Title: Secure image encryption scheme based on polar decomposition and chaotic map

Authors: Noui Oussama; Beloucif Assia; Noui Lemnouar

Addresses: Department of Computer Science, UHL University, Batna, Algeria ' Department of Computer Science, UHL University, Batna, Algeria ' Department of Mathematics, UHL University, Batna, Algeria

Abstract: Security is an important issue in image storage and communication, encryption is one of the most common ways to ensure security. Recently, many schemes based on chaotic map have been proposed, but most of this method suffers from small key space, which makes them vulnerable to brute forces attacks. In this study, we design a highly robust novel symmetric image encryption scheme which offer good confusion and diffusion qualities, and a large key space to ensure popular security factor and to overcome the weaknesses of the state of the art encryption schemes. In the security analysis section, we prove that our scheme can resist most known attacks, such as cipher image only attack, known and chosen plain image attacks, differential and exhaustive attacks. It is shown in this paper that the use of polar decomposition with chaotic map can gives a fast and secures encryption.

Keywords: image encryption; singular values decomposition; SVD; chaotic map; polar decomposition.

DOI: 10.1504/IJICT.2017.084339

International Journal of Information and Communication Technology, 2017 Vol.10 No.4, pp.437 - 453

Received: 25 Jul 2014
Accepted: 24 Oct 2014
Published online: 06 Jun 2017 *

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