基于超混沌系统的多权限多图像加密算法
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Multi-authority Multi-image Encryption Algorithm Based on Hyperchaotic System
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    摘要:

    为有效改善多图像加密质量及其对数据传输的安全性, 提出一种基于超混沌系统的多权限多图像加密算法. 首先, 将L幅明文图像分别进行分段线性混沌映射(piece-wise linear chaotic map, PWLCM)的双层交叉耦合操作, 并通过异或进行合并得到类噪声图像; 接着, 采用最低有效位嵌入算法将类噪声图像嵌入到第L+1幅明文图像信息中, 得到半加密图像; 最后, 通过结合一维的cubic映射和一维帐篷映射, 产生一个二维cubic-帐篷混沌映射(two-dimensional cubic-tent modular map, 2D-CTMM), 利用其对半加密图像扩散后进行双层阶梯置乱, 得到密文图像. 实验结果表明: 所提方法对明文以及密钥十分敏感, 密钥空间大, 可以有效抵御统计攻击和差分攻击, 并且该算法在保证安全性的前提下, 实现了用户多权限解密以及用户部分解密工作.

    Abstract:

    To effectively improve the quality of multi-image encryption and its security for data transmission, this study proposes a multi-authority multi-image encryption algorithm based on a hyperchaotic system. Specifically, bilayer cross-coupling based on the piece-wise linear chaotic map (PWLCM) is applied to L plaintext images respectively. The results are merged by exclusive-OR (XOR) to obtain a noise-like image. Then, the least significant bit embedding algorithm is used to embed the noise-like image into the (L+1)th plaintext image to obtain a semi-encrypted image. Finally, a one-dimensional cubic map is combined with a one-dimensional tent map to generate a two-dimensional cubic-tent modular map (2D-CTMM). A ciphertext image is obtained by two-step scrambling of the semi-encrypted image after it is diffused with the 2D-CTMM. The experimental results show that the proposed method, highly sensitive to plaintext and key with a large key space, can effectively resist statistical attacks and differential attacks. Moreover, the proposed algorithm enables multi-authority decryption and partial decryption by different authorized users.

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白牡丹,李珊珊,张泽坤.基于超混沌系统的多权限多图像加密算法.计算机系统应用,2023,32(5):141-148

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  • 收稿日期:2022-10-01
  • 最后修改日期:2022-11-04
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  • 在线发布日期: 2023-02-10
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