{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,26]],"date-time":"2026-02-26T16:35:18Z","timestamp":1772123718233,"version":"3.50.1"},"reference-count":43,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2022,10,31]],"date-time":"2022-10-31T00:00:00Z","timestamp":1667174400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["11871019"],"award-info":[{"award-number":["11871019"]}]},{"name":"National Natural Science Foundation of China","award":["11771119"],"award-info":[{"award-number":["11771119"]}]},{"name":"National Natural Science Foundation of China","award":["61703149"],"award-info":[{"award-number":["61703149"]}]},{"name":"National Natural Science Foundation of China","award":["QN2019127"],"award-info":[{"award-number":["QN2019127"]}]},{"name":"National Natural Science Foundation of China","award":["YKCZ2021037"],"award-info":[{"award-number":["YKCZ2021037"]}]},{"name":"Foundation of Hebei Education Department of China","award":["11871019"],"award-info":[{"award-number":["11871019"]}]},{"name":"Foundation of Hebei Education Department of China","award":["11771119"],"award-info":[{"award-number":["11771119"]}]},{"name":"Foundation of Hebei Education Department of China","award":["61703149"],"award-info":[{"award-number":["61703149"]}]},{"name":"Foundation of Hebei Education Department of China","award":["QN2019127"],"award-info":[{"award-number":["QN2019127"]}]},{"name":"Foundation of Hebei Education Department of China","award":["YKCZ2021037"],"award-info":[{"award-number":["YKCZ2021037"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, a new combinatorial structure is introduced for image encryption, which has an excellent encryption effect on security and efficiency. An n-transversal in a Latin square has the function of classifying all the matrix\u2019s positions, and it can provide a pair of orthogonal Latin squares. Employing an n-transversal of a Latin square, we can permutate all the pixels of an image group by group for the first time, then use two Latin squares for auxiliary diffusion based on a chaotic sequence, and finally, make use of a pair of orthogonal Latin squares to perform the second scrambling. The whole encryption process is \u201cscrambling\u2013diffusion\u2013scrambling\u201d. The experimental results indicated that this algorithm passed various tests and achieved a secure and fast encryption effect, which outperformed many of the latest papers. The final information entropy was very close to 8, and the correlation coefficient was approximately 0. All these tests verified the robustness and practicability of the proposed algorithm.<\/jats:p>","DOI":"10.3390\/e24111574","type":"journal-article","created":{"date-parts":[[2022,10,31]],"date-time":"2022-10-31T23:26:32Z","timestamp":1667258792000},"page":"1574","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":19,"title":["A New Chaotic Image Encryption Algorithm Based on Transversals in a Latin Square"],"prefix":"10.3390","volume":"24","author":[{"given":"Honglian","family":"Shen","sequence":"first","affiliation":[{"name":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China"},{"name":"Department of Mathematics and Computer Science, Hengshui University, Hengshui 053000, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiuling","family":"Shan","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ming","family":"Xu","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zihong","family":"Tian","sequence":"additional","affiliation":[{"name":"School of Mathematical Sciences, Hebei Normal University, Shijiazhuang 050024, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,31]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"506","DOI":"10.1016\/j.ins.2021.06.032","article-title":"A novel triple-image encryption and hiding algorithm based on chaos, compressive sensing and 3D DCT","volume":"574","author":"Wang","year":"2021","journal-title":"Inform. 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