An image encryption algorithm based on chaotic Lorenz system and novel primitive polynomial S-boxes

TL;DR

This paper introduces a novel image encryption algorithm combining Lorenz chaotic system with primitive polynomial S-boxes, enhancing security by integrating chaos theory with cryptographic primitives, and demonstrates its effectiveness through MATLAB simulations.

Contribution

It proposes a new image encryption scheme using Lorenz chaos and 16 novel S-boxes based on primitive polynomials, addressing limitations of existing chaotic and cryptographic methods.

Findings

The encryption scheme effectively encrypts images with high sensitivity.

MATLAB simulations confirm the robustness and security of the proposed method.

The method outperforms some existing schemes in security analyses.

Abstract

Nowadays, the chaotic cryptosystems are gaining more attention due to their efficiency, the assurance of robustness and high sensitivity corresponding to initial conditions. In literature, on one hand there are many encryption algorithms that only guarantee security while on the other hand there are schemes based on chaotic systems that only promise the uncertainty. Due to these limitations, each of these approaches cannot adequately encounter the challenges of current scenario. Here we take a unified approach and propose an image encryption algorithm based on Lorenz chaotic system and primitive irreducible polynomial S-boxes. First, we propose 16 different S-boxes based on projective general linear group and 16 primitive irreducible polynomials of Galois field of order 256, and then utilize these S-boxes with combination of chaotic map in image encryption scheme. Three chaotic sequences can be produced by the Lorenz chaotic system corresponding to variables $x$, $y$ and $z$. We construct a new pseudo random chaotic sequence $k_i$ based on $x$, $y$ and $z$. The plain image is encrypted by the use of chaotic sequence $k_i$ and XOR operation to get a ciphered image. To demonstrate the strength of presented image encryption, some renowned analyses as well as MATLAB simulations are performed.