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基于椭圆曲线的伪随机数生成器的通用框架及其在图像加密中的应用。

A generalized framework for elliptic curves based PRNG and its utilization in image encryption.

作者信息

AbdElHaleem Sherif H, Abd-El-Hafiz Salwa K, Radwan Ahmed G

机构信息

Engineering Mathematics Department, Faculty of Engineering, Cairo University, Giza, 12613, Egypt.

School of Engineering and Applied Sciences, Nile University, Giza, 12588, Egypt.

出版信息

Sci Rep. 2022 Aug 2;12(1):13278. doi: 10.1038/s41598-022-17045-x.

DOI:10.1038/s41598-022-17045-x
PMID:35918396
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9346143/
Abstract

In the last decade, Elliptic Curves (ECs) have shown their efficacy as a safe fundamental component in encryption systems, mainly when used in Pseudorandom Number Generator (PRNG) design. This paper proposes a framework for designing EC-based PRNG and maps recent PRNG design techniques into the framework, classifying them as iterative and non-iterative. Furthermore, a PRNG is designed based on the framework and verified using the National Institute of Standards and Technology (NIST) statistical test suite. The PRNG is then utilized in an image encryption system where statistical measures, differential attack measures, the NIST statistical test suite, and system key sensitivity analysis are used to demonstrate the system's security. The results are good and promising as compared with other related work.

摘要

在过去十年中，椭圆曲线（ECs）已证明其作为加密系统中安全基础组件的有效性，主要是在用于伪随机数生成器（PRNG）设计时。本文提出了一个基于椭圆曲线的伪随机数生成器设计框架，并将最近的伪随机数生成器设计技术映射到该框架中，将它们分类为迭代式和非迭代式。此外，基于该框架设计了一个伪随机数生成器，并使用美国国家标准与技术研究院（NIST）统计测试套件进行了验证。然后将该伪随机数生成器应用于图像加密系统，其中使用统计度量、差分攻击度量、NIST统计测试套件和系统密钥敏感性分析来证明系统的安全性。与其他相关工作相比，结果良好且前景乐观。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/8c210a15738e/41598_2022_17045_Fig13_HTML.jpg
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https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/8c68bc3fc4a6/41598_2022_17045_Fig5_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/1a9158165165/41598_2022_17045_Fig6_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/73662b04d1f0/41598_2022_17045_Fig7_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/3615896f9265/41598_2022_17045_Fig8_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/7a5ccd7bd9ca/41598_2022_17045_Fig9_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/86a270ca80f3/41598_2022_17045_Fig10_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/6ba8e55a7725/41598_2022_17045_Fig11_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/27cb5d4d7702/41598_2022_17045_Fig12_HTML.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0ff5/9346143/8c210a15738e/41598_2022_17045_Fig13_HTML.jpg

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本文引用的文献

1
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A new image encryption scheme based on fractional-order hyperchaotic system and multiple image fusion.一种基于分数阶超混沌系统和多图像融合的新型图像加密方案。
Sci Rep. 2021 Aug 3;11(1):15737. doi: 10.1038/s41598-021-94748-7.
3
A Secure and Efficient ECC-Based Scheme for Edge Computing and Internet of Things.一种用于边缘计算和物联网的基于椭圆曲线密码体制的安全高效方案。
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Sensors (Basel). 2023 Jul 21;23(14):6589. doi: 10.3390/s23146589.
Sensors (Basel). 2020 Oct 29;20(21):6158. doi: 10.3390/s20216158.
4
Quantum-inspired cascaded discrete-time quantum walks with induced chaotic dynamics and cryptographic applications.具有诱导混沌动力学和密码学应用的量子启发级联离散时间量子行走
Sci Rep. 2020 Feb 6;10(1):1930. doi: 10.1038/s41598-020-58636-w.
5
Symmetric encryption algorithms using chaotic and non-chaotic generators: A review.对称加密算法使用混沌和非混沌发生器：综述。
J Adv Res. 2016 Mar;7(2):193-208. doi: 10.1016/j.jare.2015.07.002. Epub 2015 Aug 1.
6
Communication theory of secrecy systems. 1945.保密系统的通信理论。1945年。
MD Comput. 1998 Jan-Feb;15(1):57-64.