{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,3]],"date-time":"2026-03-03T15:58:20Z","timestamp":1772553500759,"version":"3.50.1"},"reference-count":33,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T00:00:00Z","timestamp":1696896000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T00:00:00Z","timestamp":1696896000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Soft Comput"],"published-print":{"date-parts":[[2024,3]]},"DOI":"10.1007\/s00500-023-09267-6","type":"journal-article","created":{"date-parts":[[2023,10,10]],"date-time":"2023-10-10T12:02:02Z","timestamp":1696939322000},"page":"5213-5223","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Construction of optimum multivalued cryptographic Boolean function using artificial bee colony optimization and multi-criterion decision-making"],"prefix":"10.1007","volume":"28","author":[{"given":"Nabilah","family":"Abughazalah","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lal","family":"Said","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Majid","family":"Khan","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2023,10,10]]},"reference":[{"key":"9267_CR1","doi-asserted-by":"publisher","first-page":"32585","DOI":"10.1007\/s11042-019-07866-w","volume":"78","author":"KM Ali","year":"2019","unstructured":"Ali KM, Khan M (2019) A new construction of confusion component of block ciphers. Multimed Tools Appl 78:32585\u201332604","journal-title":"Multimed Tools Appl"},{"key":"9267_CR2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-9314-6","volume-title":"Differential cryptanalysis of the data encryption standard","author":"E Biham","year":"1993","unstructured":"Biham E, Shamir A (1993) Differential cryptanalysis of the data encryption standard. Springer, New York"},{"key":"9267_CR3","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1016\/j.ffa.2005.07.003","volume":"13","author":"C Carlet","year":"2007","unstructured":"Carlet C, Ding C (2007) Nonlinearities of S-boxes. Finite Fields Appl 13:121\u2013135","journal-title":"Finite Fields Appl"},{"issue":"2","key":"9267_CR4","doi-asserted-by":"publisher","first-page":"1081","DOI":"10.1007\/s11071-016-3099-0","volume":"87","author":"\u00dc \u00c7avu\u015fo\u011flu","year":"2016","unstructured":"\u00c7avu\u015fo\u011flu \u00dc, Zengin A, Pehlivan I, Ka\u00e7ar S (2016) A novel approach for strong S-box generation algorithm design based on chaotic scaled Zhongtang system. Nonlinear Dyn 87(2):1081\u20131094","journal-title":"Nonlinear Dyn"},{"issue":"3","key":"9267_CR5","doi-asserted-by":"publisher","first-page":"2363","DOI":"10.1364\/OE.20.002363","volume":"20","author":"J-J Chen","year":"2012","unstructured":"Chen J-J, Zou H, Meng W-H, Zhan Y-F, Yu Y-W, Fu C (2012) A chaos-based digital image encryption scheme with an improved diffusion strategy. Opt Express 20(3):2363\u20132378","journal-title":"Opt Express"},{"key":"9267_CR6","first-page":"1","volume":"2014","author":"J Chen","year":"2014","unstructured":"Chen J, Zhu Z, Zhang L, Fu C, Yu H (2014) An efficient diffusion scheme for chaos-based digital image encryption. Hindawi Math Problems Eng 2014:1","journal-title":"Hindawi Math Problems Eng"},{"key":"9267_CR7","doi-asserted-by":"publisher","first-page":"14001","DOI":"10.1007\/s11042-022-12480-4","volume":"81","author":"A Elmoasry","year":"2022","unstructured":"Elmoasry A, Said L, Khan M, Hussain I (2022) A dual layer security scheme for medical images using Hessenberg and singular value decompositions. Multimed Tools Appl 81:14001\u201314022","journal-title":"Multimed Tools Appl"},{"key":"9267_CR8","doi-asserted-by":"publisher","first-page":"160158","DOI":"10.1109\/ACCESS.2020.3021055","volume":"8","author":"O Engel","year":"2020","unstructured":"Engel O, Aydn MA, Sertba A (2020) An efficient generation and security analysis of substitution box using fingerprint patterns. IEEE Access 8:160158\u2013160176","journal-title":"IEEE Access"},{"key":"9267_CR9","doi-asserted-by":"publisher","first-page":"28225","DOI":"10.1007\/s11042-020-09324-4","volume":"79","author":"S Farwa","year":"2020","unstructured":"Farwa S, Bibi N, Muhammad N (2020) An efficient image encryption scheme using Fresnelet transform and elliptic curve based scrambling. Multimed Tools Appl 79:28225\u201328238","journal-title":"Multimed Tools Appl"},{"key":"9267_CR10","first-page":"118","volume":"2019","author":"L Hu","year":"2019","unstructured":"Hu L, Ling S, Xianrui Q (2019) Boomerang connectivity table revisited. Application to SKINNY and AES. Trans Symmet Cryptol 2019:118\u2013141","journal-title":"Trans Symmet Cryptol"},{"key":"9267_CR11","first-page":"1","volume":"2017","author":"SS Jamal","year":"2017","unstructured":"Jamal SS, Shah T, Attaullah A (2017) A group action method for construction of strong substitution box. 3D Res 2017:1","journal-title":"3D Res"},{"key":"9267_CR12","unstructured":"Karaboga D (2005) An idea based on honey bee swarm for numerical optimization. Technical report-TR06"},{"key":"9267_CR13","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1016\/j.asoc.2007.05.007","volume":"8","author":"D Karaboga","year":"2008","unstructured":"Karaboga D, Basturk B (2008) On the performance of artificial bee colony (ABC) algorithm. Appl Soft Comput 8:687\u2013697. https:\/\/doi.org\/10.1016\/j.asoc.2007.05.007","journal-title":"Appl Soft Comput"},{"key":"9267_CR14","doi-asserted-by":"publisher","first-page":"15","DOI":"10.1007\/s11831-018-9298-8","volume":"43","author":"M Kaur","year":"2020","unstructured":"Kaur M, Kumar V (2020) A comprehensive review on image encryption techniques. Arch Comput Methods Eng 43:15\u201327","journal-title":"Arch Comput Methods Eng"},{"issue":"3","key":"9267_CR15","first-page":"323","volume":"9","author":"PN Khade","year":"2012","unstructured":"Khade PN, Narnaware M (2012) 3D chaotic functions for image encryption. IJCSI Int J Comput Sci 9(3):323\u2013328","journal-title":"IJCSI Int J Comput Sci"},{"key":"9267_CR16","doi-asserted-by":"publisher","first-page":"377","DOI":"10.1007\/s11071-013-1132-0","volume":"76","author":"M Khan","year":"2014","unstructured":"Khan M, Shah T (2014) A construction of novel chaos base nonlinear component of block cipher. Nonlinear Dyn 76:377\u2013382","journal-title":"Nonlinear Dyn"},{"key":"9267_CR17","first-page":"1","volume":"2021","author":"M Khan","year":"2021","unstructured":"Khan M, Alanazi AS, Said L, Hussain I (2021a) An efficient image encryption scheme based on fractal Tromino and Chebyshev polynomial. Complex Intell Syst 2021:1","journal-title":"Complex Intell Syst"},{"key":"9267_CR18","doi-asserted-by":"publisher","first-page":"2751","DOI":"10.1007\/s40747-021-00460-4","volume":"7","author":"M Khan","year":"2021","unstructured":"Khan M, Alanazi AS, Said L, Hussain I (2021b) An efficient image encryption scheme based on fractal Tromino and Chebyshev polynomial. Complex Intell Syst 7:2751\u20132764","journal-title":"Complex Intell Syst"},{"key":"9267_CR19","doi-asserted-by":"publisher","first-page":"16353","DOI":"10.1007\/s11042-022-12441-x","volume":"81","author":"M Khan","year":"2022","unstructured":"Khan M, Khan L, Hazzazi MM, Jamal SS, Hussain I (2022) Image encryption scheme for multi-focus images for visual sensors network. Multimed Tools Appl 81:16353\u201316370","journal-title":"Multimed Tools Appl"},{"key":"9267_CR20","doi-asserted-by":"publisher","first-page":"2407","DOI":"10.1007\/s11071-016-3199-x","volume":"87","author":"D Lambi\u0107","year":"2017","unstructured":"Lambi\u0107 D (2017) A novel method of S-box design based on discrete chaotic map. Nonlinear Dyn 87:2407\u20132413","journal-title":"Nonlinear Dyn"},{"key":"9267_CR21","first-page":"2018","volume":"181\u2013191","author":"D Lambi\u0107","year":"2018","unstructured":"Lambi\u0107 D (2018) S-box design method based on improved one-dimensional discrete chaotic map. J Inf Telecommun 181\u2013191:2018","journal-title":"J Inf Telecommun"},{"key":"9267_CR22","doi-asserted-by":"publisher","first-page":"1867","DOI":"10.1007\/s11071-015-2283-y","volume":"82","author":"G Liu","year":"2015","unstructured":"Liu G, Yang W, Liu W, Dai Y (2015) Designing S-boxes based on 3-D four-wing autonomous chaotic system. Nonlinear Dyn 82:1867\u20131877","journal-title":"Nonlinear Dyn"},{"key":"9267_CR23","first-page":"7836778378","volume":"7","author":"Z Liu","year":"2019","unstructured":"Liu Z, Wu C, Wang J, Hu Y (2019) A color image encryption using dynamic DNA and 4-D memristive hyper-chaos. IEEE Access 7:7836778378","journal-title":"IEEE Access"},{"key":"9267_CR24","volume-title":"A novel ant colony optimization based scheme for substitution","author":"DBH Musheer Ahmad","year":"2015","unstructured":"Musheer Ahmad DBH (2015) A novel ant colony optimization based scheme for substitution. Elsevier, London"},{"key":"9267_CR25","doi-asserted-by":"publisher","first-page":"3733","DOI":"10.1016\/j.physleta.2010.07.019","volume":"374","author":"F \u00d6zkaynak","year":"2010","unstructured":"\u00d6zkaynak F, \u00d6zer AB (2010) A method for designing strong S-boxes based on chaotic Lorenz system. Phys Lett 374:3733\u20133738","journal-title":"Phys Lett"},{"key":"9267_CR26","doi-asserted-by":"publisher","first-page":"3733","DOI":"10.1016\/j.physleta.2010.07.019","volume":"374","author":"F Ozkaynak","year":"2010","unstructured":"Ozkaynak F, Ozer AB (2010) A method for designing strong S-boxes based on chaotic Lorenz system. Phys Lett 374:3733\u20133738","journal-title":"Phys Lett"},{"key":"9267_CR27","doi-asserted-by":"publisher","first-page":"558","DOI":"10.1016\/j.cjph.2021.03.029","volume":"72","author":"L Said","year":"2021","unstructured":"Said L, Hazzazi MM, Khan M, Jamal SS (2021) A novel image encryption based on Rossler map diffusion and particle swarm optimization generated highly non-linear substitution boxes. Chin J Phys 72:558\u2013574","journal-title":"Chin J Phys"},{"key":"9267_CR28","doi-asserted-by":"publisher","first-page":"656","DOI":"10.1002\/j.1538-7305.1949.tb00928.x","volume":"28","author":"C Shannon","year":"1949","unstructured":"Shannon C (1949) Communication theory of secrecy systems. Bell Syst Tech J 28:656\u2013715","journal-title":"Bell Syst Tech J"},{"key":"9267_CR29","doi-asserted-by":"publisher","first-page":"197630","DOI":"10.1109\/ACCESS.2020.3034832","volume":"8","author":"N Siddiqui","year":"2020","unstructured":"Siddiqui N, Khalid H, Murtaza F, Ehatisham-Ul-Haq M, Azam MA (2020) A novel algebraic technique for design of computational substitution-boxes using action of matrices on galois field. IEEE Access 8:197630\u2013197643","journal-title":"IEEE Access"},{"key":"9267_CR30","doi-asserted-by":"publisher","first-page":"117829","DOI":"10.1109\/ACCESS.2019.2936447","volume":"7","author":"E Tanyildizi","year":"2019","unstructured":"Tanyildizi E, \u00d6zkaynak F (2019) A new chaotic S-box generation method using parameter optimization of one dimensional chaotic maps. IEEE Access 7:117829\u2013117838","journal-title":"IEEE Access"},{"key":"9267_CR32","doi-asserted-by":"publisher","first-page":"827","DOI":"10.1016\/j.physleta.2012.01.009","volume":"376","author":"Y Wang","year":"2012","unstructured":"Wang Y, Wong K-W, Li C, Li Y (2012) A novel method to design S-box based on chaotic map and genetic algorithm. Phys Lett A 376:827\u2013833","journal-title":"Phys Lett A"},{"key":"9267_CR33","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-39799-X_41","volume-title":"On the design of S-boxes","author":"AF Webster","year":"1986","unstructured":"Webster AF, Tavares SE (1986) On the design of S-boxes. Springer, London"},{"key":"9267_CR34","first-page":"14","volume-title":"A novel approach for strong S-box generation algorithm","author":"A Zengin","year":"2016","unstructured":"Zengin A, Pehlivan I, \u00c7avu\u015fo\u011flu U (2016a) A novel approach for strong S-box generation algorithm. Springer, Dordrecht, p 14"}],"container-title":["Soft Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-09267-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00500-023-09267-6\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00500-023-09267-6.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,2,29]],"date-time":"2024-02-29T14:15:06Z","timestamp":1709216106000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00500-023-09267-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,10,10]]},"references-count":33,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2024,3]]}},"alternative-id":["9267"],"URL":"https:\/\/doi.org\/10.1007\/s00500-023-09267-6","relation":{},"ISSN":["1432-7643","1433-7479"],"issn-type":[{"value":"1432-7643","type":"print"},{"value":"1433-7479","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,10,10]]},"assertion":[{"value":"12 September 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"10 October 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no conflict of interest.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}},{"value":"This article does not contain any studies with human participants or animals performed by any of the authors.","order":3,"name":"Ethics","group":{"name":"EthicsHeading","label":"Ethical approval"}},{"value":"Informed consent was obtained from all individual participants included in the study.","order":4,"name":"Ethics","group":{"name":"EthicsHeading","label":"Informed consent"}}]}}