A Novel Image Encryption Based on Algebraic S-box and Arnold Transform

Recent study shows that substitution box (S-box) only cannot be reliably used in image encryption techniques. We, in this paper, propose a novel and secure image encryption scheme that utilizes the combined effect of an algebraic substitution box along with the scrambling effect of the Arnold transf...

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Bibliographic Details
Published in:3D research 2017-09, Vol.8 (3), p.1-14, Article 26
Main Authors: Farwa, Shabieh, Muhammad, Nazeer, Shah, Tariq, Ahmad, Sohail
Format: Article
Language:English
Subjects:
3DR Express
Algebra
Algorithms
Avalanches
Boxes
Computer Imaging
Criteria
Data encryption
Encryption
Engineering
Initial conditions
Lasers
Nonlinearity
Optical Devices
Optics
Pattern Recognition and Graphics
Performance indices
Photonics
Signal,Image and Speech Processing
Vision
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Summary:Recent study shows that substitution box (S-box) only cannot be reliably used in image encryption techniques. We, in this paper, propose a novel and secure image encryption scheme that utilizes the combined effect of an algebraic substitution box along with the scrambling effect of the Arnold transform. The underlying algorithm involves the application of S-box, which is the most imperative source to create confusion and diffusion in the data. The speciality of the proposed algorithm lies, firstly, in the high sensitivity of our S-box to the choice of the initial conditions which makes this S-box stronger than the chaos-based S-boxes as it saves computational labour by deploying a comparatively simple and direct approach based on the algebraic structure of the multiplicative cyclic group of the Galois field. Secondly the proposed method becomes more secure by considering a combination of S-box with certain number of iterations of the Arnold transform. The strength of the S-box is examined in terms of various performance indices such as nonlinearity, strict avalanche criterion, bit independence criterion, linear and differential approximation probabilities etc. We prove through the most significant techniques used for the statistical analyses of the encrypted image that our image encryption algorithm satisfies all the necessary criteria to be usefully and reliably implemented in image encryption applications.
ISSN:2092-6731
2092-6731
DOI:10.1007/s13319-017-0135-x