文章摘要
靳旭文,李国东,刘雯.基于3D-CS混沌系统的双DNA编码图像加密算法[J].包装工程,2021,42(3):259-269.
JIN Xu-wen,LI Guo-dong,LIU Wen.Image Encryption Algorithm Based on 3D-CS Chaotic System and Dual DNA Coding[J].Packaging Engineering,2021,42(3):259-269.
基于3D-CS混沌系统的双DNA编码图像加密算法
Image Encryption Algorithm Based on 3D-CS Chaotic System and Dual DNA Coding
投稿时间:2020-06-18  
DOI:10.19554/j.cnki.1001-3563.2021.03.037
中文关键词: 双DNA编码  约瑟夫环  RGB分层  三维Chebyshev-Sine混沌映射  图像加密
英文关键词: double DNA code  Joseph ring  RGB layered  3D Chebyshev-Sine mapping (3D-CS)  image encryption
基金项目:国家自然科学基金(11461063);新疆维吾尔自治区自然科基金(2017D01A24);新疆财经大学基金(2019XTD002)
作者单位
靳旭文 新疆财经大学 统计与数据科学学院乌鲁木齐 830012 
李国东 新疆财经大学 统计与数据科学学院乌鲁木齐 830012 
刘雯 新疆财经大学 统计与数据科学学院乌鲁木齐 830012 
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中文摘要:
      目的 为解决加密算法中明文与混沌系统密钥关联小,且置乱扩散不能同步进行造成的安全性低的问题。在结合Chebyshev和Sine映射的基础上,新建三维Chebyshev-Sine混沌映射系统(3D-CS),提出一种基于3D-CS混沌系统的双DNA编码图像加密算法。方法 设定二进制与四进制双重DNA编码,利用约瑟夫环变换对经过二进制DNA编码的图像RGB各层进行位置索引,同时完成置乱和扩散,然后将混沌系统产生的序列值经过处理后进行四进制DNA编码,最后将2种DNA序列进行加法运算后解码得到密文。结果 仿真实验表明,索引序列和混沌序列通过了随机性检验,密文各层NPCR值分别为99.63%,99.61%,99.59%,UACI值分别为33.43%,33.44%,33.40%,信息熵分别为7.9992,7.9991,7.9993。结论 所设计的混沌序列相较于其他混沌序列有一定优势,针对提出的问题有效提高了加密算法的安全性,密文能有效地抵御各种统计攻击与差分攻击。
英文摘要:
      The work aims to solve the low security problem caused by the small correlation between plaintext and chaotic system keys, and the synchronization failure of scrambling and diffusion. On the basis of combining Chebyshev and Sine mapping, a 3D chaotic mapping system (3D-CS) was constructed. A double DNA encoding image encryption algorithm based on 3D-CS chaotic system was proposed. The binary and quaternary dual DNA encoding was set. The Joseph ring transform was used to index the position of RGB layers of image encoded by binary DNA to complete both scrambling and diffusion synchronously. Then the sequence values generated by the chaotic system were processed and encoded with quaternary DNA. Finally, the two DNA sequences were added and decoded to obtain the ciphertext. Simulation experiment showed that index sequences and chaotic sequences were tested by randomness. The NPCR values of each layer of ciphertext were 99.63%, 99.61% and 99.59%, and the UACI values were 33.43%, 33.44% and 33.40%, respectively. The entropy of information were 7.9992, 7.9991 and 7.9993. Compared with other chaotic sequences, the chaotic ciphertext has some advantages over other chaotic system sequences. It can effectively improve the security of encryption algorithm and resist statistical attacks and differential attacks.
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