Research Article

Study of a New Chaotic Dynamical System and Its Usage in a Novel Pseudorandom Bit Generator

Table 2

PRBG’s -gram reports.

-gram’s orderSubstringFrequency (%)

Histogram
( )
050.07340.0734
149.92660.0734

Digram
( )
0024.96050.0395
0124.96600.0340
1024.96600.0340
1125.10740.1074

Trigram
( )
00012.48990.0101
00112.47060.0294
01012.42930.0707
01112.53670.0367
10012.47050.0295
10112.49540.0046
11012.53670.0367
11112.57070.0707

4-gram
( )
00006.22400.0260
00016.26590.0159
00106.20150.0485
00116.26910.0191
01006.20850.0415
01016.22080.0292
01106.25680.0068
01116.27990.0299
10006.26580.0158
10016.20470.0453
10106.22780.0222
10116.26760.0176
11006.26200.0120
11016.27460.0246
11106.27990.0299
11116.29080.0408

12-gram
( )
0000000000000.02650.0020
0.02440
1111111111110.02840.0039