一种基于命题逻辑编码的混沌图像加密算法

Haiping Chang, Erfu Wang, Jia Liu
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引用次数: 1

摘要

本文提出了一种新的混沌系统2D-HLM,它是Henon映射和logistic映射的结合。SHA-256算法基于明文图像生成初始值,增强了与明文的相关性。因此,该算法避免了被选择性明文攻击容易破解的缺点。利用2D-HLM产生的混沌序列对图像进行置乱,在置乱后的图像上提取位平面并进行重组。基于逻辑映射运算的两个数学命题之间的关系,提出了一种新的命题逻辑编码算法。仿真结果表明,该算法具有较大的密钥空间和较高的密钥灵敏度,能够抵御差分攻击等常见攻击。
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A Novel Chaotic Image Encryption Algorithm Based on Propositional Logic Coding
This paper proposes a new chaotic system 2D-HLM, which is a combination of Henon map and logistic map. SHA-256 algorithm based on the plaintext image produces the initial value, which enhances the correlation with the plaintext. Therefore, the algorithm avoids the disadvantages of being easily cracked by selected plaintext attacks. The chaotic sequence generated by 2D-HLM is adopted to scramble an image, and the bit plane is extracted and reorganized on the scrambled image. Based on the relationship between two mathematical propositions of the logistic map operations, a novel propositional logic coding algorithm is proposed. The simulation results show that the algorithm has large key space and high key sensitivity, and can resist common attacks such as differential attack.
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