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基于一维混沌映射伪轨道的图像加密

Image encryption based on the pseudo-orbits from 1D chaotic map.

作者信息

Nepomuceno Erivelton G, Nardo Lucas G, Arias-Garcia Janier, Butusov Denis N, Tutueva Aleksandra

机构信息

Control and Modelling Group (GCOM), Department of Electrical Engineering, Federal University of São João del-Rei, São João del-Rei, MG 36307-352, Brazil.

Department of Electronic Engineering, Federal University of Minas Gerais, Belo Horizonte, MG 31270-901, Brazil.

出版信息

Chaos. 2019 Jun;29(6):061101. doi: 10.1063/1.5099261.

DOI:10.1063/1.5099261
PMID:31266342
Abstract

Chaotic systems have been extensively applied in image encryption as a source of randomness. However, dynamical degradation has been pointed out as an important limitation of this procedure. To overcome this limitation, this paper presents a novel image encryption scheme based on the pseudo-orbits of 1D chaotic maps. We use the difference of two pseudo-orbits to generate a random sequence. The generated sequence has been successful in all NIST tests, which implies it has adequate randomness to be employed in encryption process. Confusion and diffusion requirements are also effectively implemented. The usual low key space of 1D maps has been improved by a novelty procedure based on multiple perturbations in the transient time. A factor using the plain image is one of the perturbation conditions, which ensures a new and distinct secret key for each image to be encrypted. The proposed encryption scheme has been efficaciously verified using the Lena, Baboon, and Barbara test images.

摘要

混沌系统作为一种随机性来源已被广泛应用于图像加密。然而,动力学退化已被指出是该过程的一个重要限制。为了克服这一限制,本文提出了一种基于一维混沌映射伪轨道的新型图像加密方案。我们使用两个伪轨道的差值来生成一个随机序列。所生成的序列在所有美国国家标准与技术研究院(NIST)测试中均取得成功,这意味着它具有足够的随机性可用于加密过程。混淆和扩散要求也得到了有效实现。一维映射通常较小的密钥空间通过一种基于瞬态时间多重扰动的新颖方法得到了改进。使用明文图像的一个因素是扰动条件之一,这确保了对每个要加密的图像都有一个新的且独特的秘密密钥。所提出的加密方案已使用Lena、狒狒和Barbara测试图像进行了有效验证。

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