Chaos based novel cryptographic technique based on a new logistic map

Abstract

In today's information age, a lot of data is being transferred over insecure channels like intranet and internet. This data needs to be secured against various attacks from an eavesdropper/intruder, etc. Of late chaotic encryption has caught the attention of research community round the globe for securing data, due to excellent characteristics of chaos such as data mixing, sensitivity to initial conditions, and ergodicity. In this work, we propose a novel modular logistic map (MLM) and show that it has better properties like larger Lyapunov exponent (LE), uniform invariant density, mixing and higher range of bifurcation parameter, etc., compared to basic logistic map. We have further exploited these properties of MLM for designing a secure robust, strong and efficient text cryptosystem. It has been further shown that encryption and decryption time using proposed scheme is quite small and hence the proposed cryptosystem suitable for real-time encryption applications.