{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T10:53:35Z","timestamp":1760784815759,"version":"3.37.3"},"reference-count":43,"publisher":"Springer Science and Business Media LLC","issue":"27-28","license":[{"start":{"date-parts":[[2020,3,15]],"date-time":"2020-03-15T00:00:00Z","timestamp":1584230400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2020,3,15]],"date-time":"2020-03-15T00:00:00Z","timestamp":1584230400000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61672124"],"award-info":[{"award-number":["61672124"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Password Theory Project of the 13th Five-Year Plan National Cryptography Development Fund","award":["MMJJ20170203"],"award-info":[{"award-number":["MMJJ20170203"]}]},{"name":"Liaoning Province Science and Technology Innovation Leading Talents Program Project","award":["XLYC1802013"],"award-info":[{"award-number":["XLYC1802013"]}]},{"name":"Key R&D Projects of Liaoning Province","award":["2019020105-JH2\/103"],"award-info":[{"award-number":["2019020105-JH2\/103"]}]},{"name":"Jinan City \u201820 universities\u2019 Funding Projects Introducing Innovation Team Program","award":["2019GXRC031"],"award-info":[{"award-number":["2019GXRC031"]}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Multimed Tools Appl"],"published-print":{"date-parts":[[2020,7]]},"DOI":"10.1007\/s11042-020-08810-z","type":"journal-article","created":{"date-parts":[[2020,3,15]],"date-time":"2020-03-15T08:36:43Z","timestamp":1584261403000},"page":"19005-19024","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":18,"title":["Fast image encryption algorithm based on parallel permutation-and-diffusion strategy"],"prefix":"10.1007","volume":"79","author":[{"given":"Xingyuan","family":"Wang","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Hongyu","family":"Zhao","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2020,3,15]]},"reference":[{"issue":"12","key":"8810_CR1","doi-asserted-by":"crossref","first-page":"3847","DOI":"10.1007\/s00521-017-2970-3","volume":"30","author":"J Ahmad","year":"2018","unstructured":"Ahmad J, Khan MA, Ahmed F, Khan JS (2018) A novel image encryption scheme based on orthogonal matrix, skew tent map, and XOR operation. Neural Comput Appl 30(12):3847\u20133857","journal-title":"Neural Comput Appl"},{"key":"8810_CR2","doi-asserted-by":"crossref","first-page":"553","DOI":"10.1016\/j.ijleo.2018.04.054","volume":"168","author":"YR Bai","year":"2018","unstructured":"Bai YR, Baleanu D, Wu GC (2018) A novel shuffling technique based on fractional chaotic maps. Optik 168:553\u2013562","journal-title":"Optik"},{"key":"8810_CR3","unstructured":"Bansal A, Bhadauria SS, Gupta R (2009) Digital image security in network transmission with high level of Fidelity, in: IEEE international advance computing conference, IEEE, Patiala, INDIA, pp. 928"},{"key":"8810_CR4","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.sigpro.2016.03.021","volume":"128","author":"A Belazi","year":"2016","unstructured":"Belazi A, ElLatif A, Belghith S (2016) A novel image encryption scheme based on substitution-permutation network and chaos. Signal Process 128:155\u2013170","journal-title":"Signal Process"},{"issue":"23","key":"8810_CR5","doi-asserted-by":"crossref","first-page":"30841","DOI":"10.1007\/s11042-018-5997-2","volume":"77","author":"H Bouslehi","year":"2018","unstructured":"Bouslehi H, Seddik H (2018) Innovative image encryption scheme based on a new rapid hyperchaotic system and random iterative permutation. Multimed Tools Appl 77(23):30841\u201330863","journal-title":"Multimed Tools Appl"},{"issue":"1","key":"8810_CR6","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1109\/MCG.1999.736464","volume":"19","author":"C Busch","year":"2002","unstructured":"Busch C, Nahrstedt K, Pitas I (2002) Image security. IEEE Comput Graph Appl 19(1):16\u201317","journal-title":"IEEE Comput Graph Appl"},{"issue":"8","key":"8810_CR7","doi-asserted-by":"crossref","first-page":"1821","DOI":"10.1016\/j.sjbs.2017.11.023","volume":"24","author":"X Chen","year":"2017","unstructured":"Chen X, Hu CJ (2017) Adaptive medical image encryption algorithm based on multiple chaotic mapping. Saudi J Biol Sci 24(8):1821\u20131827","journal-title":"Saudi J Biol Sci"},{"issue":"3","key":"8810_CR8","doi-asserted-by":"crossref","first-page":"749","DOI":"10.1016\/j.chaos.2003.12.022","volume":"21","author":"GR Chen","year":"2004","unstructured":"Chen GR, Mao YB, Chui CK (2004) A symmetric image encryption scheme based on 3D chaotic cat maps. Chaos, Solitons Fractals 21(3):749\u2013761","journal-title":"Chaos, Solitons Fractals"},{"issue":"6","key":"8810_CR9","doi-asserted-by":"crossref","first-page":"1259","DOI":"10.1142\/S021812749800098X","volume":"8","author":"J Fridrich","year":"1998","unstructured":"Fridrich J (1998) Symmetric ciphers based on two-dimensional chaotic maps. Int J Bifurcat Chaos 8(6):1259\u20131284","journal-title":"Int J Bifurcat Chaos"},{"key":"8810_CR10","unstructured":"George RT, Gopakumar K (2014) Spatiotemporal chaos in globally coupled NCA map lattices using 3-D Arnold cat map for digital image encryption, in: first international conference on computational systems and communications, ICCSC, IEEE, Trivandrum, INDIA, pp. 203\u2013208"},{"key":"8810_CR11","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.ins.2016.01.017","volume":"339","author":"ZY Hua","year":"2016","unstructured":"Hua ZY, Zhou YC (2016) Image encryption using 2D logistic-adjusted-sine map. Inf Sci 339:237\u2013253","journal-title":"Inf Sci"},{"issue":"1","key":"8810_CR12","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0167-2789(89)90227-3","volume":"34","author":"K Kaneko","year":"1989","unstructured":"Kaneko K (1989) Pattern dynamics in spatiotemporal chaos: pattern selection, diffusion of defect and pattern competition intermettency. Physica D 34(1):1\u201341","journal-title":"Physica D"},{"issue":"2","key":"8810_CR13","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/j.camwa.2010.01.011","volume":"60","author":"J Kim","year":"2010","unstructured":"Kim J, Lee Y, Lee S (2010) DES with any reduced masked rounds is not secure against side-channel attacks. Comput Math Appl 60(2):347\u2013354","journal-title":"Comput Math Appl"},{"key":"8810_CR14","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/s11042-014-2221-x","volume":"75","author":"A Kulsoom","year":"2016","unstructured":"Kulsoom A, Xiao D, Rehman AU, Abbas SA (2016) An efficient and noise resistive selective image encryption scheme for gray images based on chaotic maps and DNA complementary rules. Multimed Tools Appl 75:1\u201323","journal-title":"Multimed Tools Appl"},{"issue":"8","key":"8810_CR15","doi-asserted-by":"crossref","first-page":"4363","DOI":"10.1007\/s11042-015-2479-7","volume":"75","author":"Y Liu","year":"2016","unstructured":"Liu Y, Wang J, Fan JH, Gong LH (2016) Image encryption algorithm based on chaotic system and dynamic S-boxes composed of DNA sequences. Multimed Tools Appl 75(8):4363\u20134382","journal-title":"Multimed Tools Appl"},{"key":"8810_CR16","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1016\/j.optlaseng.2016.03.019","volume":"84","author":"WH Liu","year":"2016","unstructured":"Liu WH, Sun KH, Zhu CX (2016) A fast image encryption algorithm based on chaotic map. Opt Lasers Eng 84:26\u201336","journal-title":"Opt Lasers Eng"},{"key":"8810_CR17","doi-asserted-by":"crossref","unstructured":"Masters BR, Gonzalez RC, Woods R (2009) Digital Image Processing, Third Edition, J Biomed Opt 14","DOI":"10.1117\/1.3115362"},{"issue":"5560","key":"8810_CR18","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1038\/261459a0","volume":"261","author":"BR May","year":"1976","unstructured":"May BR (1976) Simple mathematical models with very complicated dynamics. Nature 261(5560):459\u2013467","journal-title":"Nature"},{"issue":"7","key":"8810_CR19","doi-asserted-by":"crossref","first-page":"34","DOI":"10.1145\/278476.278485","volume":"41","author":"N Memon","year":"1998","unstructured":"Memon N, Wong PW (1998) Protecting digital media content. Commun ACM 41(7):34\u201343","journal-title":"Commun ACM"},{"key":"8810_CR20","doi-asserted-by":"crossref","unstructured":"Patil P, Narayankar P, Narayan DG, Meena SM 2016) A comprehensive evaluation of cryptographic algorithms: DES, 3DES, AES, RSA and blowfish, in: 1st international conference on information security and privacy, G H Raisoni Coll Engn, Dept Comp Sci & Engn & Informat Technol, Nagpur, INDIA, pp. 617\u2013624.","DOI":"10.1016\/j.procs.2016.02.108"},{"key":"8810_CR21","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/j.chaos.2018.07.001","volume":"114","author":"SJ Prakash","year":"2018","unstructured":"Prakash SJ, Krishna RB (2018) Five new 4-D autonomous conservative chaotic systems with various type of non-hyperbolic and lines of equilibria. Chaos, Solitons Fractals 114:81\u201391","journal-title":"Chaos, Solitons Fractals"},{"issue":"18","key":"8810_CR22","first-page":"1","volume":"75","author":"AU Rehman","year":"2016","unstructured":"Rehman AU, Liao XF, Kulsoom A, Ullah S (2016) A modified (dual) fusion technique for image encryption using SHA-256 hash and multiple chaotic maps. Multimed Tools Appl 75(18):1\u201326","journal-title":"Multimed Tools Appl"},{"issue":"34","key":"8810_CR23","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1145\/125223.125289","volume":"34","author":"P Samuelson","year":"1991","unstructured":"Samuelson P (1991) Digital media and the law. Commun ACM 34(34):23\u201328","journal-title":"Commun ACM"},{"issue":"18","key":"8810_CR24","doi-asserted-by":"crossref","first-page":"3329","DOI":"10.1016\/j.ijleo.2012.11.002","volume":"124","author":"CY Song","year":"2013","unstructured":"Song CY, Qiao YL, Zhang XZ (2013) An image encryption scheme based on new spatiotemporal chaos. Optik 124(18):3329\u20133334","journal-title":"Optik"},{"key":"8810_CR25","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.optlaseng.2015.06.005","volume":"75","author":"LS Sui","year":"2015","unstructured":"Sui LS, Liu BQ, Wang Q, Li Y, Liang JL (2015) Color image encryption by using Yang-Gu mixture amplitude-phase retrieval algorithm in gyrator transform domain and two-dimensional sine logistic modulation map. Opt Lasers Eng 75:17\u201326","journal-title":"Opt Lasers Eng"},{"issue":"4\u20135","key":"8810_CR26","doi-asserted-by":"crossref","first-page":"388","DOI":"10.1016\/j.physleta.2003.09.042","volume":"318","author":"GN Tang","year":"2003","unstructured":"Tang GN, Wang SH, L\u00fc HP, Hu G (2003) Chaos-based cryptograph incorporated with S-box algebraic operation. Phys Lett A 318(4\u20135):388\u2013398","journal-title":"Phys Lett A"},{"issue":"6","key":"8810_CR27","first-page":"1","volume":"76","author":"ZJ Tang","year":"2016","unstructured":"Tang ZJ, Wang F, Zhang XQ (2016) Image encryption based on random projection partition and chaotic system. Multimed Tools Appl 76(6):1\u201327","journal-title":"Multimed Tools Appl"},{"key":"8810_CR28","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.optlaseng.2015.12.004","volume":"80","author":"ZJ Tang","year":"2016","unstructured":"Tang ZJ, Song J, Zhang XQ, Sun RH (2016) Multiple-image encryption with bit-plane decomposition and chaotic maps. Opt Lasers Eng 80:1\u201311","journal-title":"Opt Lasers Eng"},{"key":"8810_CR29","first-page":"1","volume":"8694678","author":"ZJ Tang","year":"2019","unstructured":"Tang ZJ, Yang Y, Xu SJ, Yu CQ, Zhang XQ (2019) Image encryption with double spiral scans and chaotic maps. Secur Commun Netw 8694678:1\u201315","journal-title":"Secur Commun Netw"},{"issue":"1","key":"8810_CR30","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1007\/s00145-009-9049-y","volume":"23","author":"E Tromer","year":"2010","unstructured":"Tromer E, Osvik DA, Shamir A (2010) Efficient cache attacks on AES, and countermeasures. J Cryptol 23(1):37\u201371","journal-title":"J Cryptol"},{"key":"8810_CR31","doi-asserted-by":"crossref","first-page":"16","DOI":"10.1016\/j.ins.2019.08.041","volume":"507","author":"XY Wang","year":"2020","unstructured":"Wang XY, Gao S (2020) Image encryption algorithm for synchronously updating Boolean networks based on matrix semi-tensor product theory. Inf Sci 507:16\u201336","journal-title":"Inf Sci"},{"issue":"4","key":"8810_CR32","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.1016\/j.sigpro.2011.10.023","volume":"92","author":"XY Wang","year":"2012","unstructured":"Wang XY, Teng L, Qin X (2012) A novel color image encryption algorithm based on chaos. Signal Process 92(4):1101\u20131108","journal-title":"Signal Process"},{"key":"8810_CR33","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1016\/j.optlastec.2019.02.009","volume":"115","author":"XY Wang","year":"2019","unstructured":"Wang XY, Zhao HY, Wang MX (2019) A new image encryption algorithm with nonlinear-diffusion based on multiple coupled map lattices. Opt Laser Technol 115:42\u201357","journal-title":"Opt Laser Technol"},{"key":"8810_CR34","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.ins.2019.02.049","volume":"486","author":"XY Wang","year":"2019","unstructured":"Wang XY, Feng L, Zhao HY (2019) Fast image encryption algorithm based on parallel computing system. Inf Sci 486:340\u2013358","journal-title":"Inf Sci"},{"issue":"3","key":"8810_CR35","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0167-2789(85)90011-9","volume":"16","author":"A Wolf","year":"1985","unstructured":"Wolf A, Swift JB, Swinney HL, Vastano JA (1985) Determining Lyapunov exponents from a time series. Physica D 16(3):285\u2013317","journal-title":"Physica D"},{"key":"8810_CR36","doi-asserted-by":"crossref","first-page":"323","DOI":"10.1016\/j.ins.2012.07.049","volume":"222","author":"Y Wu","year":"2013","unstructured":"Wu Y, Zhou YC, Saveriades G, Agaian S, Noonan JP, Natarajan P (2013) Local Shannon entropy measure with statistical tests for image randomness. Inf Sci 222:323\u2013342","journal-title":"Inf Sci"},{"key":"8810_CR37","doi-asserted-by":"crossref","first-page":"24","DOI":"10.1016\/j.asoc.2015.08.008","volume":"37","author":"XJ Wu","year":"2015","unstructured":"Wu XJ, Kan HB, Kurths J (2015) A new color image encryption scheme based on DNA sequences and multiple improved 1D chaotic maps. Appl Soft Comput 37:24\u201339","journal-title":"Appl Soft Comput"},{"key":"8810_CR38","doi-asserted-by":"crossref","first-page":"109","DOI":"10.1016\/j.sigpro.2017.04.006","volume":"141","author":"JH Wu","year":"2017","unstructured":"Wu JH, Liao XF, Yang B (2017) Color image encryption based on chaotic systems and elliptic curve ElGamal scheme. Signal Process 141:109\u2013124","journal-title":"Signal Process"},{"key":"8810_CR39","doi-asserted-by":"crossref","first-page":"140","DOI":"10.1016\/j.jss.2014.08.066","volume":"98","author":"M Zhang","year":"2014","unstructured":"Zhang M, Tong XJ (2014) A new chaotic map based image encryption schemes for several image formats. J Syst Softw 98:140\u2013154","journal-title":"J Syst Softw"},{"key":"8810_CR40","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1016\/j.ins.2014.02.156","volume":"273","author":"YQ Zhang","year":"2014","unstructured":"Zhang YQ, Wang XY (2014) A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice. Inf Sci 273:329\u2013351","journal-title":"Inf Sci"},{"key":"8810_CR41","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.physa.2014.01.051","volume":"402","author":"YQ Zhang","year":"2014","unstructured":"Zhang YQ, Wang XY (2014) Spatiotemporal chaos in mixed linear-nonlinear coupled logistic map lattice. Physica A 402:104\u2013118","journal-title":"Physica A"},{"key":"8810_CR42","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1016\/j.asoc.2014.09.039","volume":"26","author":"YQ Zhang","year":"2015","unstructured":"Zhang YQ, Wang XY (2015) A new image encryption algorithm based on non-adjacent coupled map lattices. Appl Soft Comput 26:10\u201320","journal-title":"Appl Soft Comput"},{"issue":"6","key":"8810_CR43","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1007\/s11128-017-1612-0","volume":"16","author":"NR Zhou","year":"2017","unstructured":"Zhou NR, Hu YQ, Gong LH, Li GY (2017) Quantum image encryption scheme with iterative generalized Arnold transforms and quantum image cycle shift operation. Quantum Inf Process 16(6):164","journal-title":"Quantum Inf Process"}],"container-title":["Multimedia Tools and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-020-08810-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11042-020-08810-z\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11042-020-08810-z.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,3,15]],"date-time":"2021-03-15T00:14:14Z","timestamp":1615767254000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11042-020-08810-z"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,3,15]]},"references-count":43,"journal-issue":{"issue":"27-28","published-print":{"date-parts":[[2020,7]]}},"alternative-id":["8810"],"URL":"https:\/\/doi.org\/10.1007\/s11042-020-08810-z","relation":{},"ISSN":["1380-7501","1573-7721"],"issn-type":[{"type":"print","value":"1380-7501"},{"type":"electronic","value":"1573-7721"}],"subject":[],"published":{"date-parts":[[2020,3,15]]},"assertion":[{"value":"27 May 2019","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"1 January 2020","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"28 February 2020","order":3,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"15 March 2020","order":4,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}