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- Hassan Daghigh, Somayeh Didari, Ruholla Khodakaramian Gilan
- 2015 12th International Iranian Society of…
- 2015

This paper provides a polynomial time algorithm for finding integer number d such that T = dS in the group of ℚ-rational points on a given elliptic curve E defined over ℚ (ECDLP) where T, S ϵ E (ℚ). In this method, first we determine the biggest integer number n such that S ϵ 2<sup>n</sup>E(ℚ) and then using halving… (More)

- Hassan Daghigh, Amir Mehdi Yazdani Kashani, Ruholla Khodakaramian Gilan
- 2014 11th International ISC Conference on…
- 2014

Following an idea of Benedict H. Gross [2] who presented an elliptic curve test for Mresenne numbers M<sub>k</sub>= 2<sup>k</sup>- 1 we propose a similar test.

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