Research Article
New Statistical Randomness Tests Based on Length of Runs
Table 7
Test results for the binary expansion of
,
, and
.
| Statistical test | | | |
| Frequency test | 0.818668 | 0.393382 | 0.820816 | Block frequency test | 0.069195 | 0.191721 | 0.578760 | Run test | 0.489904 | 0.409869 | 0.894467 | Longest run of ones in a block | 0.328344 | 0.048248 | 0.537307 | Universal statistical test | 0.930374 | 0.915310 | 0.462562 | Linear complexity test | 0.927809 | 0.208269 | 0.396546 | Serial test1 | 0.924970 | 0.232328 | 0.247445 | Serial test2 | 0.719054 | 0.221747 | 0.037551 | Approximate entropy test | 0.707174 | 0.085060 | 0.837672 | Cumulative sums test—backward | 0.373319 | 0.333600 | 0.629320 | Cumulative sums test—forward | 0.242488 | 0.313745 | 0.838133 | Random excursion test | 0.892831 | 0.844143 | 0.270246 | Random excursions variant test | 0.388323 | 0.760966 | 0.461287 | Runs of length one test | 0.241279 | 0.097072 | 0.138194 | Runs of length two test | 0.092391 | 0.129520 | 0.158537 | Runs of length three test | 0.215721 | 0.114384 | 0.076582 |
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Two different versions of serial test in NIST test suite.
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