Table 16 NIST statistical test results for the encrypted Baboon grayscale image. All tests have p-values above the typical significance threshold of 0.01, indicating strong randomness in the encrypted image.
Test | P-value | Result |
|---|---|---|
Frequency | 0.54791 | \(\checkmark\) |
Block Frequency | 0.64582 | \(\checkmark\) |
Rank | 0.29763 | \(\checkmark\) |
Runs | 0.60618 | \(\checkmark\) |
Long Runs of Ones | 0.71684 | \(\checkmark\) |
Overlapping Templates | 0.85972 | \(\checkmark\) |
Non-overlapping Templates | 0.99653 | \(\checkmark\) |
Spectral DFT | 0.19428 | \(\checkmark\) |
Approximate Entropy | 0.82376 | \(\checkmark\) |
Universal | 0.99154 | \(\checkmark\) |
Serial P-values 1 | 0.73491 | \(\checkmark\) |
Serial P-values 2 | 0.93628 | \(\checkmark\) |
Cumulative Sums Forward | 0.22451 | \(\checkmark\) |
Cumulative Sums Reverse | 0.85694 | \(\checkmark\) |
Random Excursions | ||
X = -4 | 0.46892 | \(\checkmark\) |
X = -3 | 0.004381 | \(\checkmark\) |
X = -2 | 0.023641 | \(\checkmark\) |
X = -1 | 0.079216 | \(\checkmark\) |
X = 1 | 0.89765 | \(\checkmark\) |
X = 2 | 0.46738 | \(\checkmark\) |
X = 3 | 0.078912 | \(\checkmark\) |
X = 4 | 0.085342 | \(\checkmark\) |
Random Excursions Variants | ||
X = -5 | 0.16628 | \(\checkmark\) |
X = -4 | 0.29842 | \(\checkmark\) |
X = -3 | 0.47263 | \(\checkmark\) |
X = -2 | 0.63589 | \(\checkmark\) |
X = -1 | 0.83214 | \(\checkmark\) |
X = 1 | 0.40291 | \(\checkmark\) |
X = 2 | 0.33348 | \(\checkmark\) |
X = 3 | 0.51936 | \(\checkmark\) |
X = 4 | 0.58641 | \(\checkmark\) |
X = 5 | 0.40973 | \(\checkmark\) |
