Research Article

Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map

Table 3

ENT statistical test results for two 80 million bits sequences generated by the proposed Chebyshev polynomial based pseudorandom bit generator and Duffing map based pseudorandom bit generator, respectively.

ENT statistical test Chebyshev PRBG results Duffing PRBG results

Entropy 7.999999 bits per byte 7.999999 bits per byte
Optimum compression OC would reduce the size of this 125000000 byte file by 0% OC would reduce the size of this 125000000 byte file by 0%
distribution For 125000000 samples it is 222.98 and randomly would exceed this value 92.68% of the time For 125000000 samples it is 228.17 and randomly would exceed this value 88.54% of the time
Arithmetic mean value 127.49810 (127.5 = random) 127.5050 (127.5 = random)
Monte Carlo estimation 3.142062386 (error 0.01%) 3.140968178 (error 0.02%)
Serial correlation coefficientāˆ’0.000026 (totally uncorrelated = 0.0)0.000018 (totally uncorrelated = 0.0)