An Efficient and Secure Method of Plaintext-Based Image Encryption Using Fibonacci and Tribonacci Transformations

In this article, we have proposed an efficient and secure method of image encryption. This image encryption method is new, where the plain image is confused using Fibonacci Transformation, and Tribonacci Transformation modifies the pixel values. The Fibonacci numbers and Tribonacci numbers of the above transformations are determined using the hash value of the plain image. To our knowledge, this is the first time a Tribonacci Transformation has been used in image encryption. The performance of the present method is evaluated using some standard test images and some special images. The present method has high key space and is sensitive to the plain image. The proposed method is also robust against attacks like brute force attacks, statistical attacks, differential attacks, noise attacks, cropping attacks, and known/chosen-plaintext attacks. The performance of the proposed method is equally efficient as the state-of-the-art methods, which establishes the applicability of the present method.

[1]  Xianhua Song,et al.  Efficient Entropic Security with Joint Compression and Encryption Approach Based on Compressed Sensing with Multiple Chaotic Systems , 2022, Entropy.

[2]  Yuliang Lu,et al.  Practical Secret Image Sharing Based on the Chinese Remainder Theorem , 2022, Mathematics.

[3]  Ming Li,et al.  A novel plaintext-related chaotic image encryption scheme with no additional plaintext information , 2022, Chaos, Solitons & Fractals.

[4]  Erhan Gokcay,et al.  A generalized Arnold’s Cat Map transformation for image scrambling , 2022, Multimedia Tools and Applications.

[5]  S. Kandar,et al.  Boolean operation based lossless threshold secret image sharing , 2022, Multimedia Tools and Applications.

[6]  S. Kandar,et al.  Simultaneous encryption of multiple images using pseudo-random sequences generated by modified Newton-Raphson technique , 2022, Multimedia Tools and Applications.

[7]  S. Kandar,et al.  Image encryption using permutation generated by modified Regula-Falsi method , 2022, Applied Intelligence.

[8]  D. Peraković,et al.  A Comparative Study of Privacy-Preserving Homomorphic Encryption Techniques in Cloud Computing , 2022, Int. J. Cloud Appl. Comput..

[9]  Yi Ding,et al.  DeepKeyGen: A Deep Learning-Based Stream Cipher Generator for Medical Image Encryption and Decryption , 2020, IEEE Transactions on Neural Networks and Learning Systems.

[10]  M. Brindha,et al.  A chaos based image encryption algorithm using Rubik's cube and prime factorization process (CIERPF) , 2020, J. King Saud Univ. Comput. Inf. Sci..

[11]  Lingfeng Liu,et al.  A novel image encryption algorithm based on SPWLCM and DNA coding , 2021, Math. Comput. Simul..

[12]  Amany Sarhan,et al.  An efficient color/grayscale image encryption scheme based on hybrid chaotic maps , 2021 .

[13]  Rahil Hosseini,et al.  Evolutionary-based image encryption using biomolecules and non-coupled map lattice , 2021, Optics & Laser Technology.

[14]  Rajkumar Buyya,et al.  Secure Healthcare Monitoring Sensor Cloud With Attribute-Based Elliptical Curve Cryptography , 2021, Int. J. Cloud Appl. Comput..

[15]  Xingyuan Wang,et al.  Image encryption based on compressed sensing and DNA encoding , 2021, Signal Process. Image Commun..

[16]  Xingyuan Wang,et al.  An adjustable visual image cryptosystem based on 6D hyperchaotic system and compressive sensing , 2021, Nonlinear Dynamics.

[17]  Khalid M. Hosny,et al.  New Image Encryption Algorithm Using Hyperchaotic System and Fibonacci Q-Matrix , 2021, Electronics.

[18]  Deyun Wei,et al.  A fast image encryption algorithm based on parallel compressive sensing and DNA sequence , 2021, Optik.

[19]  Chien-Chang Chen,et al.  XOR-Based Progressively Secret Image Sharing , 2021, Mathematics.

[20]  Rengarajan Amirtharajan,et al.  An efficient medical image encryption using hybrid DNA computing and chaos in transform domain , 2021, Medical & Biological Engineering & Computing.

[21]  T. Sivakumar,et al.  An Image Encryption Algorithm with Hermite Chaotic Polynomials and Scan Pattern , 2021 .

[22]  Jinjun Chen,et al.  Image encryption based on a single‐round dictionary and chaotic sequences in cloud computing , 2019, Concurr. Comput. Pract. Exp..

[23]  Ahmed Bouridane,et al.  Image Steganography: A Review of the Recent Advances , 2021, IEEE Access.

[24]  Biling Zhang,et al.  An image encryption approach on the basis of a time delay chaotic system , 2021 .

[25]  Changjun Zhou,et al.  New insights into the existing image encryption algorithms based on DNA coding , 2020, PloS one.

[26]  Shyamalendu Kandar,et al.  An image encryption scheme using sequence generated by interval bisection of polynomial function , 2020, Multimedia Tools and Applications.

[27]  Rasul Enayatifar,et al.  A novel image security technique based on nucleic acid concepts , 2020, J. Inf. Secur. Appl..

[28]  Fahmi Khalifa,et al.  A New Image Encryption Scheme Based on Hybrid Chaotic Maps , 2020, Complex..

[29]  Congxu Zhu,et al.  Secure Image Encryption Algorithm Based on Hyperchaos and Dynamic DNA Coding , 2020, Entropy.

[30]  Manjit Kaur,et al.  Color image encryption using non-dominated sorting genetic algorithm with local chaotic search based 5D chaotic map , 2020, Future Gener. Comput. Syst..

[31]  M. Brindha,et al.  Analysis of zig-zag scan based modified feedback convolution algorithm against differential attacks and its application to image encryption , 2020, Applied Intelligence.

[32]  Yicong Zhou,et al.  Cryptanalysis of a DNA-based image encryption scheme , 2020, Inf. Sci..

[33]  Rengarajan Amirtharajan,et al.  A robust medical image encryption in dual domain: chaos-DNA-IWT combined approach , 2020, Medical & Biological Engineering & Computing.

[34]  Prema T. Akkasaligar,et al.  Selective medical image encryption using DNA cryptography , 2020, Inf. Secur. J. A Glob. Perspect..

[35]  Syam Sankar,et al.  Colour image encryption algorithm combining, Arnold map, DNA sequence operation, and a Mandelbrot set , 2020, J. Inf. Secur. Appl..

[36]  Rasul Enayatifar,et al.  Binary search tree image encryption with DNA , 2020 .

[37]  M. A. Ben Farah,et al.  An image encryption scheme based on a new hybrid chaotic map and optimized substitution box , 2019, Nonlinear Dynamics.

[38]  M. Yaghoobi,et al.  A novel color image encryption algorithm based on substitution box and hyper-chaotic system with fractal keys , 2019, Multimedia Tools and Applications.

[39]  Sumit Kumar,et al.  Medical image encryption using fractional discrete cosine transform with chaotic function , 2019, Medical & Biological Engineering & Computing.

[40]  Jian-Ping Li,et al.  Medical Image Encryption Based on Hybrid Chaotic DNA Diffusion , 2019, Wireless Personal Communications.

[41]  Pu Li,et al.  A secure image encryption method using scan pattern and random key stream derived from laser chaos , 2019, Optics & Laser Technology.

[42]  Shyamalendu Kandar,et al.  Image encryption using sequence generated by cyclic group , 2019, J. Inf. Secur. Appl..

[43]  Zhenjun Tang,et al.  Image Encryption with Double Spiral Scans and Chaotic Maps , 2019, Secur. Commun. Networks.

[44]  Kritika Jain,et al.  Image Encryption Using Modified Rubik’s Cube Algorithm , 2019, Advances in Intelligent Systems and Computing.

[45]  D. Tandur,et al.  Image encryption based on modified Henon map using hybrid chaotic shift transform , 2018, Multimedia Tools and Applications.

[46]  Hejiao Huang,et al.  2D Logistic-Sine-coupling map for image encryption , 2018, Signal Process..

[47]  Sudip Kumar Sahana,et al.  A Novel Multimedia Encryption and Decryption Technique Using Binary Tree Traversal , 2018, Lecture Notes in Electrical Engineering.

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

[49]  Bibhas Chandra Dhara,et al.  Image Encryption with a New Fibonacci Transform , 2018, 2018 Fifth International Conference on Emerging Applications of Information Technology (EAIT).

[50]  S. Das,et al.  An LSB based novel data hiding method using extended LBP , 2018, Multimedia tools and applications.

[51]  Bibhas Chandra Dhara,et al.  An Image Encryption Technique using Sine Curve , 2017, 2017 Ninth International Conference on Advances in Pattern Recognition (ICAPR).

[52]  Bibhas Chandra Dhara,et al.  A new image encryption method using circle , 2017, 2017 8th International Conference on Computing, Communication and Networking Technologies (ICCCNT).

[53]  Shyamalendu Kandar,et al.  A novel image encryption technique using one dimensional chaotic map and circular shift technique , 2017, ICSCA '17.

[54]  Dr. A. S. Alvi,et al.  An Efficient Technique for Image Encryption and Decryption for Secured Multimedia Application , 2017 .

[55]  Yiran Chen,et al.  A novel chaos-based image encryption algorithm using DNA sequence operations , 2017 .

[56]  Guangchun Luo,et al.  An image encryption scheme based on chaotic tent map , 2016, Nonlinear Dynamics.

[57]  Babak Sokouti,et al.  Medical Image Encryption: An Application for Improved Padding Based GGH Encryption Algorithm , 2016, The open medical informatics journal.

[58]  Zhiliang Zhu,et al.  An image encryption scheme using nonlinear inter-pixel computing and swapping based permutation approach , 2015, Commun. Nonlinear Sci. Numer. Simul..

[59]  Zhiliang Zhu,et al.  An efficient image encryption scheme using gray code based permutation approach , 2015 .

[60]  G. S. Chandel,et al.  X-OR and Arnold Cipher Based Double Phase Image Encryption Technique , 2015 .

[61]  Xiangde Zhang,et al.  An image encryption scheme using generalized Arnold map and affine cipher , 2014 .

[62]  Manjusri Basu,et al.  Tribonacci Matrices and a New coding Theory , 2014, Discret. Math. Algorithms Appl..

[63]  Iqtadar Hussain,et al.  An extended image encryption using chaotic coupled map and S-box transformation , 2014, Nonlinear Dynamics.

[64]  Ayman Badawi,et al.  Generalized Fibonacci Sequences and Its Properties , 2014 .

[65]  Li Min,et al.  Arnold Transform Based Image Scrambling Method , 2013, ICMT 2013.

[66]  Congxu Zhu,et al.  Breaking and improving an image encryption scheme based on total shuffling scheme , 2013 .

[67]  M. C. Adhikary,et al.  Image Encryption Using Fibonacci-Lucas Transformation , 2012, ArXiv.

[68]  Xing-yuan Wang,et al.  A chaotic image encryption algorithm based on perceptron model , 2010 .

[69]  Michael Z. Spivey Fibonacci Identities via the Determinant Sum Property , 2006 .

[70]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

[71]  J.-C. Yeo,et al.  Efficient hierarchical chaotic image encryption algorithm and its VLSI realisation , 2000 .

[72]  J. Fridrich Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[73]  Xiaobo Li,et al.  Image compression and encryption using tree structures , 1997, Pattern Recognit. Lett..

[74]  Henry Ker-Chang Chang,et al.  A linear quadtree compression scheme for image encryption , 1997, Signal Process. Image Commun..

[75]  Adrian Viorel,et al.  A New Fast Image Encryption Scheme Based on 2 D Chaotic Maps , 2022 .