{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,9]],"date-time":"2026-09-09T22:45:10Z","timestamp":1788993910553,"version":"build-2803163510"},"reference-count":26,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2014,12,23]],"date-time":"2014-12-23T00:00:00Z","timestamp":1419292800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>In this paper, a new color image encryption algorithm based on a fractional-order hyperchaotic system is proposed. Firstly, four chaotic sequences are generated by a fractional-order hyperchaotic system. The parameters of such a system, together with the initial value, are regarded as the secret keys and the plain image is encrypted by performing the XOR and shuf\ufb02ing operations simultaneously. The proposed encryption scheme is described in detail with security analyses, including correlation analysis, histogram analysis, differential attacks, and key sensitivity analysis. Experimental results show that the proposed encryption scheme has big key space, and high sensitivity to keys properties, and resists statistical analysis and differential attacks, so it has high security and is suitable for color image encryption.<\/jats:p>","DOI":"10.3390\/e17010028","type":"journal-article","created":{"date-parts":[[2014,12,23]],"date-time":"2014-12-23T15:33:56Z","timestamp":1419348836000},"page":"28-38","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":45,"title":["A Color Image Encryption Algorithm Based on  a Fractional-Order Hyperchaotic System"],"prefix":"10.3390","volume":"17","author":[{"given":"Xia","family":"Huang","sequence":"first","affiliation":[{"name":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Tiantian","family":"Sun","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuxia","family":"Li","sequence":"additional","affiliation":[{"name":"College of Electrical Engineering and Automation, Shandong University of Science and Technology, Qingdao 266590, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinling","family":"Liang","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Southeast University, Nanjing 210096, China"},{"name":"CSN Research Group, Faculty of Engineering, King Abdulaziz University, Jeddah 21589,  Saudi Arabia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2014,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"409586","DOI":"10.1155\/2014\/409586","article-title":"A new one-dimensional chaotic map and its use in a novel real time image encryption scheme","volume":"2014","author":"Boriga","year":"2014","journal-title":"Adv. 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