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In this paper, a novel triple-coupling CA model is proposed. We first apply the triple-coupling model to 1D CA to design a high-quality pseudo-random number generator (PRNG). Numerical simulation and analyses show that triple-coupling CA exhibits more complex evolutionary behavior than uncoupling CA. The pseudo-random sequence generated by triple-coupling 1D CA can pass all NIST SP800-22 tests. Subsequently, the triple-coupling model is also applied to 2D CA, and a novel image encryption scheme based on this model is proposed. Thanks to the triple-coupling model, the diffusion operation can be completed between different color channels of the color image. Experimental simulations and extensive cryptanalysis show that the image encryption algorithm using the triple-coupling model has superior security and high efficiency. <\/jats:p>","DOI":"10.1142\/s0218127422501929","type":"journal-article","created":{"date-parts":[[2022,11,3]],"date-time":"2022-11-03T06:40:11Z","timestamp":1667457611000},"source":"Crossref","is-referenced-by-count":2,"title":["Triple-Coupling Cellular Automata and Their Application to Image Encryption"],"prefix":"10.1142","volume":"32","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5767-5899","authenticated-orcid":false,"given":"Ping","family":"Ping","sequence":"first","affiliation":[{"name":"College of Computer and Information, Hohai University, Nanjing 210094, P. R. China"},{"name":"The Key Laboratory of Water Big Data Technology, of Ministry of Water Resources, Hohai University, Nanjing 211106, P. R. 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