A Provable Secure Image Encryption Schema Based on Fractional Order Chaotic Systems

In the literature, many chaotic systems have been used in the design of image encryption algorithms. In this study, an application of fractional order chaotic systems is investigated. The aim of the study is to improve the disadvantageous aspects of existing methods based on discrete and continuous time chaotic systems by utilizing the features of fractional order chaotic systems. The most important advantage of the study compared to the literature is that the proposed encryption algorithm is designed with a provable security approach. Analyses results have been shown that the proposed method can be used successfully in many information security applications.

[1]  Manjit Kaur,et al.  A Comprehensive Review on Image Encryption Techniques , 2018, Archives of Computational Methods in Engineering.

[2]  Luigi Lo Iacono Understanding Cryptography , 2018, CCNA® Security Study Guide.

[3]  Hegui Zhu,et al.  2D Logistic-Modulated-Sine-Coupling-Logistic Chaotic Map for Image Encryption , 2019, IEEE Access.

[4]  Zhen Li,et al.  A novel plaintext-related image encryption scheme using hyper-chaotic system , 2018, Nonlinear Dynamics.

[5]  Feng Xu,et al.  A Chaos Based Image Encryption Scheme Using Digit-Level Permutation and Block Diffusion , 2018, IEEE Access.

[6]  Fatih Özkaynak,et al.  Brief review on application of nonlinear dynamics in image encryption , 2018, Nonlinear Dynamics.

[8]  Ahmet Bedri Özer,et al.  A new S-box construction method based on the fractional-order chaotic Chen system , 2017, Signal Image Video Process..

[9]  Mohammad-Reza Feizi-Derakhshi,et al.  A novel image encryption algorithm based on polynomial combination of chaotic maps and dynamic function generation , 2019, Signal Process..

[10]  Shibing Wang,et al.  A New Image Encryption Algorithm Based on CML and DNA Sequence , 2018, IEEE Access.

[11]  Werner Schindler,et al.  Random Number Generators for Cryptographic Applications , 2009, Cryptographic Engineering.

[12]  Hossam Diab,et al.  An Efficient Chaotic Image Cryptosystem Based on Simultaneous Permutation and Diffusion Operations , 2018, IEEE Access.

[13]  Magno T. M. Silva,et al.  A new encoding and switching scheme for chaos-based communication , 2018 .

[14]  Ali Chehab,et al.  A new efficient lightweight and secure image cipher scheme , 2017, Multimedia Tools and Applications.

[15]  조위덕 Cryptography , 1987, The Official (ISC)2 SSCP CBK Reference.

[16]  Raphael C.-W. Phan,et al.  SPRING: a novel parallel chaos-based image encryption scheme , 2018 .

[17]  Iqtadar Hussain,et al.  A noise resistant symmetric key cryptosystem based on S8 S-boxes and chaotic maps , 2018, The European Physical Journal Plus.

[19]  Dorota Mozyrska,et al.  Systems with Fractional Variable-Order Difference Operator of Convolution Type and Its Stability , 2018 .

[20]  Ahmet Dumlu Practical Position Tracking Control of a Robotic Manipulator Based on Fractional Order Sliding Mode Controller , 2018 .

[21]  Robertas Damaševičius,et al.  Fractional Delay Time Embedding of EEG Signals into High Dimensional Phase Space , 2014 .

[22]  An elegant chaos. , 2014, Nature.

[23]  Jizhao Liu,et al.  A new simple chaotic system and its application in medical image encryption , 2017, Multimedia Tools and Applications.

[24]  Chen Jian,et al.  Research on digital image encryption algorithm based on double logistic chaotic map , 2018, EURASIP J. Image Video Process..

[25]  Shuliang Sun,et al.  A Novel Hyperchaotic Image Encryption Scheme Based on DNA Encoding, Pixel-Level Scrambling and Bit-Level Scrambling , 2018, IEEE Photonics Journal.