{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T19:49:33Z","timestamp":1780429773056,"version":"3.54.1"},"reference-count":35,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T00:00:00Z","timestamp":1599782400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["U1836205, 61662009 and 61772008"],"award-info":[{"award-number":["U1836205, 61662009 and 61772008"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"the open Foundation of Guizhou Provincial Key Laboratory of Public Big Data","award":["2017BDKFJJ023 and 2017BDKFJJ026"],"award-info":[{"award-number":["2017BDKFJJ023 and 2017BDKFJJ026"]}]},{"name":"the Science and Technology Foundation of  Guizhou","award":["Guizhou Science-Contract-Major-Program [2018]3001,Guizhou-Science-Contract-Major- Program [2018]3007, Guizhou-Science-Contract-Major-Program [2017]3002,Guizhou-Science-Contract- Support [2019]2004, Guizhou-Science-Contract-Support [2018]2162, Guizhou-Scie"],"award-info":[{"award-number":["Guizhou Science-Contract-Major-Program [2018]3001,Guizhou-Science-Contract-Major- Program [2018]3007, Guizhou-Science-Contract-Major-Program [2017]3002,Guizhou-Science-Contract- Support [2019]2004, Guizhou-Science-Contract-Support [2018]2162, Guizhou-Scie"]}]},{"name":"Scientific Research Foundation of Guizhou province","award":["QKHPTRC[2017]5788"],"award-info":[{"award-number":["QKHPTRC[2017]5788"]}]},{"name":"The Project of Innovative Group in Guizhou Education Department","award":["[2013]09"],"award-info":[{"award-number":["[2013]09"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>To ensure the security of digital images during transmission and storage, an efficient and secure chaos-based color image encryption scheme using bit-level permutation is proposed. Our proposed image encryption algorithm belongs to symmetric cryptography. Here, we process three color components simultaneously instead of individually, and consider the correlation between them. We propose a novel bit-level permutation algorithm that contains three parts: a plain-image related rows and columns substitution, a pixel-level roll shift part, and a bit-level cyclic shift part. In the plain-related rows and columns substitution part, we involve the plain-image information to generate a control sequence by using a skew tent system. This process ensures that the correlation between three color components can be totally broken, and our cryptosystem has enough plain-image sensitivity to resist the differential attack. In the pixel-level roll shift part and bit-level cyclic shift part, we have a fully bit-level permutation controlled by two sequences using a Rucklidge system. The simulation and some common security analyses are given. Test results show that our proposed scheme has good security performance and a speed advantage compared to other works.<\/jats:p>","DOI":"10.3390\/sym12091497","type":"journal-article","created":{"date-parts":[[2020,9,11]],"date-time":"2020-09-11T09:05:16Z","timestamp":1599815116000},"page":"1497","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":80,"title":["A Novel Chaos-Based Color Image Encryption Scheme Using Bit-Level Permutation"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1691-3384","authenticated-orcid":false,"given":"Zhen","family":"Li","sequence":"first","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"},{"name":"College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8733-4596","authenticated-orcid":false,"given":"Changgen","family":"Peng","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6590-5757","authenticated-orcid":false,"given":"Weijie","family":"Tan","sequence":"additional","affiliation":[{"name":"College of Computer Science and Technology, State Key Laboratory of Public Big Data, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7760-9146","authenticated-orcid":false,"given":"Liangrong","family":"Li","sequence":"additional","affiliation":[{"name":"College of Big Data and Information Engineering, Guizhou University, Guiyang 550025, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,9,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2293","DOI":"10.1007\/s11071-015-2481-7","article-title":"A chaotic map-control-based and the plain image-related cryptosystem","volume":"83","author":"Luo","year":"2015","journal-title":"Nonlinear Dyn."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"305","DOI":"10.1007\/s11071-018-4056-x","article-title":"Brief review on application of nonlinear dynamics in image encryption","volume":"92","year":"2018","journal-title":"Nonlinear Dyn."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"3056","DOI":"10.1016\/j.cnsns.2008.11.005","article-title":"A new substitution\u2013diffusion based image cipher using chaotic standard and logistic maps","volume":"14","author":"Patidar","year":"2009","journal-title":"Commun. 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