Synchronization of chaos in multiple three-dimensional chaotic maps and its application in cryptography

Abstract

In recent years, extensive studies have been done in the theory of chaos in different fields of physics, mathematics, engineering, biology, chemistry, economics and atmospheric sciences. Since the beginning of last decade, the use of continuous as well as discrete dynamical systems has been quite popular to develop cryptosystems. In this paper, we intend to propose a new encryption algorithm based on synchronization of chaos in multiple dynamical systems and demonstrate its use in cryptography. The idea is to use block ciphers to encrypt data using separate chaotic maps for each portion of plain-text. Sender and receiver systems are synchronized and are used to generate secret keys. These secret keys can be considered as pseudo-random and applied individually to each block. Such a coupled, chaos-based approach makes the process of key-prediction practically impossible and provides protection against common statistical attacks.