Abstract

Over the last few decades, different mediums of secure communication use chaos which is demonstrated by some nonlinear dynamical systems. Chaos shows unpredictable behavior and this characteristic is quite helpful in different encryption techniques and for multimedia security. In this work, the chaotic behavior of the improved Tent-Sine map is conferred and ultimately a new method to construct substitution-boxes is proposed. This new method explores the features of chaos through TSS map and algebraic Mobius transformation to generate strong S-boxes. The S-boxes are assessed using standard tests suit which includes nonlinearity, strict avalanche criterion, bit independence criterion, linear approximation probability and differential uniformity. Moreover, the proposed S-boxes show excellent statistical properties under majority logic criterions such as correlation, homogeneity, energy, entropy, contrast. The statistical encryption results are demonstrate the better performance of the proposed S-boxes when compared with some of state of the art S-boxes including AES, Gray, APA S8 AES, Skipjack and validate the suitability of anticipated method.

Highlights

  • The rapid increase in international networking provides many new options for the design and presentation in the form of digital data

  • Secure communication can further be categorized into three main categories which include cryptography, watermarking and steganography

  • A comprehensive demonstration of such measures, involving differential characteristics of the block cipher is discussed in [32]. These types of attacks are used in block cipher-based S-boxes like DES and Advanced Encryption Standards (AES)

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Summary

INTRODUCTION

The rapid increase in international networking provides many new options for the design and presentation in the form of digital data. Chaos-based S-boxes have their importance for secure communication of data These S-boxes exhibit different striking properties and offer interesting results to various ciphers. Due to the success of AES S-box, a number of proposals have been put forward for the design of strong S-boxes using Galois field based algebraic techniques. Farwa et al in [19] used multiplicative cyclic group of associated Galois field for the construction of algebraic S-box They carefully formulated a bijective nonlinear iterative algebraic map defined on GF(28) and the algebraic S-box provided acceptable properties for application in image encryption. It holds the advantages of ease of constructing S-boxes with cryptographic strengths similar to AES and key-dependent. An image encryption application of proposed S-boxes is carried out to show their suitability to multimedia security

REVIEW OF VARIOUS CHAOTIC MAPS
PROPOSED S-BOXES
SUBSTITUTION BOXES ANALYSIS
STATISTICAL ANALYSIS
CORRELATION
HOMOGENEITY
CONCLUSION
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