Constructing dynamic strong S-Box using 3D chaotic map and application to image encryption

• Published in: Multimedia tools and applications Vol. 82; no. 16; pp. 23899 - 23914
• Main Authors: Liu, Hongjun, Liu, Jian, Ma, Chao
• Format: Journal Article
• Language: English
• Published: New York Springer US 01.07.2023; Springer Nature B.V
• Subjects: Algorithms; Approximation; Color imagery; Computer Communication Networks; Computer Science; Construction methods; Cryptography; Data encryption; Data Structures and Information Theory; Design; Effectiveness; Encryption; Image enhancement; Multimedia; Multimedia Information Systems; Security; Special Purpose and Application-Based Systems; Non-degeneration; Random substitution-depth; 3D improved quadratic map; S-Box
• ISSN: 1380-7501; 1573-7721
• DOI: 10.1007/s11042-022-12069-x

The main contribution is to design a cryptographically keyed strong S-Box construction method, based on a non-degenerate 3D improved quadratic map (3D-IQM). First, a 3D-IQM is constructed, dynamics analysis demonstrated its ergodicity and better randomness in phase space. Based on 3D-IQM, a keyed dynamic strong S-Box construction method is designed, which can satisfy six criteria and without fixed-point, reverse fixed-point, or short cycles. To verify its effectiveness in cryptography, the red, green and blue components of color image are encrypted using three S-Boxes, to further enhance the encryption intensity, three random substitution-depth sequences are generated to substitute each pixel with S-Box for random times. Security analysis and experimental statistics verified the algorithm’s security and effectiveness.