CHAOS AND ITS APPLICATION TO CRYPTOSYSTEMS
Shunji Kawamoto
Department of Electrical and Information Systems,
Graduate School of Engineering, Osaka Prefecture University
Abstract
The logistic map is known to be one of the nonlinear difference equations as a
chaos map, and to generate pseudo-random numbers. However, since the chaos has a
highly sensitive dependence on initial conditions and accumulates inevitable round-off
errors caused by iterating the map, the numerical generation of exact chaotic time series is
said to be impossible. The aim of this paper is, first, to propose an algorithm to generate
exact chaotic time series of a chaos-type function derived from the exact chaos solution.
Next, the pseudo-random numbers are evaluated by four tests, and an application to
cryptosystems, which do not need the synchronization in usual computer environments, is
considered.
Key words: Information Security, Cryptosystem, Chaos, Pseudo-Random Numbers.