A New Digital Chaotic Sequence Generator Based on Logistic Map

Chaos has been shown some appropriate for encryption system with its good statistical chrematistics and the sensibility for its initial value. While limited by the finite precision of computer, chaos system appearing dynamical degradation properties due to the output sequence has indeterminate periodicity which is bad for encryption system. For the short-period phenomena in chaotic system, we presented a new method named EP-PRNG (extend period of a chaotic binary sequence generator). With the proof and experiments, the new system has shown the good characteristics that the period of Logistic iteration sequences is longer than 2^n-2 at lest. Thus, this method remedied a defect that some chaos sequences maybe have unpredicted short period is more suitable for encryption system.