Design and Development of Multidimensional Chaotic Maps with Genetic Operator

Full Text (PDF, 962KB), PP.12-25

Views: 0 Downloads: 0


Sudeep Nooly B 1,* Ravindra S 1

1. JNN College of Engineering/Department of Computer Science and Engineering, Shimoga, 577204, India

* Corresponding author.


Received: 29 Nov. 2022 / Revised: 23 Dec. 2022 / Accepted: 29 Jan. 2023 / Published: 8 Aug. 2023

Index Terms

Multidimensional Chaotic Maps, Statisical Analysis, Image Encryption


Security of a digital image can be achieved in number of ways including image Encryption and Decryption. Encryption technique tries to convert a plain image into the cipher image which is hard to understand. The decryption technique tries to convert a cipher image into the plain image. The image encryption is done inorder to provide security from attacks. In this work we aim to develop an image encryption technique based on multidimensional chaotic map with genetic operator. One of the powerful features of genetic operator is crossover which is used to confuse the pixels of the image. A combination of multidimensional chaotic maps, namely, Logistic, Henon and Chebyshev will be used to generate pseudorandom sequence which will be XOR'ed to obtain an unpredictable sequence. This sequence will be then applied to the Crossover unit and upon XOR'ed to obtain an encrypted image. Later the same upredictable sequence is generated while decrypting the image. By combining the entire different dimensional chaotic map namely Logistic, Henon, Chebyshev map along with the gentic operator called crossover will enhance the extra security to the digital image.

Cite This Paper

Sudeep Nooly B, Ravindra S, "Design and Development of Multidimensional Chaotic Maps with Genetic Operator", International Journal of Mathematical Sciences and Computing(IJMSC), Vol.9, No.3, pp. 12-25, 2023. DOI:10.5815/ijmsc.2023.03.02


[1]Muhammad Usama, Muhammad Khurram Khan, Khaled Alghathbar and Changhoon Lee, “Chaos-based secure satellite imagery cryptosystem”, In Journal of Computers and Mathematics With Applications, July 2010.
[2]El-Sayed M. El-Alfy, Khaled A. Al-Utaibi, “An Encryption Scheme for Color Images Based on Chaotic Maps and Genetic Operators”, In Proceeding Seventh International Conference on Networking and Services, 2011.
[3]Qiu Zhang, “Study on Image Encryption Algorithm Based on Chaotic Theory”, In Proceeding of International Conference on Information Science and Cloud Computing Companion, 2013.
[4]Jansher Khan, Jawad Ahmad, Seong Oun Hwang, “An Efficient Image Encryption Scheme Based on : Henon Map, Skew Tent Map and S-Box”, In Proceeding of Sixth International Conference on Modeling, Simulation and Applied Optimization (ICMSAO), 2015.
[5]Mohammad Javidi, Roghiyeh Hosseinpourfard, “Chaos Genetic Algorithm Instead Genetic Algorithm”, In Proceeding the International Arab Journal of Information Technology, March 2015.
[6]Govind Chandra, Naveen Chandra, Swati Verma, “A Review on Multiple Chaotic Maps for Image Encryption with Cryptographic Technique”, In Proceeding of International Journal of Computer Application, July 2015.
[7]Mohammed A. Alzain, Osama S. Faragallah, “Efficient Chaotic Tent Map-based Image Cryptosystem”. In Proceeding of Internaional Journal of Computer Application, 2017.
[8]Marwa Tarek Elkandoz, “Logistic Sine Map Based Image Encryption”. In Proceeding of Signal Processing : Algorithms, Architectures, Arrangements and Application (SPA), 2019.
[9]Kanika Suneja, Shelza Dua, Mohit Dua, “A Review of Chaos based Image Encryption”, In Proceedings of the Third International Conference on Computing Methodologies and Commuication (ICCMC), 2019.
[10]B. Sai Kumar, L. Vikhyath, R. Geetha Krishna Pavansai, “Image Encryption Using Chaos Maps”, In Proceeding of International Journal of Scientific & Engineering Research, 2021.
[11]Sudeep Nooly B, Ravindra S, “A Survey on Multidimensional Chaotic Maps and Genetic Operator”, In Proceeding of International Journal for Reserch in Applied Science and Engineering Technology, April 2022.
[12]Fei Qi, Sijiang Huang, Tong Li, Haotian Yang and Xuejing Kang,” 2D Henon-Chebyshev Chaotic Map for Image Encryption”, In the Proceeding of 21st International Conference on High Performance Computing and Communications, 2019.
[13]M. Sabery. K, M.Yaghoobi, “A New Apporach for Image Encryption using Chaotic Logistic Map”, In Proceeding of International Conference on Advance Computer Theory and Engineering”, 2008.
[14]Diya Achu Pradeep, A Harsha, Jaison Jacob, “Image Encryption Using Chaotic Map And Related Analysis”, In Proceeding of International Conference on Advances in Computing and Communication (ICACC), 2021.
[15]Yanru Zhong, Huayi Liu, Rushi Lan, Ting Wang, Xiyan Sun, Xiaonan Luo, “ 2D Chebyshev-Sine Map for Image Encryption”, In Proceeding of Seventh International Conference on Digital Home (ICDH)”, 2018.