Key Encapsulation Mechanism Based on RSA Public Key Distribution Algorithm in Modified Lorenz Hyperchaotic System

Abstract

Public key encryption protocol based on user chosen keys allows a secure mechanism for distribution of secret keys between sender and receiver. In this work, a novel approach for Key Encapsulation Method (KEM) in modified Lorenz hyperchaotic system based on RSA (Rivest- Shamir - Adleman) public key encryption algorithm is proposed. Three dimensional Lorenz equation is transformed into a higher-dimensional system by adding Proportional Integral (PI) controller in the feedback path. The modified system is a higher-dimensional system where initial conditions and system parameters are the control parameters. Significant and exponent parts of the initial conditions expressed in floating point notation are encrypted with sender's public key and decrypted with receiver's private key. The message signal is then symmetrically encrypted by the Pseudo Random Number (PRN) generated by the hyperchaotic system. The various analyses show that proposed algorithm is computationally simple and secure against various attacks.