Journal of Mathematical Sciences, 13 (spec. Aug.).
pp. 13-30.
ISSN 1823-8343; ESSN: 2289-750X
Abstract
A Koblitz curve Ea is defined over field F2m. Let τ = (-1)1-a+√-7/2 where a ∈ {0, 1} denotes the Frobenius endomorphism from the set E(F2m) to itself. It can be used to improve the performance of computing scalar multiplication on Koblitz Curves. In this paper, another version of formula for τ m = rm + smτ where rm and sm are integers is introduced. Through this approach, we discover an alternative method to find the number of points through the curve Ea.
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Official URL or Download Paper: http://einspem.upm.edu.my/journal/fullpaper/vol13s...
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Additional Metadata
| Item Type: | Article |
|---|---|
| Divisions: | Faculty of Science Institute for Mathematical Research |
| Publisher: | Institute for Mathematical Research, Universiti Putra Malaysia |
| Notes: | Special Issue: The 6th International Cryptology and Information Security Conference (CRYPTOLOGY2018) |
| Keywords: | Koblitz curve; Scalar multiplication; Frobenius endomorphism; Elliptic curve cryptosystem; Number of points |
| Depositing User: | Nabilah Mustapa |
| Date Deposited: | 04 Feb 2020 04:09 |
| Last Modified: | 04 Feb 2020 04:09 |
| URI: | http://psasir.upm.edu.my/id/eprint/76372 |
| Statistic Details: | View Download Statistic |
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