A novel image encryption scheme based on elliptic curves and coupled map lattices

被引:16
|
作者
Azam, Naveed Ahmed [1 ,2 ]
Murtaza, Ghulam [2 ]
Hayat, Umar [2 ]
机构
[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Kyoto, Japan
[2] Quaid i Azam Univ, Dept Math, Islamabad, Pakistan
来源
OPTIK | 2023年 / 274卷
关键词
Coupled map lattices; Image encryption; Random number; Elliptic curve; Group law; Substitution-box; HYBRID CHAOTIC SYSTEM; ALGORITHM; EFFICIENT; CRYPTOSYSTEM; PERMUTATION; DIFFUSION;
D O I
10.1016/j.ijleo.2023.170517
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The security of digital images has become the main concern due to the rapid rise in the sharing of data over the Internet and open networks. Recently many image cryptosystems are introduced to secretly share data but have some efficiency issues and drawbacks. Couple map lattices (CMLs) chaotic-systems and elliptic curves (ECs) are widely used in cryptography due to their long period and random behavior. A novel and secure image encryption algorithm based on ECs and CMLs is proposed for the real-time transmission of images with the aim to overcome the shortcomings of traditional encryption algorithms. The encryption procedure is mainly divided into two steps. In the first step, EC-based pseudo-random-numbers are used to create diffusion in the plain-image. In the second step, a substitution-box generator based on ECs and CMLs is designed to create confusion in the diffused image. The proposed encryption scheme has a large keyspace and is robust against the brute-force attacks. The use of a CMLs chaotic-system makes the encryption algorithm secure against the known-plaintext attack. The computation time of the newly constructed scheme is very low as it takes only 0.641 s to encrypt an image of size 256 x 256. The outcome of the experimental and statistical analysis shows that the proposed encryption algorithm is highly secure and can outperform some state-of-the-art schemes.
引用
收藏
页数:19
相关论文
共 50 条
  • [31] Image Encryption Using Elliptic Curves and Rossby/Drift Wave Triads
    Ullah, Ikram
    Hayat, Umar
    Bustamante, Miguel D.
    ENTROPY, 2020, 22 (04)
  • [32] A Novel Image Encryption Scheme Based on Dynamical Multiple Chaos and Baker Map
    Tong, XiaoJun
    Liu, Yang
    Zhang, Miao
    Wang, Zhu
    2012 11TH INTERNATIONAL SYMPOSIUM ON DISTRIBUTED COMPUTING AND APPLICATIONS TO BUSINESS, ENGINEERING & SCIENCE (DCABES), 2012, : 285 - 289
  • [33] A novel single kernel parallel image encryption scheme based on a chaotic map
    Bezerra, Joao Inacio Moreira
    Molter, Alexandre
    Machado, Gustavo
    Soares, Rafael Iankowski
    Camargo, Vinicius Valduga de Almeida
    JOURNAL OF REAL-TIME IMAGE PROCESSING, 2024, 21 (04)
  • [34] An image encryption scheme based on quantum logistic map
    Akhshani, A.
    Akhavan, A.
    Lim, S. -C.
    Hassan, Z.
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2012, 17 (12) : 4653 - 4661
  • [35] A Novel Image Encryption Scheme Based on Collatz Conjecture
    Ballesteros, Dora M.
    Pena, Jimmy
    Renza, Diego
    ENTROPY, 2018, 20 (12):
  • [36] Digital image encryption with chaotic map lattices
    Sun Fu-Yan
    Lue Zong-Wang
    CHINESE PHYSICS B, 2011, 20 (04)
  • [37] An innovative image encryption scheme based on chaotic map and Vigenere scheme
    Bansal, Ritesh
    Gupta, Shailender
    Sharma, Gaurav
    MULTIMEDIA TOOLS AND APPLICATIONS, 2017, 76 (15) : 16529 - 16562
  • [38] Cryptanalysis and enhancement of an image encryption scheme based on a 1-D coupled Sine map
    Liu, Yu
    Qin, Zheng
    Liao, Xiaofeng
    Wu, Jiahui
    NONLINEAR DYNAMICS, 2020, 100 (03) : 2917 - 2931
  • [39] Novel Image Encryption Scheme Based on Chebyshev Polynomial and Duffing Map
    Stoyanov, Borislav
    Kordov, Krasimir
    SCIENTIFIC WORLD JOURNAL, 2014,
  • [40] Image encryption using chaotic coupled map lattices with time-varying delays
    Tang, Yang
    Wang, Zidong
    Fang, Jian-an
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (09) : 2456 - 2468