Designing a Pseudo-Random Bit Generator Using Generalized Cascade Fractal Function

A cascade function is designed by combining two seed maps that resultantly has more parameters, high complexity, randomness, and unpredictable behavior. In the paper, a fractal function, i.e. cascade-PLMS proposed considering phoenix lambda functions. The constructed exhibits required features such as fractional dimension, self-similar structure, covering entire phase space data sequence in addition to chaotic properties. Due behavior, utilized generate pseudo-random number both integer binary format. This result of an extreme scalability feature can be implemented on large scale. generator performing linear operation real imaginary part cascade-PLMS, cascade-PLJS separately, iteration at which converges fixed point. performance analysis results show given method keyspace, fast key generation speed, sensitivity, strong randomness. Therefore, scheme efficiently used further design secure cryptosystem with ability withstand various attacks.