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RESULTS FOR THE UNIFORMITY OF P-VALUES AND THE PROPORTION OF PASSING SEQUENCES
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generator is
| C1 | C2 | C3 | C4 | C5 | C6 | C7 | C8 | C9 | C10 | P-VALUE | PROPORTION | TEST NAME |
| 4 | 9 | 3 | 5 | 7 | 6 | 7 | 8 | 3 | 12 | 0.195163 | 64/64 | Frequency |
| 4 | 6 | 6 | 10 | 7 | 9 | 8 | 6 | 3 | 5 | 0.602458 | 64/64 | BlockFrequency |
| 3 | 9 | 7 | 6 | 6 | 10 | 5 | 8 | 6 | 4 | 0.602458 | 64/64 | CumulativeSums |
| 5 | 8 | 7 | 6 | 6 | 4 | 3 | 11 | 9 | 5 | 0.437274 | 64/64 | CumulativeSums |
| 8 | 8 | 4 | 8 | 5 | 6 | 7 | 5 | 4 | 9 | 0.804337 | 63/64 | Runs |
| 6 | 7 | 7 | 9 | 5 | 6 | 8 | 5 | 6 | 5 | 0.964295 | 63/64 | LongestRun |
| 7 | 7 | 8 | 10 | 8 | 4 | 1 | 2 | 8 | 9 | 0.122325 | 63/64 | Rank |
| 7 | 8 | 5 | 11 | 4 | 6 | 5 | 4 | 7 | 7 | 0.637119 | 64/64 | FFT |
| 8 | 7 | 4 | 5 | 7 | 5 | 7 | 7 | 11 | 3 | 0.534146 | 64/64 | NonOverlappingTemplate |
| 6 | 4 | 10 | 6 | 8 | 6 | 5 | 6 | 5 | 8 | 0.834308 | 63/64 | NonOverlappingTemplate |
| 3 | 4 | 9 | 7 | 6 | 8 | 7 | 7 | 9 | 4 | 0.637119 | 64/64 | NonOverlappingTemplate |
| 6 | 5 | 7 | 10 | 8 | 7 | 3 | 3 | 7 | 8 | 0.568055 | 63/64 | NonOverlappingTemplate |
| 7 | 5 | 7 | 8 | 5 | 7 | 5 | 5 | 6 | 9 | 0.949602 | 64/64 | NonOverlappingTemplate |
| 4 | 5 | 7 | 8 | 6 | 4 | 12 | 4 | 5 | 9 | 0.299251 | 64/64 | NonOverlappingTemplate |
| 7 | 4 | 4 | 6 | 12 | 11 | 4 | 5 | 2 | 9 | 0.054199 | 64/64 | NonOverlappingTemplate |
| 8 | 5 | 9 | 7 | 5 | 7 | 7 | 7 | 3 | 6 | 0.862344 | 64/64 | NonOverlappingTemplate |
| 8 | 7 | 7 | 7 | 8 | 5 | 6 | 4 | 6 | 6 | 0.976060 | 63/64 | NonOverlappingTemplate |
| 8 | 4 | 6 | 4 | 5 | 7 | 10 | 9 | 4 | 7 | 0.602458 | 63/64 | NonOverlappingTemplate |
| 3 | 9 | 4 | 6 | 10 | 9 | 3 | 8 | 3 | 9 | 0.162606 | 64/64 | NonOverlappingTemplate |
| 9 | 9 | 7 | 5 | 5 | 5 | 10 | 4 | 2 | 8 | 0.324180 | 64/64 | NonOverlappingTemplate |
| 5 | 8 | 8 | 4 | 4 | 6 | 5 | 11 | 8 | 5 | 0.534146 | 64/64 | NonOverlappingTemplate |
| 7 | 3 | 4 | 6 | 6 | 12 | 9 | 7 | 8 | 2 | 0.148094 | 62/64 | NonOverlappingTemplate |
| 3 | 4 | 3 | 2 | 7 | 7 | 7 | 8 | 14 | 9 | 0.020085 | 64/64 | NonOverlappingTemplate |
| 2 | 8 | 5 | 9 | 7 | 7 | 5 | 8 | 8 | 5 | 0.637119 | 64/64 | NonOverlappingTemplate |
| 7 | 6 | 9 | 4 | 5 | 9 | 8 | 6 | 5 | 5 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 8 | 3 | 11 | 7 | 5 | 8 | 6 | 6 | 4 | 6 | 0.534146 | 63/64 | NonOverlappingTemplate |
| 5 | 5 | 6 | 8 | 7 | 5 | 6 | 8 | 7 | 7 | 0.985035 | 64/64 | NonOverlappingTemplate |
| 7 | 4 | 5 | 8 | 6 | 11 | 8 | 3 | 5 | 7 | 0.500934 | 63/64 | NonOverlappingTemplate |
| 2 | 5 | 10 | 9 | 6 | 7 | 5 | 9 | 3 | 8 | 0.275709 | 64/64 | NonOverlappingTemplate |
| 9 | 9 | 5 | 3 | 5 | 9 | 5 | 11 | 4 | 4 | 0.213309 | 62/64 | NonOverlappingTemplate |
| 7 | 7 | 6 | 5 | 5 | 6 | 5 | 3 | 12 | 8 | 0.437274 | 62/64 | NonOverlappingTemplate |
| 6 | 5 | 9 | 3 | 5 | 8 | 11 | 6 | 6 | 5 | 0.500934 | 62/64 | NonOverlappingTemplate |
| 2 | 8 | 8 | 4 | 8 | 2 | 8 | 9 | 9 | 6 | 0.232760 | 64/64 | NonOverlappingTemplate |
| 2 | 7 | 8 | 9 | 7 | 9 | 2 | 5 | 9 | 6 | 0.275709 | 64/64 | NonOverlappingTemplate |
| 10 | 10 | 4 | 6 | 12 | 4 | 4 | 5 | 6 | 3 | 0.090936 | 63/64 | NonOverlappingTemplate |
| 3 | 5 | 6 | 6 | 5 | 5 | 9 | 6 | 7 | 12 | 0.378138 | 64/64 | NonOverlappingTemplate |
| 6 | 14 | 4 | 7 | 4 | 5 | 7 | 7 | 3 | 7 | 0.110952 | 63/64 | NonOverlappingTemplate |
| 5 | 7 | 9 | 6 | 9 | 4 | 5 | 6 | 9 | 4 | 0.706149 | 64/64 | NonOverlappingTemplate |
| 6 | 5 | 6 | 7 | 7 | 7 | 7 | 7 | 4 | 8 | 0.985035 | 64/64 | NonOverlappingTemplate |
| 8 | 6 | 4 | 7 | 9 | 8 | 10 | 3 | 4 | 5 | 0.468595 | 64/64 | NonOverlappingTemplate |
| 12 | 4 | 7 | 3 | 6 | 7 | 7 | 4 | 9 | 5 | 0.275709 | 61/64 | NonOverlappingTemplate |
| 5 | 6 | 11 | 3 | 6 | 4 | 8 | 9 | 5 | 7 | 0.437274 | 63/64 | NonOverlappingTemplate |
| 10 | 4 | 6 | 9 | 7 | 5 | 5 | 9 | 6 | 3 | 0.500934 | 63/64 | NonOverlappingTemplate |
| 6 | 7 | 5 | 14 | 6 | 7 | 5 | 5 | 6 | 3 | 0.162606 | 63/64 | NonOverlappingTemplate |
| 5 | 6 | 8 | 5 | 7 | 4 | 7 | 7 | 11 | 4 | 0.637119 | 64/64 | NonOverlappingTemplate |
| 5 | 8 | 8 | 10 | 6 | 3 | 4 | 8 | 6 | 6 | 0.637119 | 64/64 | NonOverlappingTemplate |
| 2 | 2 | 4 | 7 | 13 | 6 | 6 | 6 | 12 | 6 | 0.015963 | 64/64 | NonOverlappingTemplate |
| 10 | 6 | 11 | 6 | 7 | 7 | 2 | 7 | 3 | 5 | 0.232760 | 62/64 | NonOverlappingTemplate |
| 7 | 4 | 6 | 4 | 6 | 8 | 4 | 11 | 6 | 8 | 0.568055 | 64/64 | NonOverlappingTemplate |
| 8 | 7 | 7 | 5 | 8 | 3 | 8 | 5 | 12 | 1 | 0.110952 | 63/64 | NonOverlappingTemplate |
| 12 | 9 | 5 | 6 | 5 | 5 | 4 | 4 | 7 | 7 | 0.378138 | 64/64 | NonOverlappingTemplate |
| 12 | 4 | 7 | 4 | 5 | 5 | 8 | 7 | 5 | 7 | 0.437274 | 64/64 | NonOverlappingTemplate |
| 8 | 6 | 6 | 13 | 4 | 4 | 8 | 5 | 5 | 5 | 0.253551 | 63/64 | NonOverlappingTemplate |
| 6 | 8 | 7 | 6 | 6 | 4 | 8 | 10 | 5 | 4 | 0.772760 | 63/64 | NonOverlappingTemplate |
| 4 | 5 | 3 | 7 | 7 | 12 | 5 | 7 | 10 | 4 | 0.195163 | 63/64 | NonOverlappingTemplate |
| 9 | 2 | 5 | 4 | 6 | 10 | 4 | 4 | 9 | 11 | 0.100508 | 64/64 | NonOverlappingTemplate |
| 6 | 7 | 6 | 5 | 5 | 9 | 5 | 6 | 6 | 9 | 0.931952 | 64/64 | NonOverlappingTemplate |
| 2 | 12 | 7 | 5 | 5 | 9 | 3 | 8 | 5 | 8 | 0.134686 | 64/64 | NonOverlappingTemplate |
| 6 | 6 | 11 | 4 | 5 | 9 | 6 | 5 | 7 | 5 | 0.637119 | 63/64 | NonOverlappingTemplate |
| 9 | 3 | 4 | 11 | 9 | 5 | 5 | 5 | 7 | 6 | 0.350485 | 64/64 | NonOverlappingTemplate |
| 6 | 8 | 8 | 4 | 10 | 7 | 4 | 6 | 7 | 4 | 0.706149 | 64/64 | NonOverlappingTemplate |
| 8 | 7 | 4 | 6 | 9 | 8 | 7 | 4 | 6 | 5 | 0.862344 | 64/64 | NonOverlappingTemplate |
| 6 | 5 | 7 | 7 | 6 | 7 | 6 | 8 | 5 | 7 | 0.995711 | 62/64 | NonOverlappingTemplate |
| 9 | 4 | 3 | 10 | 7 | 6 | 8 | 5 | 6 | 6 | 0.602458 | 64/64 | NonOverlappingTemplate |
| 9 | 8 | 5 | 7 | 4 | 9 | 8 | 1 | 9 | 4 | 0.232760 | 63/64 | NonOverlappingTemplate |
| 8 | 6 | 5 | 6 | 8 | 8 | 8 | 3 | 5 | 7 | 0.862344 | 64/64 | NonOverlappingTemplate |
| 8 | 5 | 5 | 8 | 7 | 9 | 3 | 7 | 6 | 6 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 4 | 10 | 7 | 7 | 6 | 8 | 8 | 7 | 4 | 3 | 0.602458 | 63/64 | NonOverlappingTemplate |
| 5 | 7 | 6 | 9 | 6 | 4 | 4 | 8 | 4 | 11 | 0.468595 | 64/64 | NonOverlappingTemplate |
| 4 | 9 | 7 | 6 | 8 | 6 | 8 | 6 | 6 | 4 | 0.888137 | 64/64 | NonOverlappingTemplate |
| 6 | 6 | 6 | 9 | 8 | 10 | 11 | 2 | 3 | 3 | 0.100508 | 64/64 | NonOverlappingTemplate |
| 6 | 8 | 4 | 2 | 8 | 5 | 7 | 8 | 6 | 10 | 0.500934 | 62/64 | NonOverlappingTemplate |
| 5 | 2 | 3 | 3 | 5 | 10 | 12 | 13 | 3 | 8 | 0.002971 | 63/64 | NonOverlappingTemplate |
| 10 | 7 | 3 | 4 | 7 | 5 | 6 | 5 | 7 | 10 | 0.500934 | 62/64 | NonOverlappingTemplate |
| 3 | 5 | 6 | 8 | 8 | 6 | 7 | 9 | 5 | 7 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 11 | 7 | 6 | 6 | 3 | 9 | 3 | 7 | 5 | 7 | 0.407091 | 63/64 | NonOverlappingTemplate |
| 4 | 11 | 4 | 5 | 7 | 6 | 3 | 5 | 11 | 8 | 0.195163 | 64/64 | NonOverlappingTemplate |
| 3 | 10 | 9 | 4 | 4 | 6 | 9 | 9 | 7 | 3 | 0.232760 | 62/64 | NonOverlappingTemplate |
| 8 | 3 | 4 | 6 | 6 | 10 | 5 | 5 | 10 | 7 | 0.468595 | 61/64 | NonOverlappingTemplate |
| 4 | 5 | 3 | 8 | 8 | 6 | 8 | 9 | 5 | 8 | 0.671779 | 64/64 | NonOverlappingTemplate |
| 3 | 6 | 6 | 6 | 9 | 1 | 7 | 6 | 7 | 13 | 0.074177 | 64/64 | NonOverlappingTemplate |
| 0 | 7 | 8 | 11 | 6 | 9 | 5 | 8 | 3 | 7 | 0.090936 | 64/64 | NonOverlappingTemplate |
| 8 | 7 | 4 | 4 | 8 | 5 | 7 | 7 | 11 | 3 | 0.437274 | 64/64 | NonOverlappingTemplate |
| 3 | 7 | 6 | 9 | 7 | 6 | 4 | 6 | 5 | 11 | 0.500934 | 63/64 | NonOverlappingTemplate |
| 4 | 1 | 8 | 8 | 6 | 3 | 5 | 10 | 7 | 12 | 0.054199 | 64/64 | NonOverlappingTemplate |
| 4 | 13 | 4 | 6 | 5 | 7 | 8 | 5 | 4 | 8 | 0.213309 | 64/64 | NonOverlappingTemplate |
| 12 | 5 | 6 | 13 | 5 | 4 | 5 | 4 | 7 | 3 | 0.039244 | 63/64 | NonOverlappingTemplate |
| 7 | 4 | 8 | 10 | 14 | 6 | 3 | 4 | 4 | 4 | 0.031497 | 63/64 | NonOverlappingTemplate |
| 10 | 6 | 6 | 8 | 4 | 4 | 7 | 6 | 7 | 6 | 0.834308 | 63/64 | NonOverlappingTemplate |
| 10 | 5 | 9 | 7 | 7 | 4 | 8 | 4 | 5 | 5 | 0.637119 | 64/64 | NonOverlappingTemplate |
| 6 | 4 | 7 | 11 | 5 | 6 | 6 | 6 | 8 | 5 | 0.739918 | 64/64 | NonOverlappingTemplate |
| 4 | 4 | 9 | 2 | 9 | 8 | 3 | 13 | 8 | 4 | 0.028181 | 64/64 | NonOverlappingTemplate |
| 11 | 5 | 9 | 5 | 6 | 10 | 5 | 6 | 2 | 5 | 0.232760 | 64/64 | NonOverlappingTemplate |
| 8 | 9 | 4 | 5 | 6 | 4 | 9 | 6 | 9 | 4 | 0.602458 | 64/64 | NonOverlappingTemplate |
| 5 | 6 | 4 | 6 | 6 | 6 | 6 | 11 | 7 | 7 | 0.804337 | 63/64 | NonOverlappingTemplate |
| 6 | 6 | 8 | 7 | 5 | 8 | 7 | 8 | 5 | 4 | 0.949602 | 63/64 | NonOverlappingTemplate |
| 4 | 7 | 6 | 5 | 0 | 10 | 7 | 7 | 9 | 9 | 0.162606 | 63/64 | NonOverlappingTemplate |
| 6 | 7 | 6 | 4 | 10 | 5 | 2 | 11 | 2 | 11 | 0.043745 | 63/64 | NonOverlappingTemplate |
| 5 | 7 | 8 | 5 | 11 | 7 | 9 | 6 | 2 | 4 | 0.324180 | 64/64 | NonOverlappingTemplate |
| 7 | 8 | 4 | 7 | 7 | 9 | 3 | 6 | 6 | 7 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 9 | 2 | 3 | 11 | 5 | 4 | 7 | 9 | 8 | 6 | 0.162606 | 63/64 | NonOverlappingTemplate |
| 7 | 5 | 7 | 4 | 8 | 12 | 6 | 5 | 6 | 4 | 0.468595 | 62/64 | NonOverlappingTemplate |
| 4 | 5 | 11 | 7 | 5 | 7 | 4 | 6 | 7 | 8 | 0.637119 | 62/64 | NonOverlappingTemplate |
| 7 | 6 | 4 | 7 | 6 | 7 | 6 | 9 | 7 | 5 | 0.964295 | 64/64 | NonOverlappingTemplate |
| 6 | 6 | 4 | 11 | 4 | 7 | 6 | 5 | 9 | 6 | 0.602458 | 64/64 | NonOverlappingTemplate |
| 8 | 8 | 5 | 5 | 8 | 4 | 5 | 7 | 7 | 7 | 0.931952 | 62/64 | NonOverlappingTemplate |
| 7 | 5 | 12 | 6 | 7 | 7 | 7 | 6 | 4 | 3 | 0.437274 | 64/64 | NonOverlappingTemplate |
| 5 | 7 | 6 | 6 | 9 | 7 | 5 | 8 | 4 | 7 | 0.931952 | 63/64 | NonOverlappingTemplate |
| 7 | 5 | 9 | 9 | 6 | 3 | 5 | 5 | 9 | 6 | 0.671779 | 62/64 | NonOverlappingTemplate |
| 5 | 3 | 10 | 5 | 3 | 7 | 5 | 7 | 9 | 10 | 0.299251 | 64/64 | NonOverlappingTemplate |
| 7 | 9 | 4 | 8 | 6 | 4 | 9 | 5 | 5 | 7 | 0.772760 | 64/64 | NonOverlappingTemplate |
| 8 | 8 | 5 | 10 | 6 | 7 | 3 | 8 | 3 | 6 | 0.534146 | 64/64 | NonOverlappingTemplate |
| 6 | 6 | 8 | 7 | 14 | 3 | 7 | 5 | 2 | 6 | 0.066882 | 64/64 | NonOverlappingTemplate |
| 5 | 11 | 5 | 7 | 7 | 5 | 4 | 12 | 6 | 2 | 0.110952 | 64/64 | NonOverlappingTemplate |
| 9 | 5 | 10 | 6 | 6 | 8 | 7 | 5 | 4 | 4 | 0.671779 | 63/64 | NonOverlappingTemplate |
| 9 | 5 | 5 | 8 | 2 | 5 | 5 | 7 | 7 | 11 | 0.350485 | 63/64 | NonOverlappingTemplate |
| 10 | 9 | 4 | 4 | 3 | 7 | 8 | 5 | 7 | 7 | 0.500934 | 63/64 | NonOverlappingTemplate |
| 7 | 4 | 7 | 3 | 9 | 7 | 7 | 7 | 5 | 8 | 0.804337 | 64/64 | NonOverlappingTemplate |
| 8 | 9 | 5 | 7 | 7 | 4 | 5 | 5 | 7 | 7 | 0.911413 | 62/64 | NonOverlappingTemplate |
| 9 | 7 | 5 | 6 | 10 | 5 | 1 | 7 | 7 | 7 | 0.407091 | 63/64 | NonOverlappingTemplate |
| 7 | 3 | 12 | 6 | 6 | 4 | 7 | 6 | 7 | 6 | 0.468595 | 63/64 | NonOverlappingTemplate |
| 7 | 9 | 2 | 9 | 4 | 6 | 7 | 4 | 9 | 7 | 0.437274 | 62/64 | NonOverlappingTemplate |
| 7 | 10 | 9 | 5 | 7 | 5 | 8 | 3 | 6 | 4 | 0.568055 | 63/64 | NonOverlappingTemplate |
| 7 | 3 | 3 | 6 | 10 | 10 | 5 | 7 | 4 | 9 | 0.275709 | 62/64 | NonOverlappingTemplate |
| 10 | 8 | 3 | 7 | 4 | 6 | 5 | 8 | 8 | 5 | 0.602458 | 61/64 | NonOverlappingTemplate |
| 4 | 10 | 4 | 2 | 6 | 8 | 5 | 8 | 11 | 6 | 0.195163 | 64/64 | NonOverlappingTemplate |
| 6 | 6 | 7 | 7 | 9 | 9 | 4 | 6 | 3 | 7 | 0.772760 | 62/64 | NonOverlappingTemplate |
| 10 | 7 | 7 | 8 | 12 | 4 | 4 | 3 | 5 | 4 | 0.148094 | 60/64 | NonOverlappingTemplate |
| 6 | 2 | 6 | 7 | 4 | 12 | 8 | 7 | 9 | 3 | 0.148094 | 64/64 | NonOverlappingTemplate |
| 1 | 6 | 7 | 9 | 8 | 8 | 3 | 11 | 7 | 4 | 0.134686 | 64/64 | NonOverlappingTemplate |
| 6 | 5 | 9 | 5 | 13 | 6 | 7 | 6 | 4 | 3 | 0.195163 | 64/64 | NonOverlappingTemplate |
| 9 | 9 | 5 | 6 | 5 | 5 | 8 | 6 | 4 | 7 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 7 | 5 | 4 | 5 | 7 | 6 | 5 | 9 | 10 | 6 | 0.772760 | 64/64 | NonOverlappingTemplate |
| 2 | 11 | 10 | 4 | 7 | 3 | 7 | 6 | 10 | 4 | 0.082177 | 64/64 | NonOverlappingTemplate |
| 8 | 8 | 5 | 4 | 7 | 8 | 2 | 9 | 9 | 4 | 0.407091 | 63/64 | NonOverlappingTemplate |
| 6 | 5 | 9 | 4 | 1 | 5 | 6 | 9 | 12 | 7 | 0.110952 | 63/64 | NonOverlappingTemplate |
| 8 | 6 | 5 | 4 | 11 | 7 | 7 | 4 | 6 | 6 | 0.671779 | 64/64 | NonOverlappingTemplate |
| 9 | 6 | 4 | 6 | 9 | 4 | 5 | 7 | 5 | 9 | 0.706149 | 63/64 | NonOverlappingTemplate |
| 6 | 9 | 1 | 8 | 6 | 11 | 9 | 5 | 2 | 7 | 0.090936 | 63/64 | NonOverlappingTemplate |
| 9 | 6 | 6 | 7 | 4 | 5 | 4 | 5 | 6 | 12 | 0.407091 | 64/64 | NonOverlappingTemplate |
| 4 | 8 | 6 | 5 | 11 | 7 | 4 | 7 | 6 | 6 | 0.671779 | 63/64 | NonOverlappingTemplate |
| 9 | 3 | 8 | 3 | 4 | 9 | 9 | 4 | 8 | 7 | 0.324180 | 63/64 | NonOverlappingTemplate |
| 9 | 8 | 3 | 5 | 8 | 7 | 9 | 4 | 6 | 5 | 0.637119 | 63/64 | NonOverlappingTemplate |
| 6 | 6 | 11 | 7 | 4 | 11 | 4 | 5 | 3 | 7 | 0.232760 | 64/64 | NonOverlappingTemplate |
| 6 | 5 | 8 | 8 | 3 | 7 | 7 | 5 | 5 | 10 | 0.706149 | 63/64 | NonOverlappingTemplate |
| 11 | 5 | 2 | 9 | 6 | 3 | 7 | 11 | 5 | 5 | 0.100508 | 63/64 | NonOverlappingTemplate |
| 8 | 6 | 7 | 6 | 2 | 6 | 6 | 10 | 6 | 7 | 0.706149 | 63/64 | NonOverlappingTemplate |
| 7 | 4 | 5 | 6 | 9 | 8 | 3 | 8 | 8 | 6 | 0.739918 | 63/64 | NonOverlappingTemplate |
| 6 | 8 | 7 | 7 | 5 | 9 | 7 | 6 | 5 | 4 | 0.931952 | 64/64 | NonOverlappingTemplate |
| 6 | 2 | 5 | 5 | 11 | 7 | 7 | 6 | 8 | 7 | 0.500934 | 63/64 | NonOverlappingTemplate |
| 3 | 9 | 7 | 8 | 8 | 3 | 5 | 8 | 4 | 9 | 0.437274 | 64/64 | NonOverlappingTemplate |
| 6 | 7 | 6 | 7 | 6 | 7 | 7 | 7 | 6 | 5 | 0.999438 | 64/64 | NonOverlappingTemplate |
| 9 | 9 | 4 | 8 | 6 | 6 | 5 | 7 | 5 | 5 | 0.834308 | 64/64 | NonOverlappingTemplate |
| 7 | 8 | 5 | 1 | 5 | 7 | 10 | 9 | 6 | 6 | 0.378138 | 64/64 | NonOverlappingTemplate |
| 5 | 6 | 15 | 10 | 7 | 4 | 9 | 2 | 1 | 5 | 0.002316 | 64/64 | NonOverlappingTemplate |
| 0 | 7 | 8 | 11 | 6 | 9 | 5 | 8 | 3 | 7 | 0.090936 | 64/64 | NonOverlappingTemplate |
| 7 | 10 | 5 | 3 | 11 | 8 | 3 | 1 | 8 | 8 | 0.060239 | 63/64 | OverlappingTemplate |
| 9 | 6 | 7 | 4 | 3 | 5 | 6 | 8 | 4 | 12 | 0.253551 | 63/64 | Universal |
| 7 | 6 | 5 | 6 | 9 | 11 | 2 | 6 | 5 | 7 | 0.437274 | 63/64 | ApproximateEntropy |
| 5 | 4 | 5 | 4 | 4 | 6 | 2 | 3 | 2 | 2 | 0.568055 | 36/37 | RandomExcursions |
| 4 | 3 | 2 | 4 | 6 | 4 | 3 | 2 | 3 | 6 | 0.568055 | 35/37 | RandomExcursions |
| 2 | 1 | 6 | 2 | 5 | 4 | 5 | 5 | 5 | 2 | 0.275709 | 36/37 | RandomExcursions |
| 3 | 3 | 6 | 6 | 1 | 3 | 8 | 1 | 3 | 3 | 0.048716 | 37/37 | RandomExcursions |
| 5 | 3 | 7 | 1 | 3 | 3 | 4 | 3 | 3 | 5 | 0.378138 | 37/37 | RandomExcursions |
| 4 | 5 | 3 | 1 | 6 | 3 | 4 | 5 | 2 | 4 | 0.500934 | 37/37 | RandomExcursions |
| 5 | 1 | 6 | 4 | 2 | 5 | 1 | 6 | 3 | 4 | 0.195163 | 36/37 | RandomExcursions |
| 5 | 3 | 5 | 3 | 2 | 4 | 3 | 3 | 5 | 4 | 0.834308 | 36/37 | RandomExcursions |
| 3 | 2 | 3 | 4 | 1 | 4 | 5 | 4 | 4 | 7 | 0.378138 | 37/37 | RandomExcursionsVariant |
| 3 | 1 | 2 | 5 | 5 | 1 | 3 | 7 | 6 | 4 | 0.110952 | 37/37 | RandomExcursionsVariant |
| 3 | 2 | 2 | 4 | 5 | 8 | 4 | 2 | 2 | 5 | 0.162606 | 37/37 | RandomExcursionsVariant |
| 4 | 3 | 2 | 4 | 5 | 3 | 5 | 3 | 5 | 3 | 0.834308 | 37/37 | RandomExcursionsVariant |
| 5 | 1 | 2 | 5 | 4 | 3 | 5 | 3 | 5 | 4 | 0.568055 | 37/37 | RandomExcursionsVariant |
| 4 | 3 | 3 | 4 | 1 | 4 | 10 | 3 | 4 | 1 | 0.015963 | 37/37 | RandomExcursionsVariant |
| 3 | 2 | 4 | 5 | 4 | 2 | 4 | 8 | 3 | 2 | 0.232760 | 37/37 | RandomExcursionsVariant |
| 3 | 5 | 3 | 3 | 1 | 6 | 4 | 5 | 3 | 4 | 0.568055 | 37/37 | RandomExcursionsVariant |
| 6 | 1 | 3 | 6 | 2 | 4 | 4 | 5 | 3 | 3 | 0.378138 | 36/37 | RandomExcursionsVariant |
| 7 | 2 | 3 | 3 | 6 | 6 | 2 | 4 | 3 | 1 | 0.134686 | 36/37 | RandomExcursionsVariant |
| 4 | 2 | 6 | 2 | 4 | 6 | 1 | 5 | 4 | 3 | 0.324180 | 37/37 | RandomExcursionsVariant |
| 3 | 2 | 4 | 2 | 5 | 9 | 5 | 3 | 1 | 3 | 0.048716 | 37/37 | RandomExcursionsVariant |
| 5 | 2 | 5 | 4 | 3 | 6 | 4 | 2 | 2 | 4 | 0.568055 | 37/37 | RandomExcursionsVariant |
| 5 | 3 | 7 | 6 | 2 | 1 | 5 | 3 | 4 | 1 | 0.110952 | 36/37 | RandomExcursionsVariant |
| 6 | 3 | 3 | 5 | 6 | 1 | 4 | 2 | 3 | 4 | 0.378138 | 35/37 | RandomExcursionsVariant |
| 5 | 3 | 5 | 3 | 5 | 5 | 3 | 2 | 2 | 4 | 0.706149 | 37/37 | RandomExcursionsVariant |
| 6 | 1 | 5 | 2 | 4 | 6 | 2 | 6 | 3 | 2 | 0.162606 | 37/37 | RandomExcursionsVariant |
| 4 | 3 | 5 | 4 | 3 | 7 | 4 | 1 | 3 | 3 | 0.437274 | 36/37 | RandomExcursionsVariant |
| 9 | 6 | 8 | 7 | 5 | 8 | 6 | 8 | 3 | 4 | 0.739918 | 63/64 | Serial |
| 8 | 8 | 7 | 8 | 8 | 8 | 5 | 8 | 3 | 1 | 0.350485 | 62/64 | Serial |
| 9 | 9 | 2 | 6 | 5 | 10 | 7 | 5 | 5 | 6 | 0.437274 | 63/64 | LinearComplexity |
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The minimum pass rate for each statistical test with the exception of the random excursion (variant) test is approximately = 60 for a sample size = 64 binary sequences.
The minimum pass rate for the random excursion (variant) test is approximately = 34 for a sample size = 37 binary sequences.
For further guidelines construct a probability table using the MAPLE program provided in the addendum section of the documentation.
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
EPC Generation 2 Class 1 RFID Standard Security Requirements Tests
Requirement 1 : Probability of a single RN16: The probability that any RN16 drawn from the RNG has value RN16 = j for any j, shall be bounded by:
0,8 / 2^16 < P(RN16 = j) < 1,25 / 2^16
Requirement 2 : Probability of simultaneously identical sequences: For a tag population of up to 10,000 tags, the probability that any of two or more tags simultaneously generate the same sequence of RN16s shall be less than 0.1%, regardless of when the tags are energized.
Requirement 3 : Probability of predicting an RN16: An RN16 drawn from a tag's RNG 10 ms after the end of Tr, shall not be predictable with a probability greater than 0.025% if the outcomes of prior draws from RNG, performed under identical conditions, are known.
TEST RESULTS FOR REQUIREMENTS
REQUIREMENT 1 TEST RESULT
We try to decrease requirement about generating 2^30 numbers so we succeded to pass this test by generating 2^26 numbers. Test result is :
0,852 / 2^16 < P(RN16 = j) < 1,18 / 2^16
REQUIREMENT 2 TEST RESULT
This algoirthm starts with two 64 bits seeds. So we can say that :
(1 / 2^64 ) x (1 / 2^64) = 1 / 2^128
[ 10000 x (1 / 2 ^128) ] * 100 = % 2,94 x 10 ^ -34 < % 0.1
REQUIREMENT 3 TEST RESULT
| Serial correlation coefficient | Serial correlation coefficient (%) | |
| Seed 1 | 0.000125 | 0.0125 |
| Seed 2 | -0.000097 | -0.0097 |
| Seed 3 | 0.000229 | 0.0229 |
| Seed 4 | 0.000218 | 0.0218 |
| Seed 5 | 0.000074 | 0.0074 |
SEED 1
static uint64_t s[2] = {0x17AF340B84F0F0F09,0x20F470F076F6F082};
EXORSHIFTR+ ENT TEST RESULT FOR SEED 1
Entropy = 7.999913 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 241.44, and randomly would exceed this value 71.97 percent of the times.
Arithmetic mean value of data bytes is 127.5187 (127.5 = random). Monte Carlo value for Pi is 3.142359142 (error 0.02 percent). Serial correlation coefficient is 0.000125 (totally uncorrelated = 0.0).
EXORSHIFT ORIGINAL ENT TEST RESULT FOR SEED 1
Entropy = 7.999915 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 236.87, and randomly would exceed this value 78.61 percent of the times.
Arithmetic mean value of data bytes is 127.5494 (127.5 = random). Monte Carlo value for Pi is 3.143247143 (error 0.05 percent). Serial correlation coefficient is 0.000472 (totally uncorrelated = 0.0).
SEED 2
static uint64_t s[2] = {0x17AF343B84F0F6F09,0x20F470F076F6F082};
EXORSHIFTR+ ENT TEST RESULT FOR SEED 2
Entropy = 7.999916 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 232.26, and randomly would exceed this value 84.35 percent of the times.
Arithmetic mean value of data bytes is 127.4130 (127.5 = random). Monte Carlo value for Pi is 3.148203148 (error 0.21 percent). Serial correlation coefficient is -0.000097 (totally uncorrelated = 0.0).
EXORSHIFT ORIGINAL ENT TEST RESULT FOR SEED 2
Entropy = 7.999914 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 238.79, and randomly would exceed this value 75.93 percent of the times.
Arithmetic mean value of data bytes is 127.5182 (127.5 = random). Monte Carlo value for Pi is 3.144255144 (error 0.08 percent). Serial correlation coefficient is -0.000554 (totally uncorrelated = 0.0).
SEED 3
static uint64_t s[2] = {0x17AF343B84F0F6F09,0x23F473F276F6F782};
EXORSHIFTR+ ENT TEST RESULT FOR SEED 3
Entropy = 7.999911 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 246.28, and randomly would exceed this value 64.10 percent of the times.
Arithmetic mean value of data bytes is 127.5543 (127.5 = random). Monte Carlo value for Pi is 3.138699139 (error 0.09 percent). Serial correlation coefficient is 0.000229 (totally uncorrelated = 0.0).
EXORSHIFT ORIGINAL ENT TEST RESULT FOR SEED 3
Entropy = 7.999901 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 274.00, and randomly would exceed this value 19.75 percent of the times.
Arithmetic mean value of data bytes is 127.5069 (127.5 = random). Monte Carlo value for Pi is 3.139911140 (error 0.05 percent). Serial correlation coefficient is -0.000211 (totally uncorrelated = 0.0).
SEED 4
static uint64_t s[2] = {0x17AF343B77F3F5F59,0x97F473F276F6F182};
EXORSHIFTR+ ENT TEST RESULT FOR SEED 4
Entropy = 7.999917 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 229.73, and randomly would exceed this value 87.05 percent of the times.
Arithmetic mean value of data bytes is 127.4173 (127.5 = random). Monte Carlo value for Pi is 3.144723145 (error 0.10 percent). Serial correlation coefficient is 0.000218 (totally uncorrelated = 0.0).
EXORSHIFT ORIGINAL ENT TEST RESULT FOR SEED 4
Entropy = 7.999918 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 227.22, and randomly would exceed this value 89.40 percent of the times.
Arithmetic mean value of data bytes is 127.4853 (127.5 = random). Monte Carlo value for Pi is 3.141627142 (error 0.00 percent). Serial correlation coefficient is 0.000334 (totally uncorrelated = 0.0).
SEED 5
static uint64_t s[2] = {0x105C043B00F3F5F59,0x97F473F206F6F182};
EXORSHIFTR+ ENT TEST RESULT FOR SEED 5
Entropy = 7.999912 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 243.66, and randomly would exceed this value 68.45 percent of the times.
Arithmetic mean value of data bytes is 127.5189 (127.5 = random). Monte Carlo value for Pi is 3.138483138 (error 0.10 percent). Serial correlation coefficient is 0.000074 (totally uncorrelated = 0.0).
EXORSHIFT ORIGINAL ENT TEST RESULT FOR SEED 5
Entropy = 7.999914 bits per byte.
Optimum compression would reduce the size of this 2000002 byte file by 0 percent.
Chi square distribution for 2000002 samples is 238.39, and randomly would exceed this value 76.49 percent of the times.
Arithmetic mean value of data bytes is 127.5183 (127.5 = random). Monte Carlo value for Pi is 3.138747139 (error 0.09 percent). Serial correlation coefficient is -0.000868 (totally uncorrelated = 0.0).