Cryptanalysis of a chaos based random number generator: Lessons learned

In this work, numerical cryptanalysis of a random number generator (RNG) designed using a continuous time chaotic oscillator is presented. For the purpose of examining the vulnerabilities of the RNG, a master-slave synchronization approach was presented as a basis for an attack scheme. By suggesting this attack scheme, we intend to verify whether there is the possibility of revealing the secret information about the RNG and guessing the next random number by knowing only the RNG structure and any time series collected from the chaotic oscillator. The simulation results of the attack scheme are presented in this work and it is shown that the deterministic chaos can not be defined as a true random source of a RNG.