Table 2 NIST test results.

From: A lightweight multi round confusion-diffusion cryptosystem for securing images using a modified 5D chaotic system

No

Type of test

P value

Conclusion

1

Frequency test (monobit)

0.6326502050386464

Random

2

Frequency test within a block

0.3132675930111212

Random

3

Run test

0.26281103127028804

Random

4

Longest run of ones in a block

0.6100305089456537

Random

5

Binary matrix rank test

0.7728446477849531

Random

6

Discrete fourier transform (spectral) test

0.659590791427404

Random

7

Non-overlapping template matching test

0.5579675671836456

Random

8

Overlapping template matching test

0.058492039130392075

Random

9

Maurer’s universal statistical test

0.9578043118723146

Random

10

Linear complexity test

0.06822107775129024

Random

11

Serial test

0.09063711502208262

Random

0.2279965495409031

Random

12

Approximate entropy test

0.16342628009051988

Random

13

Cummulative sums (forward) test

0.47598695982883577

Random

14

Cummulative sums (reverse) test

0.806686397335922

Random

15

Random excursions test:

 

State

Chi squared

P value

Conclusion

 

 − 4

2.708034400504492

0.7448893399207672

Random

 

 − 3

2.289710344827586

0.031026641907626804

Random

 

 − 2

10.467703858508456

0.06301715716571302

Random

 

 − 1

8.949843260188088

0.11108154316939484

Random

 

 + 1

4.015673981191222

0.5471614935196246

Random

 

 + 2

9.185301288749564

0.1018974868657128

Random

 

 + 3

12.041434482758623

0.03422442210762175

Random

 

 + 4

14.640335335720877

0.012014923404003137

Random

16

Random excursions variant test:

 

State

Counts

P value

Conclusion

 

 − 9.0

362

0.6796877019021097

Random

 

 − 8.0

334

0.878135773535464

Random

 

 − 7.0

322

0.973721488445495

Random

 

 − 6.0

298

0.8020646815134346

Random

 

 − 5.0

286

0.6632037695651256

Random

 

 − 4.0

280

0.5594985352899394

Random

 

 − 3.0

294

0.6580305640790922

Random

 

 − 2.0

302

0.6975885118672047

Random

 

 − 1.0

301

0.47607670840662175

Random

 

 + 1.0

363

0.08151252467043998

Random

 

 + 2.0

456

0.0017392781098894256

Non-random

 

 + 3.0

511

0.000675268789706703

Non-random

 

 + 4.0

542

0.0008471300999453507

Non-random

 

 + 5.0

552

0.0021060648501195775

non-random

 

 + 6.0

473

0.06601967502129268

Random

 

 + 7.0

384

0.4753968053711022

Random

 

 + 8.0

349

0.7590977958297784

Random

 

 + 9.0

303

0.877898928289632

Random