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Advances, Systems and Applications

Table 8 Axb mod 12289 with parameters f(m)=2m−3,g(n)=2n−3 (Continue with Table 7, 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

0.11064548

0.91495163

1.40206

12.67

1.5324

2

950 ×1000

0.36117886

6.47387957

11.0904

30.71

1.7131

3

1450 ×1500

0.8101706

21.1000357

37.5176

46.31

1.7781

4

1950 ×2000

1.4089491

50.4331731

88.3165

62.68

1.7511

5

2450 ×2500

2.4429742

97.4968972

172.665

70.68

1.771

6

2950 ×3000

3.3975096

164.558702

298.048

87.73

1.8112