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Advances, Systems and Applications

Table 6 Axb mod 12289 with parameters f(m)=m−1,g(n)=n−1 (Continue with Table 5,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

0.07324724

0.88776956

1.40402

19.17

1.5815

2

950 ×1000

0.18892312

6.25008383

11.121

58.87

1.7793

3

1450 ×1500

0.4271428

20.7365561

37.3979

87.56

1.803

4

1950 ×2000

0.7243426

49.021746

89.3161

123.31

1.821

5

2450 ×2500

1.2523786

97.1186932

172.927

138.08

1.7806

6

2950 ×3000

1.7687248

162.849527

299.213

169.17

1.83736