{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T16:35:49Z","timestamp":1772123749234,"version":"3.50.1"},"reference-count":42,"publisher":"MDPI AG","issue":"5","license":[{"start":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T00:00:00Z","timestamp":1683244800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Central Guidance on Local Science and Technology Development Fund","award":["22ZY1QA006"],"award-info":[{"award-number":["22ZY1QA006"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>Adding time delay to nonlinear systems can significantly improve their performance, making it possible to construct image-encryption algorithms with higher security. In this paper, we propose a time-delayed nonlinear combinatorial hyperchaotic map (TD-NCHM) with a wide hyperchaotic interval. Based on TD-NCHM, we develop a fast and secure image-encryption algorithm that includes a plaintext-sensitive key-generation method and a simultaneous row-column shuffling-diffusion encryption process. Plenty of experiments and simulations demonstrate the superiority of the algorithm in terms of efficiency, security, and practical value in secure communications.<\/jats:p>","DOI":"10.3390\/e25050753","type":"journal-article","created":{"date-parts":[[2023,5,5]],"date-time":"2023-05-05T03:57:31Z","timestamp":1683259051000},"page":"753","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Fast and Secure Image Encryption Algorithm with Simultaneous Shuffling and Diffusion Based on a Time-Delayed Combinatorial Hyperchaos Map"],"prefix":"10.3390","volume":"25","author":[{"given":"Yulin","family":"Shen","sequence":"first","affiliation":[{"name":"Gansu Computing Center, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jun","family":"Huang","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Lanzhou University, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lingling","family":"Chen","sequence":"additional","affiliation":[{"name":"Lanzhou Tobacco Company of Gansu Company, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Wen","sequence":"additional","affiliation":[{"name":"Gansu Computing Center, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tangyan","family":"Li","sequence":"additional","affiliation":[{"name":"Gansu Computing Center, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guidong","family":"Zhang","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Lanzhou University, Lanzhou 730030, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,5,5]]},"reference":[{"key":"ref_1","unstructured":"Stallings, W. 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