Cryptanalyzing image encryption using chaotic logistic map

TL;DR

This paper demonstrates the insecurity of a chaotic image encryption scheme based on the logistic map by analyzing the stable distribution of chaotic states, highlighting potential cryptanalysis vulnerabilities.

Contribution

It reveals the cryptanalysis vulnerabilities of logistic map-based image encryption and suggests the need for more secure chaotic encryption methods.

Findings

Logistic map-based encryption schemes are vulnerable due to stable distribution properties.

Cryptanalysis can exploit properties of chaotic maps in digital implementations.

The study emphasizes improving the integration of chaos theory in secure encryption designs.

Abstract

Chaotic behavior arises from very simple non-linear dynamical equation of logistic map which makes it was used often in designing chaotic image encryption schemes. However, some properties of chaotic maps can also facilitate cryptanalysis especially when they are implemented in digital domain. Utilizing stable distribution of the chaotic states generated by iterating the logistic map, this paper presents a typical example to show insecurity of an image encryption scheme using chaotic logistic map. This work will push encryption and chaos be combined in a more effective way.