Abstract

In recent years, chaos has been extensively used in cryptographic systems. In this regard, one dimensional chaotic maps gained increased attention because of their intrinsic simplicity and ease in application. Many image encryption algorithms that are based on chaotic substitution boxes (S-boxes) have been studied in the last few years but some of them appear to be vulnerable to robustness. We, in this paper, propose an efficient scheme for image encryption that utilizes a composition of chaotic substitution based on tent map with the scrambling effect of the Arnold transform. The proposed construction algorithm for substitution box is, on one hand, straightforward and saves omputational labour, while on the other, it provides highly efficient performance outcomes. The understudy scheme uses an S-box, that is based on 1-D chaotic tent map. We partially encrypt the image using this S-box and then apply certain number of iterations of the Arnold transform to attain the fully encrypted image. For decryption we apply the reverse process. The strength of the proposed method is determined through the most significant techniques used for the statistical analysis and it is proved that the anticipated algorithm shows coherent results.

Highlights

  • In recent years, chaos has been extensively used in cryptographic systems

  • Many image encryption algorithms that are based on chaotic substitution boxes (S-boxes) have been studied in the last few years but some of them appear to be vulnerable to robustness

  • In this paper, propose an efficient scheme for image encryption that utilizes a composition of chaotic substitution based on tent map with the scrambling effect of the Arnold transform

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Summary

NTRODUCTION

Transmitting large amount of confidential information over the communication media has raised the security challenges. It has been developed that the chaotic systems exhibit the most legitimate features to fit for cryptographic applications chaos based algorithms have been widely used in digital multimedia applications including image ciphering, data hiding, watermarking and steganography [1]-[12]. The development of chaotic theory proved that the chaos based systems have capability to produce high level of confusion and diffusion in substitution-permutation networks. The basic characteristics of the chaotic maps such as ergodicity, broadband spectrum and high sensitivity to the initial conditions attracted the attention of researchers to incorporate them in high-security encryption algorithms used in modern communication. In the last few years many chaoticencryption algorithms have been studied [15]-[18]. Substitution box, the most indispensable component in block ciphers, is widely used in image encryption applications

C HAOS - BASED S-B OX
Chaotic tent map
Algorithm for S-box
MAGE E NCRYPTION S CHEME
A RNOLD T RANSFORM
C ONTRAST A NALYSIS
Homogeneity
Differential analysis
D IFFERENTIAL A NALYSIS
Full Text
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