{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,22]],"date-time":"2026-01-22T16:45:09Z","timestamp":1769100309045,"version":"3.49.0"},"reference-count":49,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T00:00:00Z","timestamp":1615939200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Ministry of Education of Humanities and Social Science Project","award":["19YJAZH047"],"award-info":[{"award-number":["19YJAZH047"]}]},{"name":"Scientific Research Fund of Sichuan Provincial Education Department","award":["17ZB0433"],"award-info":[{"award-number":["17ZB0433"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>With increasing utilization of digital multimedia and the Internet, protection on this digital information from cracks has become a hot topic in the communication field. As a path for protecting digital visual information, image encryption plays a crucial role in modern society. In this paper, a novel six-dimensional (6D) hyper-chaotic encryption scheme with three-dimensional (3D) transformed Zigzag diffusion and RNA operation (HCZRNA) is proposed for color images. For this HCZRNA scheme, four phases are included. First, three pseudo-random matrices are generated from the 6D hyper-chaotic system. Second, plaintext color image would be permuted by using the first pseudo-random matrix to convert to an initial cipher image. Third, the initial cipher image is placed on cube for 3D transformed Zigzag diffusion using the second pseudo-random matrix. Finally, the diffused image is converted to RNA codons array and updated through RNA codons tables, which are generated by codons and the third pseudo-random matrix. After four phases, a cipher image is obtained, and the experimental results show that HCZRNA has high resistance against well-known attacks and it is superior to other schemes.<\/jats:p>","DOI":"10.3390\/e23030361","type":"journal-article","created":{"date-parts":[[2021,3,17]],"date-time":"2021-03-17T11:48:22Z","timestamp":1615981702000},"page":"361","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":50,"title":["Hyper-Chaotic Color Image Encryption Based on Transformed Zigzag Diffusion and RNA Operation"],"prefix":"10.3390","volume":"23","author":[{"given":"Duzhong","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu 611130, China"}]},{"given":"Lexing","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu 611130, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1546-8015","authenticated-orcid":false,"given":"Taiyong","family":"Li","sequence":"additional","affiliation":[{"name":"School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu 611130, China"}]}],"member":"1968","published-online":{"date-parts":[[2021,3,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1289","DOI":"10.1007\/s12652-019-01385-0","article-title":"A chaotic colour image encryption scheme combining Walsh\u2013Hadamard transform and Arnold\u2013Tent maps","volume":"11","author":"Sneha","year":"2020","journal-title":"J. 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