Chaotic Binary Sequence Generator based on Logistic Map

Abstract

Pseudorandom binary sequences find various applications in different areas such as security, communication, steganography and cryptography. The properties like sensitivity to initial condition, ergodicity, mixing property and dynamic behavior are used in the designing of random number generators known as chaotic systems. In this study, an efficient chaotic binary sequence generator using logistic map is proposed, implemented and analyzed. The proposed binary sequence generator generates 50 chaotic sequences by varying initial condition with fixed system parameter. Subsequently, the generated sequences are transformed to binary sequences using thresholding method. The output of binary sequences is statistically tested with FIPS 140-2 test suite in order to identify the specific properties expected for truly random binary sequences. The experimental results prove that the generated binary sequences possess identical characteristics of true random numbers and can pass all tests of FIPS 140-2 test suite.