{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,10]],"date-time":"2026-07-10T15:44:33Z","timestamp":1783698273013,"version":"3.55.0"},"reference-count":67,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","license":[{"start":{"date-parts":[[2023,1,1]],"date-time":"2023-01-01T00:00:00Z","timestamp":1672531200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by-nc-nd\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Access"],"published-print":{"date-parts":[[2023]]},"DOI":"10.1109\/access.2023.3266290","type":"journal-article","created":{"date-parts":[[2023,4,17]],"date-time":"2023-04-17T18:07:06Z","timestamp":1681754826000},"page":"42416-42430","source":"Crossref","is-referenced-by-count":32,"title":["Grey Wolf Optimizer and Discrete Chaotic Map for Substitution Boxes Design and Optimization"],"prefix":"10.1109","volume":"11","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4272-6558","authenticated-orcid":false,"given":"Ali Ibrahim","family":"Lawah","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, Altinbas University, Istanbul, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Abdullahi Abdu","family":"Ibrahim","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, Altinbas University, Istanbul, Turkey"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-0717-7506","authenticated-orcid":false,"given":"Sinan Q.","family":"Salih","sequence":"additional","affiliation":[{"name":"Technical College of Engineering, Al-Bayan University, Baghdad, Iraq"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2179-4383","authenticated-orcid":false,"given":"Hussam S.","family":"Alhadawi","sequence":"additional","affiliation":[{"name":"Department of Computer Techniques Engineering, Dijlah University College, Baghdad, Iraq"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6240-652X","authenticated-orcid":false,"given":"Poh Soon","family":"JosephNg","sequence":"additional","affiliation":[{"name":"Faculty of Data Science and Information Technology, INTI International University, Nilai, Negeri Sembilan, Malaysia"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref13","first-page":"232","article-title":"S-box: Six-dimensional compound hyperchaotic map and artificial bee colony algorithm","volume":"27","author":"tian","year":"2016","journal-title":"Journal of Systems Engineering and Electronics"},{"key":"ref57","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2015.08.001"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1007\/s12095-015-0170-5"},{"key":"ref56","doi-asserted-by":"publisher","DOI":"10.1090\/psapm\/010\/0113289"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1007\/11596219_5"},{"key":"ref59","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2016.2634548"},{"key":"ref14","author":"van oorschot","year":"1996","journal-title":"Handbook of Applied Cryptography"},{"key":"ref58","doi-asserted-by":"publisher","DOI":"10.1080\/01611194.2018.1548390"},{"key":"ref53","doi-asserted-by":"publisher","DOI":"10.1049\/ip-e.1988.0044"},{"key":"ref52","first-page":"523","article-title":"On the design of S-boxes","author":"webster","year":"1985","journal-title":"Proc Conf Theory Appl Cryptograph Techn"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.3233\/JIFS-182778"},{"key":"ref55","first-page":"751","article-title":"A new S-box structure named affine-power-affine","volume":"3","author":"cui","year":"2007","journal-title":"Int J Innov Comput Inf Control"},{"key":"ref10","doi-asserted-by":"publisher","DOI":"10.1023\/A:1019991004496"},{"key":"ref54","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2013.11.001"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1080\/02626667.2020.1734813"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2020.2990439"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-019-05413-8"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1145\/3316615.3316643"},{"key":"ref51","first-page":"612","article-title":"Good S-boxes are easy to find","author":"adams","year":"1989","journal-title":"Proc Conf Theory Appl Cryptol"},{"key":"ref50","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-46416-6_30"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/s11042-020-10048-8"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2018.2871557"},{"key":"ref48","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-020-05304-9"},{"key":"ref47","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2021.3087139"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3295-y"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-018-4271-5"},{"key":"ref44","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-018-3557-3"},{"key":"ref43","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1016\/j.procs.2015.07.394","article-title":"A novel ant colony optimization based scheme for substitution box design","volume":"57","author":"ahmad","year":"2015","journal-title":"Proc Journal of Computer Science"},{"key":"ref49","first-page":"331","article-title":"Chaotic particle swarm optimization based on meeting room approach for designing bijective S-boxes","author":"alhadawi","year":"2021","journal-title":"Proc Int Conf Emerg Technol Intell Syst"},{"key":"ref8","doi-asserted-by":"publisher","DOI":"10.1109\/ICATCCT.2016.7912073"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-38424-3_1"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1007\/s13319-016-0084-9"},{"key":"ref4","first-page":"3","article-title":"Structure in the S-boxes of the DES","author":"brickell","year":"1987","journal-title":"Proc Conf Theory Appl Cryptograph Techn"},{"key":"ref3","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1949.tb00928.x"},{"key":"ref6","first-page":"81","article-title":"A new method for known plaintext attack of FEAL cipher","author":"matsui","year":"1992","journal-title":"Proc Workshop Theory Appl Cryptograph Techn"},{"key":"ref5","first-page":"386","article-title":"Linear cryptanalysis method for DES cipher","author":"matsui","year":"1993","journal-title":"Proc Workshop Theory Appl Cryptograph Techn"},{"key":"ref40","doi-asserted-by":"publisher","DOI":"10.1155\/2017\/6969312"},{"key":"ref35","doi-asserted-by":"crossref","first-page":"1081","DOI":"10.1007\/s11071-016-3099-0","article-title":"A novel approach for strong S-box generation algorithm design based on chaotic scaled Zhongtang system","volume":"87","author":"\u00e7avu?o?lu","year":"2017","journal-title":"Nonlinear Dyn"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-016-2511-5"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1007\/s11042-022-11928-x"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/TCYB.2018.2846186"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-012-0621-x"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2004.04.023"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1016\/j.physleta.2010.07.019"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-016-3199-x"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0053451"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1007\/BF00203967"},{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2006.08.003"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2016.03.004"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1007\/s00366-019-00795-0"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.advengsoft.2013.12.007"},{"key":"ref67","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-96451-5_9"},{"key":"ref26","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-85912-3_31"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-319-10762-2_81"},{"key":"ref20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jisa.2020.102671"},{"key":"ref64","doi-asserted-by":"publisher","DOI":"10.1016\/j.engappai.2017.10.024"},{"key":"ref63","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2017.06.044"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1016\/j.eswa.2021.115305"},{"key":"ref66","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-021-05991-y"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-021-06260-8"},{"key":"ref65","doi-asserted-by":"publisher","DOI":"10.1109\/ACCESS.2019.2921793"},{"key":"ref28","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-60769-5_3"},{"key":"ref27","first-page":"55","article-title":"Differentially uniform mappings for cryptography","author":"nyberg","year":"1993","journal-title":"Proc Workshop Theory Appl Cryptograph Techn"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/81.904880"},{"key":"ref60","doi-asserted-by":"publisher","DOI":"10.1007\/s12530-019-09291-8"},{"key":"ref62","doi-asserted-by":"publisher","DOI":"10.1016\/j.asoc.2022.108429"},{"key":"ref61","doi-asserted-by":"publisher","DOI":"10.1016\/j.conbuildmat.2022.127454"}],"container-title":["IEEE Access"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/6287639\/10005208\/10103220.pdf?arnumber=10103220","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,6,12]],"date-time":"2023-06-12T18:22:30Z","timestamp":1686594150000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/10103220\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023]]},"references-count":67,"URL":"https:\/\/doi.org\/10.1109\/access.2023.3266290","relation":{},"ISSN":["2169-3536"],"issn-type":[{"value":"2169-3536","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023]]}}}