Research Article
Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator
| -gram’s order | Substring | Frequency (%) | |
| Histogram () | 0 | 50.0734 | 0.0734 | 1 | 49.9266 | 0.0734 |
| Digram () | 00 | 24.9605 | 0.0395 | 01 | 24.9660 | 0.0340 | 10 | 24.9660 | 0.0340 | 11 | 25.1074 | 0.1074 |
| Trigram () | 000 | 12.4899 | 0.0101 | 001 | 12.4706 | 0.0294 | 010 | 12.4293 | 0.0707 | 011 | 12.5367 | 0.0367 | 100 | 12.4705 | 0.0295 | 101 | 12.4954 | 0.0046 | 110 | 12.5367 | 0.0367 | 111 | 12.5707 | 0.0707 |
| 4-gram () | 0000 | 6.2240 | 0.0260 | 0001 | 6.2659 | 0.0159 | 0010 | 6.2015 | 0.0485 | 0011 | 6.2691 | 0.0191 | 0100 | 6.2085 | 0.0415 | 0101 | 6.2208 | 0.0292 | 0110 | 6.2568 | 0.0068 | 0111 | 6.2799 | 0.0299 | 1000 | 6.2658 | 0.0158 | 1001 | 6.2047 | 0.0453 | 1010 | 6.2278 | 0.0222 | 1011 | 6.2676 | 0.0176 | 1100 | 6.2620 | 0.0120 | 1101 | 6.2746 | 0.0246 | 1110 | 6.2799 | 0.0299 | 1111 | 6.2908 | 0.0408 |
| 12-gram () | 000000000000 | 0.0265 | 0.0020 | — | ≈0.0244 | ≈0 | 111111111111 | 0.0284 | 0.0039 |
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