CRYPTANALYSIS OF A RANDOM NUMBER GENERATOR BASED ON A FRACTIONAL-ORDER CHAOTIC MEMCAPACITOR OSCILLATOR

The cryptanalysis of a random number generator (RNG) based on a fractional-order chaotic memcapacitor oscillator is presented. A RNG is proposed to attack the target RNG with the purpose of revealing the security vulnerabilities. It is numerically demonstrated that if the design of the target RNG is known and if it is possible to probe a state variable of the fractional-order chaotic system for a time interval, then it is possible to achieve synchronization between the attack and the target RNGs through application of linear continuous feedback in a master-slave scheme. It is numerically shown that the identical output of the target RNG is generated by the attack RNG thanks to the synchronization between the attack and the target RNGs. In this paper, a specific fractional-order chaotic RNG is chosen as the target RNG for demonstration of the cryptanalysis method; however, the method presented in this study can be applied similarly to various RNGs based on either fractional-order or integer order and either continuous-time or discrete-time chaotic systems. Therefore, the purpose of this paper is to draw attention to the security vulnerabilities associated with RNGs based on fractional-order chaotic systems and to emphasize the error in assuming the deterministic fractional-order chaos as the sole entropy source for designing a RNG.