{"id":"https://openalex.org/W4403170952","doi":"https://doi.org/10.1007/978-3-031-71804-5_17","title":"Primitive Elements in the Finite Field of Square Matrices of Order 2 for Cryptographic Applications","display_name":"Primitive Elements in the Finite Field of Square Matrices of Order 2 for Cryptographic Applications","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4403170952","doi":"https://doi.org/10.1007/978-3-031-71804-5_17"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-71804-5_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-71804-5_17","pdf_url":null,"source":{"id":"https://openalex.org/S4210216571","display_name":"Lecture notes on data engineering and communications technologies","issn_l":"2367-4512","issn":["2367-4512","2367-4520"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes on Data Engineering and Communications Technologies","raw_type":"book-chapter"},"type":"book-chapter","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/A5080382506","display_name":"Anatoly Shcherba","orcid":"https://orcid.org/0000-0002-3049-3497"},"institutions":[{"id":"https://openalex.org/I4210108895","display_name":"Cherkasy State Technological University","ror":"https://ror.org/01m54ds80","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210108895"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Anatoly Shcherba","raw_affiliation_strings":["Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine"],"affiliations":[{"raw_affiliation_string":"Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine","institution_ids":["https://openalex.org/I4210108895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074813570","display_name":"Emil Faure","orcid":"https://orcid.org/0000-0002-2046-481X"},"institutions":[{"id":"https://openalex.org/I4210108895","display_name":"Cherkasy State Technological University","ror":"https://ror.org/01m54ds80","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210108895"]},{"id":"https://openalex.org/I3133438087","display_name":"Kyiv National University of Technologies and Design","ror":"https://ror.org/050vh8780","country_code":"UA","type":"education","lineage":["https://openalex.org/I3133438087"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Emil Faure","raw_affiliation_strings":["Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine","Department of Information Security and Computer Engineering, Cherkasy State Technological University, Cherkasy, Ukraine","State Scientific and Research Institute of Cybersecurity Technologies and Information Protection, M. Zaliznyaka Street 3, Kyiv, 03142, Ukraine"],"affiliations":[{"raw_affiliation_string":"Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine","institution_ids":["https://openalex.org/I4210108895"]},{"raw_affiliation_string":"Department of Information Security and Computer Engineering, Cherkasy State Technological University, Cherkasy, Ukraine","institution_ids":["https://openalex.org/I4210108895"]},{"raw_affiliation_string":"State Scientific and Research Institute of Cybersecurity Technologies and Information Protection, M. Zaliznyaka Street 3, Kyiv, 03142, Ukraine","institution_ids":["https://openalex.org/I3133438087"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013601094","display_name":"Tero Vartiainen","orcid":"https://orcid.org/0000-0003-3843-8561"},"institutions":[{"id":"https://openalex.org/I79765343","display_name":"University of Vaasa","ror":"https://ror.org/03769b225","country_code":"FI","type":"education","lineage":["https://openalex.org/I79765343"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Tero Vartiainen","raw_affiliation_strings":["Department of Computing Sciences, University of Vaasa, Vaasa, Finland","University of Vaasa, Wolffintie 32, 65200, Vaasa, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computing Sciences, University of Vaasa, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]},{"raw_affiliation_string":"University of Vaasa, Wolffintie 32, 65200, Vaasa, Finland","institution_ids":["https://openalex.org/I79765343"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5099436679","display_name":"Viktor Khaliavka","orcid":"https://orcid.org/0009-0009-0811-7282"},"institutions":[{"id":"https://openalex.org/I1288463179","display_name":"Ministry of Internal Affairs of the Republic of Tajikistan","ror":"https://ror.org/05vewjh97","country_code":"TJ","type":"government","lineage":["https://openalex.org/I1288463179"]},{"id":"https://openalex.org/I3129995574","display_name":"Cherkasy National University","ror":"https://ror.org/009apaj69","country_code":"UA","type":"education","lineage":["https://openalex.org/I3129995574"]},{"id":"https://openalex.org/I4210108895","display_name":"Cherkasy State Technological University","ror":"https://ror.org/01m54ds80","country_code":"UA","type":"education","lineage":["https://openalex.org/I4210108895"]}],"countries":["TJ","UA"],"is_corresponding":false,"raw_author_name":"Viktor Khaliavka","raw_affiliation_strings":["Cherkasy Research Forensic Center of the Ministry of Internal Affairs of Ukraine, Lesia Ukrainka Street 21, Cherkasy, 18023, Ukraine","Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine"],"affiliations":[{"raw_affiliation_string":"Cherkasy Research Forensic Center of the Ministry of Internal Affairs of Ukraine, Lesia Ukrainka Street 21, Cherkasy, 18023, Ukraine","institution_ids":["https://openalex.org/I4210108895","https://openalex.org/I1288463179","https://openalex.org/I3129995574"]},{"raw_affiliation_string":"Cherkasy State Technological University, Shevchenko Blvd. 460, Cherkasy, 18006, Ukraine","institution_ids":["https://openalex.org/I4210108895"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5080382506"],"corresponding_institution_ids":["https://openalex.org/I4210108895"],"apc_list":null,"apc_paid":null,"fwci":0.802,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.74937193,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"250","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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":0.9988999962806702,"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":0.998199999332428,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7507319450378418},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.7114017009735107},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5925381183624268},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5541679263114929},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5407651662826538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4364381432533264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4139147996902466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.24963730573654175},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24142268300056458},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16039326786994934},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10307091474533081},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.041765421628952026}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7507319450378418},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.7114017009735107},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5925381183624268},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5541679263114929},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5407651662826538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4364381432533264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4139147996902466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.24963730573654175},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24142268300056458},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16039326786994934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10307091474533081},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.041765421628952026},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-71804-5_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-71804-5_17","pdf_url":null,"source":{"id":"https://openalex.org/S4210216571","display_name":"Lecture notes on data engineering and communications technologies","issn_l":"2367-4512","issn":["2367-4512","2367-4520"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319972","host_organization_name":"Springer International Publishing","host_organization_lineage":["https://openalex.org/P4310319972","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer International Publishing","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes on Data Engineering and Communications Technologies","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W2014078972","https://openalex.org/W2053674724","https://openalex.org/W2108834246","https://openalex.org/W2156186849","https://openalex.org/W2594615149","https://openalex.org/W2613995098","https://openalex.org/W2907867843","https://openalex.org/W2946582523","https://openalex.org/W2951773754","https://openalex.org/W2968927372","https://openalex.org/W3022840541","https://openalex.org/W3023478445","https://openalex.org/W3043734050","https://openalex.org/W3161394282","https://openalex.org/W4229706427","https://openalex.org/W4232836212","https://openalex.org/W4239280186","https://openalex.org/W4281692921","https://openalex.org/W4286215415","https://openalex.org/W4287010206","https://openalex.org/W4360985276","https://openalex.org/W4361005563","https://openalex.org/W4362676747","https://openalex.org/W4381053359","https://openalex.org/W4390352538"],"related_works":["https://openalex.org/W3102623159","https://openalex.org/W2893614166","https://openalex.org/W2366911843","https://openalex.org/W2003769335","https://openalex.org/W2350577681","https://openalex.org/W2322239237","https://openalex.org/W2360117988","https://openalex.org/W2778252020","https://openalex.org/W2389893520","https://openalex.org/W2050726060"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-12-21T01:58:51.020947","created_date":"2025-10-10T00:00:00"}