A study on precision of pseudorandom number generators using the logistic map

In the present paper, we show a design guide of a pseudorandom number generator using the logistic map with finite precision. First, we define three basic operations and two basic models of the pseudorandom number generator using an iterative map. Second, we implement two pseudorandom number generators employing their models with the logistic map with finite precision. Third, we estimate randomness of their pseudorandom numbers by the NIST statistical tests for the generators. Finally, we discuss precision passing the NIST tests and give the design guide of the pseudorandom number generator using the logistic map with finite precision.