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一种基于三维循环切比雪夫映射和椭圆曲线的高效图像加密算法。

An efficient image encryption algorithm using 3D-cyclic chebyshev map and elliptic curve.

作者信息

Kanwal Shamsa, Inam Saba, Al-Otaibi Shaha, Akbar Javaria, Siddiqui Nasir, Ashiq Muhammad

机构信息

Department of Mathematical Sciences, Fatima Jinnah Women University, Rawalpindi, Pakistan.

Department of Information Systems, College of Computer and Information Sciences, Princess Nourah bint Abdulrahman University, P. O. Box 84428, Riyadh, 11671, Saudi Arabia.

出版信息

Sci Rep. 2024 Nov 28;14(1):29626. doi: 10.1038/s41598-024-77955-w.

Abstract

With the development of internet technologies, it is now usual to communicate enormous amounts of text and visual data over networks, which calls for stringent procedures to guarantee confidentiality and integrity throughout transmission. An important part of safeguarding image communication over secure channel is cryptography. This study proposes an effective way to secure sensitive data by creating tamper-proof cryptosystems and authentication mechanisms. By employing elliptic curve cryptography (ECC) to generate secret encryption key and chaotic maps to successfully disguise and alter plain image pixel values, the technique strengthens overall system security through the use of hybrid cryptography. The method has a big enough key space to withstand brute-force attempts and exhibits robustness against statistical and differential attacks through analysis including evaluations and assessments of correlation, entropy, and histograms as well as evaluations such as NPCR, UACI, PSNR and keyspace analysis validate the efficacy of the proposed image encryption algorithm, affirming its systematic and robust nature and its capacity to offer superior image encryption protection over some existing ones.

摘要

随着互联网技术的发展,如今通过网络传输大量文本和视觉数据已很常见,这就需要严格的程序来确保整个传输过程中的保密性和完整性。保障安全通道上图像通信的一个重要部分是密码学。本研究提出了一种通过创建防篡改密码系统和认证机制来保护敏感数据的有效方法。通过采用椭圆曲线密码学(ECC)生成秘密加密密钥,并利用混沌映射成功伪装和改变普通图像像素值,该技术通过使用混合密码学增强了整体系统安全性。该方法具有足够大的密钥空间来抵御暴力破解尝试,并且通过包括相关性、熵和直方图评估以及诸如NPCR、UACI、PSNR和密钥空间分析等评估,展示了对统计攻击和差分攻击的鲁棒性,验证了所提出的图像加密算法的有效性,肯定了其系统性和鲁棒性,以及它比一些现有算法提供更优图像加密保护的能力。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/8357/11605050/539fe5152386/41598_2024_77955_Fig1_HTML.jpg

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