Secure Parallel Image Cryptographic Hash Function Using a Novel 2D High-Randomness Hyperchaotic Map

Mingrui Qi () and Dongdong Wang
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Mingrui Qi: Sydney Smart Technology College, Northeastern University, Shenyang 110819, China
Dongdong Wang: School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China

Mathematics, 2025, vol. 13, issue 11, 1-18

Abstract: For image data, the processing of each pixel using a cryptographic hash function is linear, and the existing cryptographic hash function lacks parallel processing of image width and height. In order to improve the computational efficiency and ensure the security of the hash function in image cryptography, we design a 2D hyperchaotic map, whose good chaotic dynamics and randomness fully meet the needs of the hash function. Based on the proposed mapping, we propose an image-specific chaotic hash function for confusion diffusion and extraction in both width and height dimensions in parallel. The designed hash function of image cryptography can set some common hash lengths and also support the setting of key. For image data, the proposed method has higher computational efficiency than other common hash functions and has good encryption security and anti-collision characteristics.

Keywords: image processing; hash function; chaotic map; chaos (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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