Some Properties of Well-Balanced Sequences Obtained from Two Logistic Maps over Integers

In this paper, we introduce a method for generating well-balanced sequences by two types of the logistic maps over integers with a small arithmetic precision. We proposed this method last year. We think that the randomness and unpredictability of the sequences are caused by a simple combination of partial outputs of two symmetric mapping, however we cannot explain the reason in detail. Here, we show that the sequence has superior properties from results of typical randomness tests.