Chaos Based Direct Public Verifiable Signcryption Scheme

Abstract

Chaos is one type of complex dynamic behaviour generated by determined nonlinear dynamic systems.Chaos functions have mainly used to develop mathematical models of non linear systems .Chaotic systems have many important properties, such as sensitive dependence on initial conditions, system parameters, density of point set topology of all cycles passed. Most properties such as mixing and diffusion are related to some requirement in the sense of cryptography. Therefore, provide more useful and practical applications of chaotic cryptosystems. In this paper, we investigate the utility of such functions in signcryption scheme for secure communication. An algorithm using a simple chaotic function f(x) = 3*x *(1 - x 2 ) is proposed .The proposed scheme is highly sensitive to the initial conditions. This paper presents chaos based Multi message signcryption scheme with public verifiability concept. The proposed scheme works for both single recipient and multiple recipients. The proposed scheme uses a chaos based multi key generator to generate multiple keys for signcryption scheme, and provides high security due to its chaotic nature. This represents important improvements over the chaotic key multi-message multi-recipient signcryption (CPK-MM-MRS) scheme