Hyperchaos based Cryptography: New Seven Dimensional Systems to Secure Communications

The growth of technology and the emphasis on privacy have intensified the need to find a fast and secure cryptographic method. As chaotic signals are usually noise-like and chaotic systems are very sensitive to the initial condition, they can be used in cryptography. We have analyzed the properties of two new hyperchaotic systems that we have developed and then propose a secure chaotic cryptography scheme for the transmission of confidential communication. The purpose of this article is to synchronize our two new hyperchaotic systems. These new systems are the fourth-order and six-order continuous hyperchaotic systems. After studying and verifying the hyperchaotic bihaviour of these systems, a high gain observer class is used to synchronize and stabilize the synchronization error dynamics. Then, a chaotic masking scheme is applied to secure the information between a transmitter and a receiver. The results of the simulations confirm the high performance of the observer designed for these high-dimensional systems and the proposed method leads to an almost perfect restoration of the original signal.