Research Article
Finite Precision Logistic Map between Computational Efficiency and Accuracy with Encryption Applications
Table 4
NIST results for different bus sizes.
| | NIST test (sample: 1000000 bits in length) | 8 bits | 27 bits | 34 bits | 36 bits | 38 bits | 40 bits | 42 bits | 45 bits’ value |
| | System parameters | | | | | | | | | | Frequency | ✗ | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | 0.788699 ✓ | | Block frequency | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | ✓ | 0.880935 ✓ | | Cusum-Forward | ✗ | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | 0.321183 ✓ | | Cusum-Reverse | ✗ | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | 0.511427 ✓ | | Runs | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | ✓ | 0.950620 ✓ | | Long runs of one | ✗ | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | 0.301448 ✓ | | Rank | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | ✓ | 0.178158 ✓ | | Spectral DFT | ✗ | ✗ | ✗ | ✗ | ✗ | ✓ | ✓ | 0.581909 ✓ | | Nonoverlapping templates | ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | 0.645372 ✓ | | Overlapping templates | ✗ | ✗ | ✗ | ✓ | ✓ | ✓ | ✓ | 0.566886 ✓ | | Universal | ✗ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | 0.725132 ✓ | | Approximate entropy | ✗ | ✗ | ✗ | ✗ | ✗ | ✓ | ✓ | 0.877618 ✓ | | Random excursions | ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | 0.970335 ✓ | | Random excursions variant | ✗ | ✗ | ✗ | ✗ | ✗ | ✗ | ✓ | 0.125786 ✓ | | Linear complexity | ✗ | ✓ | ✓ | ✓ | ✓ | ✓ | ✓ | 0.113062 ✓ | | Serial | ✗ | ✗ | ✗ | ✗ | ✗ | ✓ | ✓ | 0.115512 ✓ |
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