{"id":"https://openalex.org/W4298007072","doi":"https://doi.org/10.1142/s0218127422501632","title":"Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion","display_name":"Constructing Strong S-Box by 2D Chaotic Map with Application to Irreversible Parallel Key Expansion","publication_year":2022,"publication_date":"2022-09-15","ids":{"openalex":"https://openalex.org/W4298007072","doi":"https://doi.org/10.1142/s0218127422501632"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501632","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101976122","display_name":"Hongjun Liu","orcid":"https://orcid.org/0000-0003-1837-1435"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Hongjun Liu","raw_affiliation_strings":["Mathematical Sciences School, University of Jinan, Jinan 250022, P. R. China"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences School, University of Jinan, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100680476","display_name":"Xingyuan Wang","orcid":"https://orcid.org/0000-0002-3844-3195"},"institutions":[{"id":"https://openalex.org/I43313876","display_name":"Dalian Maritime University","ror":"https://ror.org/002b7nr53","country_code":"CN","type":"education","lineage":["https://openalex.org/I43313876"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingyuan Wang","raw_affiliation_strings":["Information Science and Technology School, Dalian Maritime University, Dalian 116026, P. R. China"],"affiliations":[{"raw_affiliation_string":"Information Science and Technology School, Dalian Maritime University, Dalian 116026, P. R. China","institution_ids":["https://openalex.org/I43313876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5057133619","display_name":"Mengdi Zhao","orcid":"https://orcid.org/0000-0001-5666-1535"},"institutions":[{"id":"https://openalex.org/I34949971","display_name":"University of Jinan","ror":"https://ror.org/02mjz6f26","country_code":"CN","type":"education","lineage":["https://openalex.org/I34949971"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Mengdi Zhao","raw_affiliation_strings":["Mathematical Sciences School, University of Jinan, Jinan 250022, P. R. China"],"affiliations":[{"raw_affiliation_string":"Mathematical Sciences School, University of Jinan, Jinan 250022, P. R. China","institution_ids":["https://openalex.org/I34949971"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103042099","display_name":"Yujun Niu","orcid":"https://orcid.org/0000-0001-5279-3549"},"institutions":[{"id":"https://openalex.org/I4210092944","display_name":"Dalian University","ror":"https://ror.org/00g2ypp58","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210092944"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yujun Niu","raw_affiliation_strings":["Software Engineering School, Dalian University, Dalian 116622, P. R. China"],"affiliations":[{"raw_affiliation_string":"Software Engineering School, Dalian University, Dalian 116622, P. R. China","institution_ids":["https://openalex.org/I4210092944"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101976122"],"corresponding_institution_ids":["https://openalex.org/I34949971"],"apc_list":null,"apc_paid":null,"fwci":2.676,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.999942,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"32","issue":"11","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9949,"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/T10244","display_name":"Chaos control and synchronization","score":0.9929,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/key-space","display_name":"Key space","score":0.49034166},{"id":"https://openalex.org/keywords/key-size","display_name":"Key size","score":0.48518926}],"concepts":[{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.8081145},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.6833679},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.621466},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5255457},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5200024},{"id":"https://openalex.org/C168773036","wikidata":"https://www.wikidata.org/wiki/Q264164","display_name":"Recursion (computer science)","level":2,"score":0.51923305},{"id":"https://openalex.org/C105322999","wikidata":"https://www.wikidata.org/wiki/Q1557574","display_name":"Key space","level":3,"score":0.49034166},{"id":"https://openalex.org/C47750902","wikidata":"https://www.wikidata.org/wiki/Q1557574","display_name":"Key size","level":4,"score":0.48518926},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.41666892},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39776275},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.34240425},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.29937017},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.274966},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.21733233},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13008091},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07676607},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127422501632","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[{"funder":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China","award_id":"61662073"}],"datasets":[],"versions":[],"referenced_works_count":28,"referenced_works":["https://openalex.org/W1862394037","https://openalex.org/W1963898916","https://openalex.org/W1969908124","https://openalex.org/W1990288760","https://openalex.org/W2060933902","https://openalex.org/W2089963432","https://openalex.org/W2283511499","https://openalex.org/W2497309888","https://openalex.org/W2530210423","https://openalex.org/W2558390409","https://openalex.org/W2792709525","https://openalex.org/W2904798530","https://openalex.org/W2944962845","https://openalex.org/W2969505548","https://openalex.org/W2980057341","https://openalex.org/W3003590183","https://openalex.org/W3003721113","https://openalex.org/W3012385585","https://openalex.org/W3036166288","https://openalex.org/W3091991102","https://openalex.org/W3094536524","https://openalex.org/W3096546390","https://openalex.org/W3115910882","https://openalex.org/W3122415221","https://openalex.org/W3137586122","https://openalex.org/W3154019914","https://openalex.org/W3165742426","https://openalex.org/W4281788504"],"related_works":["https://openalex.org/W4206315981","https://openalex.org/W4200497491","https://openalex.org/W2997943103","https://openalex.org/W2613308912","https://openalex.org/W2462661726","https://openalex.org/W2360233907","https://openalex.org/W2283563710","https://openalex.org/W2104452493","https://openalex.org/W2102023965","https://openalex.org/W1972971222"],"abstract_inverted_index":{"Cryptanalysis":[0],"of":[1,68,103,117],"key":[2,22,30,91,99,122],"expansion":[3,23,92,123],"algorithms":[4],"in":[5,15],"AES":[6],"and":[7,18,70,84,109,115],"SM4":[8],"revealed":[9],"that":[10],"(1)":[11],"there":[12],"exists":[13],"weaknesses":[14],"their":[16],"S-Boxes,":[17,69],"(2)":[19],"the":[20,28,43,66,97,113,118],"round":[21,36,106],"algorithm":[24,76],"is":[25],"reversible,":[26],"i.e.":[27],"initial":[29,98],"can":[31],"be":[32,40],"recovered":[33],"from":[34],"any":[35,101],"key,":[37],"which":[38,94],"may":[39],"explored":[41],"by":[42],"attacker.":[44],"To":[45],"solve":[46],"these":[47],"problems,":[48],"first":[49],"we":[50,86],"constructed":[51],"a":[52,61,72],"nondegenerate":[53],"2D":[54],"exponential":[55],"hyper":[56],"chaotic":[57],"map":[58],"(2D-EQCM),":[59],"derived":[60],"recursion":[62],"formula":[63],"to":[64,100],"calculate":[65],"number":[67,102],"designed":[71,87],"strong":[73],"S-Box":[74],"construction":[75],"without":[77],"such":[78],"weakness.":[79],"Then":[80],"based":[81],"on":[82],"2D-EQCM":[83],"S-Box,":[85],"an":[88],"irreversible":[89,120],"parallel":[90,121],"algorithm,":[93],"could":[95],"transform":[96],"relatively":[104],"independent":[105],"keys.":[107],"Security":[108],"statistical":[110],"analysis":[111],"demonstrated":[112],"flexibility":[114],"effectiveness":[116],"proposed":[119],"algorithm.":[124]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W4298007072","counts_by_year":[{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":1}],"updated_date":"2025-01-04T09:44:34.376164","created_date":"2022-10-01"}