中国物理B ›› 2024, Vol. 33 ›› Issue (10): 104205-104205.doi: 10.1088/1674-1056/ad6257

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Image encryption algorithm based on multiple chaotic systems and improved Joseph block scrambling

Dingkang Mou(牟定康) and Yumin Dong(董玉民)†   

  1. College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, China
  • 收稿日期:2024-06-19 修回日期:2024-07-08 接受日期:2024-07-12 出版日期:2024-10-15 发布日期:2024-10-15
  • 通讯作者: Yumin Dong E-mail:dym@cqnu.edu.cn
  • 基金资助:
    Project supported by the Open Fund of Advanced Cryptography and System Security Key Laboratory of Sichuan Province (Grant No. SKLACSS-202208), the Natural Science Foundation of Chongqing (Grant No. CSTB2023NSCQLZX0139), and the National Natural Science Foundation of China (Grant No. 61772295).

Image encryption algorithm based on multiple chaotic systems and improved Joseph block scrambling

Dingkang Mou(牟定康) and Yumin Dong(董玉民)†   

  1. College of Computer and Information Science, Chongqing Normal University, Chongqing 400047, China
  • Received:2024-06-19 Revised:2024-07-08 Accepted:2024-07-12 Online:2024-10-15 Published:2024-10-15
  • Contact: Yumin Dong E-mail:dym@cqnu.edu.cn
  • Supported by:
    Project supported by the Open Fund of Advanced Cryptography and System Security Key Laboratory of Sichuan Province (Grant No. SKLACSS-202208), the Natural Science Foundation of Chongqing (Grant No. CSTB2023NSCQLZX0139), and the National Natural Science Foundation of China (Grant No. 61772295).

摘要: With the rapid development of digital information technology, images are increasingly used in various fields. To ensure the security of image data, prevent unauthorized tampering and leakage, maintain personal privacy, and protect intellectual property rights, this study proposes an innovative color image encryption algorithm. Initially, the Mersenne Twister algorithm is utilized to generate high-quality pseudo-random numbers, establishing a robust basis for subsequent operations. Subsequently, two distinct chaotic systems, the autonomous non-Hamiltonian chaotic system and the tent-logistic-cosine chaotic mapping, are employed to produce chaotic random sequences. These chaotic sequences are used to control the encoding and decoding process of the DNA, effectively scrambling the image pixels. Furthermore, the complexity of the encryption process is enhanced through improved Joseph block scrambling. Thorough experimental verification, research, and analysis, the average value of the information entropy test data reaches as high as 7.999. Additionally, the average value of the number of pixels change rate (NPCR) test data is 99.6101%, which closely approaches the ideal value of 99.6094%. This algorithm not only guarantees image quality but also substantially raises the difficulty of decryption.

关键词: mersenne twister algorithm, DNA coding confusion, pixel XOR operation, improved Joseph block scrambling

Abstract: With the rapid development of digital information technology, images are increasingly used in various fields. To ensure the security of image data, prevent unauthorized tampering and leakage, maintain personal privacy, and protect intellectual property rights, this study proposes an innovative color image encryption algorithm. Initially, the Mersenne Twister algorithm is utilized to generate high-quality pseudo-random numbers, establishing a robust basis for subsequent operations. Subsequently, two distinct chaotic systems, the autonomous non-Hamiltonian chaotic system and the tent-logistic-cosine chaotic mapping, are employed to produce chaotic random sequences. These chaotic sequences are used to control the encoding and decoding process of the DNA, effectively scrambling the image pixels. Furthermore, the complexity of the encryption process is enhanced through improved Joseph block scrambling. Thorough experimental verification, research, and analysis, the average value of the information entropy test data reaches as high as 7.999. Additionally, the average value of the number of pixels change rate (NPCR) test data is 99.6101%, which closely approaches the ideal value of 99.6094%. This algorithm not only guarantees image quality but also substantially raises the difficulty of decryption.

Key words: mersenne twister algorithm, DNA coding confusion, pixel XOR operation, improved Joseph block scrambling

中图分类号:  (Image forming and processing)

  • 42.30.Va
07.05.Pj (Image processing)