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Table 2 Comparison of experimental and theoretical value of MGR and EE

From: An efficient histogram-preserving steganography based on block

l

MGR actual

\( \mathrm{MGR}\left(\ \frac{C_{2m}^m}{2^{2m}}\right) \) theoretical

\( \mathrm{MGR}\left(\frac{1}{\ \sqrt{\pi m}}\right) \) approximate

EE actual

EE theoretical

2

0.5001

0.5000

0.5642

2.0162

2.0000

3

0.5000

0.5000

0.5642

2.4000

2.4000

4

0.3751

0.3750

0.3989

2.2931

2.2857

5

0.3751

0.3750

0.3989

2.4239

2.4242

6

0.3127

0.3125

0.3257

2.3462

2.3415

7

0.3126

0.3125

0.3257

2.4088

2.4086

8

0.2735

0.2734

0.2821

2.3515

2.3486

9

0.2735

0.2734

0.2821

2.3877

2.3876

10

0.2461

0.2461

0.2523

2.3444

2.3422

11

0.2462

0.2461

0.2523

2.3677

2.3674

12

0.2258

0.2256

0.2303

2.3334

2.3317

13

0.2257

0.2256

0.2303

2.3496

2.3492

14

0.2094

0.2095

0.2132

2.3213

2.3203

15

0.2096

0.2095

0.2132

2.3335

2.3332