WITHDRAWN: Binary sequence using chaotic map for cryptogrphic applications

Abstract

Abstract A random sequence is a group of random numbers generated by a mathematical function. Random numbers are expected to be uniformly distributed, statistically independent and unpredictable. Research studies have proved that the chaotic systems have great capabilities of generating good quality random number. Chaotic systems are dynamic and non-linear systems which exhibit high sensitivity to initial state and growth parameters along with ergodicity and non-convergence. Using the logistic map function, we present a chaotic binary sequence generator design and fifty analog chaotic sequences are generated by varying initial conditions with fixed growth parameter. A thresholding method is used to convert the generated sequences into chaotic binary sequences, Using the NIST test suite, the characteristics of the generated binary sequences are evaluated. Numerical findings show that the chaotic sequences generated by the proposed generator have desirable randomness characteristics and were able to pass NIST SP 800-22 r1a.