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Table 3 Comparison of the relation search with systems having no solution

From: Improvement of FPPR method to solve ECDLP

m = 3

 

n

n’

sol:no

   

D reg

t trans

t groe

mem

FPPR

23

3

6

6.18

0.12

32.25

ThisWork

23

3

3

0.97

0.14

16.68

FPPR

31

3

5

8.38

0.06

46.33

ThisWork

31

3

3

1.30

0.04

18.87

FPPR

41

3

6

11.17

0.06

61.70

ThisWork

41

3

3

1.75

0.05

22.60

FPPR

53

3

5

14.57

0.07

81.22

ThisWork

53

3

2

2.28

0.04

27.52

FPPR

23

4

6

22.31

4.67

91.23

ThisWork

23

4

3

1.81

1.72

22.75

FPPR

31

4

6

30.19

1.56

142.69

ThisWork

31

4

3

2.48

1.24

29.22

FPPR

41

4

6

39.80

0.84

201.77

ThisWork

41

4

3

3.33

0.56

35.49

FPPR

53

4

6

52.26

0.37

279.83

ThisWork

53

4

3

4.36

0.46

42.63

FPPR

23

5

7

65.07

55.75

381.39

ThisWork

23

5

4

3.07

17.83

253.16

FPPR

31

5

7

85.50

53.56

410.47

ThisWork

31

5

4

4.13

20.98

279.23

FPPR

41

5

7

114.09

69.12

930.24

ThisWork

41

5

3

5.34

8.53

58.99

FPPR

53

5

6

150.41

23.31

814.76

ThisWork

53

5

3

6.96

1.36

59.91

FPPR

23

6

7

156.11

3309.43

5025.06

ThisWork

23

6

4

4.42

3082.15

4428.07

FPPR

31

6

7

206.29

1205.29

7276.85

ThisWork

31

6

4

6.09

1049.14

2616.21

FPPR

41

6

7

266.44

653.92

3062.68

ThisWork

41

6

4

8.31

87.61

896.38

FPPR

53

6

7

359.03

1857.65

6677.92

ThisWork

53

6

3

10.70

31.21

151.02