{"id":"https://openalex.org/W4365999455","doi":"https://doi.org/10.1007/s11276-023-03330-8","title":"Generation of high-order random key matrix for Hill Cipher encryption using the modular multiplicative inverse of triangular matrices","display_name":"Generation of high-order random key matrix for Hill Cipher encryption using the modular multiplicative inverse of triangular matrices","publication_year":2023,"publication_date":"2023-04-16","ids":{"openalex":"https://openalex.org/W4365999455","doi":"https://doi.org/10.1007/s11276-023-03330-8"},"language":"en","primary_location":{"id":"doi:10.1007/s11276-023-03330-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11276-023-03330-8","pdf_url":null,"source":{"id":"https://openalex.org/S205498627","display_name":"Wireless Networks","issn_l":"1022-0038","issn":["1022-0038","1572-8196"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Networks","raw_type":"journal-article"},"type":"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/A5051301839","display_name":"Yuehong Chen","orcid":"https://orcid.org/0000-0001-9764-9911"},"institutions":[{"id":"https://openalex.org/I4210122543","display_name":"Guangdong Polytechnic Normal University","ror":"https://ror.org/02pcb5m77","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210122543"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuehong Chen","raw_affiliation_strings":["School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Systems Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China","institution_ids":["https://openalex.org/I4210122543"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102868714","display_name":"Rong Xie","orcid":"https://orcid.org/0000-0001-9761-0670"},"institutions":[{"id":"https://openalex.org/I186272606","display_name":"Guangdong University of Foreign Studies","ror":"https://ror.org/00fhc9y79","country_code":"CN","type":"education","lineage":["https://openalex.org/I186272606"]},{"id":"https://openalex.org/I4210149618","display_name":"Guangdong University of Finance","ror":"https://ror.org/04grzdh47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149618"]},{"id":"https://openalex.org/I201459984","display_name":"Guangdong University Of Finances and Economics","ror":"https://ror.org/0459pv085","country_code":"CN","type":"education","lineage":["https://openalex.org/I201459984"]},{"id":"https://openalex.org/I4403928342","display_name":"South China Business College Guangdong University of Foreign Studies","ror":"https://ror.org/03adm0793","country_code":null,"type":"education","lineage":["https://openalex.org/I186272606","https://openalex.org/I4403928342"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Rong Xie","raw_affiliation_strings":["Guangdong University of Foreign Studies South China Business College, Guangzhou, 510545, China","School of Mathematics and Systems Science, Guangdong University of Finance and Economics, Guangzhou, 510320, China"],"affiliations":[{"raw_affiliation_string":"Guangdong University of Foreign Studies South China Business College, Guangzhou, 510545, China","institution_ids":["https://openalex.org/I186272606","https://openalex.org/I4403928342"]},{"raw_affiliation_string":"School of Mathematics and Systems Science, Guangdong University of Finance and Economics, Guangzhou, 510320, China","institution_ids":["https://openalex.org/I201459984","https://openalex.org/I4210149618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102771266","display_name":"Haotong Zhang","orcid":"https://orcid.org/0000-0002-8855-1223"},"institutions":[{"id":"https://openalex.org/I201459984","display_name":"Guangdong University Of Finances and Economics","ror":"https://ror.org/0459pv085","country_code":"CN","type":"education","lineage":["https://openalex.org/I201459984"]},{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]},{"id":"https://openalex.org/I4210149618","display_name":"Guangdong University of Finance","ror":"https://ror.org/04grzdh47","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210149618"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haotong Zhang","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China","School of Mathematics and Systems Science, Guangdong University of Finance and Economics, Guangzhou, 510320, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I90610280"]},{"raw_affiliation_string":"School of Mathematics and Systems Science, Guangdong University of Finance and Economics, Guangzhou, 510320, China","institution_ids":["https://openalex.org/I201459984","https://openalex.org/I4210149618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100358068","display_name":"Dongdong Li","orcid":"https://orcid.org/0000-0001-5477-8481"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Dongdong Li","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I90610280"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007440245","display_name":"Weiwei Lin","orcid":"https://orcid.org/0000-0001-6876-1795"},"institutions":[{"id":"https://openalex.org/I90610280","display_name":"South China University of Technology","ror":"https://ror.org/0530pts50","country_code":"CN","type":"education","lineage":["https://openalex.org/I90610280"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weiwei Lin","raw_affiliation_strings":["School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, South China University of Technology, Guangzhou, 510006, China","institution_ids":["https://openalex.org/I90610280"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5102868714"],"corresponding_institution_ids":["https://openalex.org/I186272606","https://openalex.org/I201459984","https://openalex.org/I4210149618","https://openalex.org/I4403928342"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.7329,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.71695278,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"30","issue":"6","first_page":"5697","last_page":"5707"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9994999766349792,"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":0.9994999766349792,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9983999729156494,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7666270732879639},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5948898196220398},{"id":"https://openalex.org/keywords/cipher","display_name":"Cipher","score":0.5735174417495728},{"id":"https://openalex.org/keywords/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.563811182975769},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5627435445785522},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5178906917572021},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4985232353210449},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.48701268434524536},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.41459885239601135},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3910607099533081},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3570953607559204},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24008718132972717},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.11843061447143555},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.07221618294715881}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7666270732879639},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5948898196220398},{"id":"https://openalex.org/C2780221543","wikidata":"https://www.wikidata.org/wiki/Q4681865","display_name":"Cipher","level":3,"score":0.5735174417495728},{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.563811182975769},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5627435445785522},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5178906917572021},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4985232353210449},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.48701268434524536},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.41459885239601135},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3910607099533081},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3570953607559204},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24008718132972717},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.11843061447143555},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.07221618294715881},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11276-023-03330-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11276-023-03330-8","pdf_url":null,"source":{"id":"https://openalex.org/S205498627","display_name":"Wireless Networks","issn_l":"1022-0038","issn":["1022-0038","1572-8196"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Wireless Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W108218230","https://openalex.org/W1935499424","https://openalex.org/W1948596969","https://openalex.org/W2005245166","https://openalex.org/W2005548995","https://openalex.org/W2033560169","https://openalex.org/W2036378739","https://openalex.org/W2108346562","https://openalex.org/W2111960070","https://openalex.org/W2130896398","https://openalex.org/W2141476077","https://openalex.org/W2144318506","https://openalex.org/W2163750694","https://openalex.org/W2197154064","https://openalex.org/W2313840394","https://openalex.org/W2331322161","https://openalex.org/W2416133642","https://openalex.org/W2596401955","https://openalex.org/W2611172849","https://openalex.org/W2730914431","https://openalex.org/W2765921039","https://openalex.org/W2782861098","https://openalex.org/W2783590514","https://openalex.org/W2784298919","https://openalex.org/W2883701651","https://openalex.org/W2904709992","https://openalex.org/W2914247668","https://openalex.org/W2940063087","https://openalex.org/W2944932200","https://openalex.org/W2954094283","https://openalex.org/W2976986800","https://openalex.org/W2998363399","https://openalex.org/W3004817846","https://openalex.org/W3008851736","https://openalex.org/W3046266534","https://openalex.org/W3048853384","https://openalex.org/W3088041972","https://openalex.org/W3112860443","https://openalex.org/W3116695887","https://openalex.org/W3118105287","https://openalex.org/W3126845826","https://openalex.org/W3128795060","https://openalex.org/W3182896234","https://openalex.org/W3212177898","https://openalex.org/W4200093921","https://openalex.org/W4200151489","https://openalex.org/W4200538585","https://openalex.org/W4220702679","https://openalex.org/W4224251074","https://openalex.org/W4234832129","https://openalex.org/W4244508735","https://openalex.org/W4283718611","https://openalex.org/W4285222884","https://openalex.org/W4289533831","https://openalex.org/W6696088125"],"related_works":["https://openalex.org/W4312742439","https://openalex.org/W4313513739","https://openalex.org/W4233505935","https://openalex.org/W4313642433","https://openalex.org/W4313513695","https://openalex.org/W3175552624","https://openalex.org/W4295815789","https://openalex.org/W3104006239","https://openalex.org/W2975999359","https://openalex.org/W2125688582"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":2}],"updated_date":"2026-01-20T17:24:06.736184","created_date":"2025-10-10T00:00:00"}