A new generator of chaotic bit sequences with mixed-mode inputs

TL;DR

This paper introduces a novel chaotic bit sequence generator combining continuous and discrete inputs, demonstrating enhanced chaotic properties and entropy levels, with potential applications in random number generation.

Contribution

The paper presents a new mixed-mode chaotic generator with improved chaotic behavior and higher entropy compared to existing single-source generators.

Findings

Enhanced chaotic properties confirmed by 0-1 test

Sequences exhibit increased entropy levels

Comparable performance to quantum random generators

Abstract

This paper presents a new generator of chaotic bit sequences with mixed-mode (continuous and discrete) inputs. The generator has an improved level of chaotic properties in comparison with the existing single source (input) digital chaotic bit generators. The 0-1 test is used to show the improved chaotic behavior of our generator having a chaotic continuous input (Chua, R\"{o}ssler or Lorenz system) intermingled with a discrete input (logistic, Tinkerbell or Henon map) with various parameters. The obtained sequences of chaotic bits show some features of random processes with increased entropy levels, even in the cases of small numbers of bit representations. The properties of the new generator and its binary sequences compare well with those obtained from a truly random binary reference quantum generator, as evidenced by the results of the $ent$ tests.