{"id":"https://openalex.org/W4205526331","doi":"https://doi.org/10.1109/access.2022.3144458","title":"New Genetic Operators for Developing S-Boxes With Low Boomerang Uniformity","display_name":"New Genetic Operators for Developing S-Boxes With Low Boomerang Uniformity","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4205526331","doi":"https://doi.org/10.1109/access.2022.3144458"},"language":"en","primary_location":{"id":"doi:10.1109/access.2022.3144458","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3144458","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09684899.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09684899.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5015510483","display_name":"Man Ki Kang","orcid":"https://orcid.org/0000-0001-7728-0424"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Man Kang","raw_affiliation_strings":["School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7728-0424","affiliations":[{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108047865","display_name":"Ming\u2010Sheng Wang","orcid":"https://orcid.org/0000-0002-2400-719X"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mingsheng Wang","raw_affiliation_strings":["School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]},{"raw_affiliation_string":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":1.8564,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.86730749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"10","issue":null,"first_page":"10898","last_page":"10906"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.996399998664856,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/s-box","display_name":"S-box","score":0.8196531534194946},{"id":"https://openalex.org/keywords/genetic-algorithm","display_name":"Genetic algorithm","score":0.769263744354248},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.7132057547569275},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5235904455184937},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5217160582542419},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.46684134006500244},{"id":"https://openalex.org/keywords/bijection","display_name":"Bijection","score":0.4518369138240814},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.43292033672332764},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.4294099807739258},{"id":"https://openalex.org/keywords/population","display_name":"Population","score":0.42514532804489136},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39366498589515686},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.29270607233047485},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2084244191646576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.182307630777359},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.16694343090057373},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11114838719367981}],"concepts":[{"id":"https://openalex.org/C45737032","wikidata":"https://www.wikidata.org/wiki/Q748364","display_name":"S-box","level":4,"score":0.8196531534194946},{"id":"https://openalex.org/C8880873","wikidata":"https://www.wikidata.org/wiki/Q187787","display_name":"Genetic algorithm","level":2,"score":0.769263744354248},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.7132057547569275},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5235904455184937},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5217160582542419},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.46684134006500244},{"id":"https://openalex.org/C24424167","wikidata":"https://www.wikidata.org/wiki/Q180907","display_name":"Bijection","level":2,"score":0.4518369138240814},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.43292033672332764},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.4294099807739258},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.42514532804489136},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39366498589515686},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.29270607233047485},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2084244191646576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.182307630777359},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.16694343090057373},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11114838719367981},{"id":"https://openalex.org/C149923435","wikidata":"https://www.wikidata.org/wiki/Q37732","display_name":"Demography","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2022.3144458","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3144458","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09684899.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:0b49fd0895e54fa18096856091501c40","is_oa":true,"landing_page_url":"https://doaj.org/article/0b49fd0895e54fa18096856091501c40","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 10, Pp 10898-10906 (2022)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2022.3144458","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2022.3144458","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/9668973/09684899.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"No poverty","id":"https://metadata.un.org/sdg/1","score":0.6399999856948853}],"awards":[{"id":"https://openalex.org/G6441528267","display_name":"\u5bf9\u79f0\u5bc6\u7801\u7b97\u6cd5\u5173\u952e\u90e8\u4ef6\u7684\u8bbe\u8ba1\u95ee\u9898\u7814\u7a76","funder_award_id":"61772517","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G650542847","display_name":"\u57fa\u4e8eARX\u7ed3\u6784\u7684\u8f7b\u91cf\u5bc6\u7801\u7b97\u6cd5\u7684\u5bc6\u7801\u5206\u6790\u7814\u7a76","funder_award_id":"61772516","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4205526331.pdf","grobid_xml":"https://content.openalex.org/works/W4205526331.grobid-xml"},"referenced_works_count":35,"referenced_works":["https://openalex.org/W52191336","https://openalex.org/W1497256448","https://openalex.org/W1512383952","https://openalex.org/W1515958737","https://openalex.org/W1519215751","https://openalex.org/W1528065150","https://openalex.org/W1540211477","https://openalex.org/W1568817903","https://openalex.org/W1596744447","https://openalex.org/W1866546768","https://openalex.org/W2023892116","https://openalex.org/W2045479946","https://openalex.org/W2096094378","https://openalex.org/W2173356534","https://openalex.org/W2228658617","https://openalex.org/W2490262601","https://openalex.org/W2769858179","https://openalex.org/W2795355075","https://openalex.org/W2895283602","https://openalex.org/W2896699843","https://openalex.org/W2900658357","https://openalex.org/W2913193769","https://openalex.org/W2951940063","https://openalex.org/W3021510930","https://openalex.org/W3035148646","https://openalex.org/W3035982279","https://openalex.org/W3036166288","https://openalex.org/W3049710779","https://openalex.org/W3111282759","https://openalex.org/W3128334180","https://openalex.org/W3152280367","https://openalex.org/W3157858770","https://openalex.org/W3169066024","https://openalex.org/W6630838125","https://openalex.org/W6764247268"],"related_works":["https://openalex.org/W1985115047","https://openalex.org/W2986543571","https://openalex.org/W2919954404","https://openalex.org/W2955579865","https://openalex.org/W2534971686","https://openalex.org/W2387168119","https://openalex.org/W377307689","https://openalex.org/W2321159322","https://openalex.org/W2119152099","https://openalex.org/W2553010547"],"abstract_inverted_index":{"The":[0,39,70,149],"boomerang":[1,10,37,94],"uniformity":[2,89,95],"measures":[3],"the":[4,19,24,29,46,49,54,63,101,104,108,112,118,121,126,134,138,146,154,158,166,170,175],"resistance":[5],"of":[6,18,36,48,103,120],"block":[7],"ciphers":[8],"to":[9,44,66],"attacks":[11],"and":[12,93,180],"has":[13,98],"become":[14],"an":[15],"essential":[16],"criterion":[17],"substitution":[20],"box":[21],"(S-box).":[22],"However,":[23],"S-box":[25,50,122],"es":[26,51],"created":[27,52,106,124],"by":[28,53,107,125,137,145,157,169],"Feistel":[30,55,109,127],"structure":[31,128],"have":[32,162],"a":[33,130],"poor":[34],"property":[35],"uniformity.":[38],"genetic":[40,58,64,72,114,140,160,172,177],"algorithm":[41,65,73,115,141,161],"is":[42],"introduced":[43],"improve":[45,67],"properties":[47,102,119,164],"structure.":[56,110],"New":[57],"operators":[59],"are":[60],"designed":[61],"for":[62],"its":[68],"searchability.":[69],"new":[71,113,139,159,176],"generates":[74],"some":[75],"8":[76,84],"<inline-formula":[77],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[79],"<tex-math":[80],"notation=\"LaTeX\">$\\times":[81],"$":[82],"</tex-math></inline-formula>":[83],"bijective":[85],"S-boxes":[86,105,135,155,167],"with":[87,142],"differential":[88],"6,":[90],"nonlinearity":[91],"108,":[92],"10,":[96],"which":[97],"dramatically":[99],"improved":[100],"Furthermore,":[111],"also":[116],"improves":[117],"population":[123],"as":[129],"whole.":[131],"We":[132],"compare":[133],"generated":[136,144,156,168],"those":[143],"traditional":[147,171],"one.":[148],"comparison":[150],"results":[151],"show":[152],"that":[153],"better":[163],"than":[165],"algorithm,":[173],"demonstrating":[174],"algorithm\u2019s":[178],"effectiveness":[179],"superiority":[181],"in":[182],"developing":[183],"S-boxes.":[184]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":7},{"year":2023,"cited_by_count":6}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}