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Advances, Systems and Applications

Table 2 Axb mod 251 with parameters f(m)=m−1,g(n)=n−1 (Continue with Table 1, unit:s)

From: Publicly verifiable and efficiency/security-adjustable outsourcing scheme for solving large-scale modular system of linear equations

 

Problem Size

tclient

ttotall(Σ)

toriginal

\(\frac {t_{\text {original}}}{t_{\text {client}}}\)

\(\frac {t_{\text {original}}}{t_{\mathrm {totall(\Sigma)}}}\)

1

450 ×500

0.08537835

0.88115298

1.40008

16.40

1.5889

2

950 ×1000

0.19131355

6.4106389

10.5693

55.25

1.6487

3

1450 ×1500

0.4239102

21.2254098

36.6499

86.46

1.7267

4

1950 ×2000

0.721977

50.0579659

86.9538

120.44

1.7371

5

2450 ×2500

1.3051008

96.3691081

169.814

130.12

1.7621

6

2950 ×3000

1.7640746

163.058229

293.245

166.23

1.7984