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Table 4 Comparison of ECDLP (m = 3, n’ = 3)

From: Improvement of FPPR method to solve ECDLP

n

# E α , β

FPPR (sec)

ThisWork (sec)

7

4*37

1.574

0.864

11

4*523

8.625

6.702

13

4*2089

49.698

31.058

17

4*32941

2454.470

1364.742

19

4*131431

22474.450

9962.861

23

4*2098553

N/A

66703.400

29

4*134229259

N/A

2953043.698

  1. *It is the product symbol which denoted the order of the EC group.