Complexity / 2020 / Article / Tab 1 / Research Article
Analyses and Encryption Implementation of a New Chaotic System Based on Semitensor Product Table 1 NIST test results for the random sequences of the new system, Lorenz system, and Qi system (the number of sequences is 100, and their lengths are 1000000).
Statistical test value of c L (n ) value of c Q (n ) value of c (n )Test results of c (n ) Proportion Frequency 0.000000 0.236810 0.474986 √ 100/100 Block frequency (m = 128) 0.289667 0.699313 0.946308 √ 99/100 Cumulative sums 0.000000 0.108791 0.779188 √ 100/100 Runs 0.000000 0.554420 0.075719 √ 100/100 Longest run 0.419021 0.383827 0.289667 √ 100/100 Rank 0.851383 0.996335 0.289667 √ 100/100 FFT 0.911413 0.911413 0.213309 √ 99/100 Nonoverlapping template (m = 9) 0.000003 0.181557 0.983453 √ 100/100 Overlapping template (m = 9) 0.181557 0.935716 0.924076 √ 100/100 Universal 0.616305 0.289667 0.014550 √ 97/100 Approximate entropy (m = 10) 0.000000 0.798139 0.816537 √ 99/100 Random excursions 0.008879 0.319084 0.739918 √ 64/64 Random excursions variant 0.213309 0.289667 0.949602 √ 64/64 Linear complexity (M = 500) 0.010988 0.013569 0.108791 √ 99/100 Serial (m = 16) 0.616305 0.028817 0.262249 √ 100/100