Research Article

A Novel Pseudorandom Bit Generator Based on Chirikov Standard Map Filtered with Shrinking Rule

Table 1

NIST test results.

NIST Proposed generator
Statistical test value Pass rate

Frequency (monobit) 0.228367 994/1000
Block frequency 0.186566 983/1000
Cumulative sums (forward) 0.759756 990/1000
Cumulative sums (reverse) 0.003224 991/1000
Runs 0.647530 993/1000
Longest run of ones 0.960198 990/1000
Rank 0.670396 992/1000
FFT 0.187581 988/1000
Nonoverlapping templates 0.482512 990/1000
Overlapping templates 0.166260 987/1000
Universal 0.281232 987/1000
Approximate entropy 0.903338 988/1000
Random-excursion 0.532463 590/599
Random-excursion variant 0.409049 591/599
Serial 1 0.066465 986/1000
Serial 2 0.442831 989/1000
Linear complexity 0.985788 984/1000