Multiple Bitstreams Generation Using Chaotic Sequences

Abstract

This article presents a method to transform a chaotic sequence of real numbers into multiple bitstreams, using multi-level discretization. Although the original intent was to achieve a higher/multiple flow of bits, much faster (i.e. in terms of computational time), it was subsequently conjugated with the one of preserving statistical properties of newly formed bitstreams (i.e. to have the ability of keeping their recommendations for usage within secure cryptographic application and not only, e.g. stochastic computing and/or generation of simulation data for the study of traffic in networks, whether they are WSNs, ATM or Telecoms). Thus, CrypTool, VRA and NIST battery of statistical tests were used in order to present an analysis of the randomness of the bitstreams obtained by applying the proposed discretization method. Theoretical and practical arguments, rounded by good statistical results, confirm viability of the proposed method and recommend it in generation of multiple bitstreams that will be used for secure cryptographic applications.