{"id":"https://openalex.org/W4361855749","doi":"https://doi.org/10.1109/access.2023.3262924","title":"On the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Form","display_name":"On the Construction of New Lightweight Involutory MDS Matrices in Generalized Subfield Form","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4361855749","doi":"https://doi.org/10.1109/access.2023.3262924"},"language":"en","primary_location":{"id":"doi:10.1109/access.2023.3262924","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262924","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10086484.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":null,"license_id":null,"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/ielx7/6287639/6514899/10086484.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5042882287","display_name":"Meltem Kurt Pehli\u0307vano\u011flu","orcid":"https://orcid.org/0000-0002-7581-9390"},"institutions":[{"id":"https://openalex.org/I51826884","display_name":"Kocaeli \u00dcniversitesi","ror":"https://ror.org/0411seq30","country_code":"TR","type":"education","lineage":["https://openalex.org/I51826884"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Meltem Kurt Pehlivano\u011flu","raw_affiliation_strings":["Department of Computer Engineering, Faculty of Engineering, Kocaeli University, Kocaeli, Turkey"],"raw_orcid":"https://orcid.org/0000-0002-7581-9390","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Kocaeli University, Kocaeli, Turkey","institution_ids":["https://openalex.org/I51826884"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068127144","display_name":"Fatma B\u00fcy\u00fcksara\u00e7o\u011flu Sakall\u0131","orcid":"https://orcid.org/0000-0002-6100-6655"},"institutions":[{"id":"https://openalex.org/I12387023","display_name":"Trakya University","ror":"https://ror.org/00xa0xn82","country_code":"TR","type":"education","lineage":["https://openalex.org/I12387023"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Fatma B\u00fcy\u00fcksara\u00e7o\u011flu Sakall\u0131","raw_affiliation_strings":["Department of Computer Engineering, Faculty of Engineering, Trakya University, Edirne, Turkey","Department of Computer Engineering, Faculty of Engineering, Trakya University, 22020 Edirne, Turkiye"],"raw_orcid":"https://orcid.org/0000-0002-6100-6655","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Trakya University, Edirne, Turkey","institution_ids":["https://openalex.org/I12387023"]},{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Trakya University, 22020 Edirne, Turkiye","institution_ids":["https://openalex.org/I12387023"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039513308","display_name":"Sedat Akleylek","orcid":"https://orcid.org/0000-0001-7005-6489"},"institutions":[{"id":"https://openalex.org/I227306068","display_name":"Ondokuz May\u0131s University","ror":"https://ror.org/028k5qw24","country_code":"TR","type":"education","lineage":["https://openalex.org/I227306068"]},{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE","TR"],"is_corresponding":false,"raw_author_name":"Sedat Akleylek","raw_affiliation_strings":["Cyber Security and Information Technologies Research and Development Center, Ondokuz Mayis University, Samsun, Turkey","Cyber Security and Information Technologies Research and Development Center and Department of Computer Engineering, Ondokuz Mayis University, 55270 Samsun, Turkiye","University of Tartu, Tartu, Estonia"],"raw_orcid":"https://orcid.org/0000-0001-7005-6489","affiliations":[{"raw_affiliation_string":"Cyber Security and Information Technologies Research and Development Center, Ondokuz Mayis University, Samsun, Turkey","institution_ids":["https://openalex.org/I227306068"]},{"raw_affiliation_string":"Cyber Security and Information Technologies Research and Development Center and Department of Computer Engineering, Ondokuz Mayis University, 55270 Samsun, Turkiye","institution_ids":["https://openalex.org/I227306068"]},{"raw_affiliation_string":"University of Tartu, Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005506642","display_name":"Muharrem Tolga Sakall\u0131","orcid":"https://orcid.org/0000-0002-6322-0989"},"institutions":[{"id":"https://openalex.org/I12387023","display_name":"Trakya University","ror":"https://ror.org/00xa0xn82","country_code":"TR","type":"education","lineage":["https://openalex.org/I12387023"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Muharrem Tolga Sakall\u0131","raw_affiliation_strings":["Department of Computer Engineering, Faculty of Engineering, Trakya University, Edirne, Turkey","Department of Computer Engineering, Faculty of Engineering, Trakya University, 22020 Edirne, Turkiye"],"raw_orcid":"https://orcid.org/0000-0002-6322-0989","affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Trakya University, Edirne, Turkey","institution_ids":["https://openalex.org/I12387023"]},{"raw_affiliation_string":"Department of Computer Engineering, Faculty of Engineering, Trakya University, 22020 Edirne, Turkiye","institution_ids":["https://openalex.org/I12387023"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"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":0.6547,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.73879762,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"11","issue":null,"first_page":"32708","last_page":"32715"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9984999895095825,"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":0.9923999905586243,"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/block-cipher","display_name":"Block cipher","score":0.5585576891899109},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.5277621746063232},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47605085372924805},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47477102279663086},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.46605807542800903},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4556600749492645},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43152546882629395},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4045591354370117},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3502423167228699},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34911179542541504},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34830671548843384},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11796808242797852},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1147797703742981}],"concepts":[{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.5585576891899109},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.5277621746063232},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47605085372924805},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47477102279663086},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.46605807542800903},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4556600749492645},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43152546882629395},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4045591354370117},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3502423167228699},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34911179542541504},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34830671548843384},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11796808242797852},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1147797703742981}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/access.2023.3262924","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262924","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10086484.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:c4bb4635-b5a0-477a-8f3c-ae699d72e851","is_oa":false,"landing_page_url":"https://avesis.kocaeli.edu.tr/publication/details/c4bb4635-b5a0-477a-8f3c-ae699d72e851/oai","pdf_url":null,"source":{"id":"https://openalex.org/S7407055291","display_name":"Kocaeli \u00dcniversitesi - AVES\u0130S","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:e713ab78569e45f0ac9a6730fcdc6d13","is_oa":true,"landing_page_url":"https://doaj.org/article/e713ab78569e45f0ac9a6730fcdc6d13","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 11, Pp 32708-32715 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2023.3262924","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2023.3262924","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/6514899/10086484.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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G841365915","display_name":null,"funder_award_id":"2219-Postdoctoral","funder_id":"https://openalex.org/F4320322626","funder_display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu"}],"funders":[{"id":"https://openalex.org/F4320322626","display_name":"T\u00fcrkiye Bilimsel ve Teknolojik Ara\u015ft\u0131rma Kurumu","ror":"https://ror.org/04w9kkr77"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4361855749.pdf","grobid_xml":"https://content.openalex.org/works/W4361855749.grobid-xml"},"referenced_works_count":55,"referenced_works":["https://openalex.org/W35428663","https://openalex.org/W44079947","https://openalex.org/W163970851","https://openalex.org/W1489027369","https://openalex.org/W1499906440","https://openalex.org/W1501526247","https://openalex.org/W1528837436","https://openalex.org/W1531810027","https://openalex.org/W1552810527","https://openalex.org/W1572300106","https://openalex.org/W1597936869","https://openalex.org/W1600295433","https://openalex.org/W1710218451","https://openalex.org/W1817278314","https://openalex.org/W1894646615","https://openalex.org/W2003858108","https://openalex.org/W2079047661","https://openalex.org/W2099483791","https://openalex.org/W2109265351","https://openalex.org/W2120464016","https://openalex.org/W2129638043","https://openalex.org/W2141124495","https://openalex.org/W2169932713","https://openalex.org/W2242540160","https://openalex.org/W2409722729","https://openalex.org/W2485814324","https://openalex.org/W2488787554","https://openalex.org/W2497867845","https://openalex.org/W2500084106","https://openalex.org/W2620219640","https://openalex.org/W2782157655","https://openalex.org/W2793458514","https://openalex.org/W2801742862","https://openalex.org/W2908427070","https://openalex.org/W2921598147","https://openalex.org/W2952493348","https://openalex.org/W3004416760","https://openalex.org/W3046498207","https://openalex.org/W3126999900","https://openalex.org/W3159567446","https://openalex.org/W3211091140","https://openalex.org/W4206122404","https://openalex.org/W4213347158","https://openalex.org/W4213437024","https://openalex.org/W4220684665","https://openalex.org/W4229888879","https://openalex.org/W4246856544","https://openalex.org/W4248882369","https://openalex.org/W4251216631","https://openalex.org/W4256141437","https://openalex.org/W4281702688","https://openalex.org/W6629023319","https://openalex.org/W6733016732","https://openalex.org/W6790231249","https://openalex.org/W6992537255"],"related_works":["https://openalex.org/W4321064619","https://openalex.org/W2009525028","https://openalex.org/W2053599029","https://openalex.org/W3011179836","https://openalex.org/W1849484603","https://openalex.org/W3089223619","https://openalex.org/W4288849478","https://openalex.org/W2940752727","https://openalex.org/W1561797008","https://openalex.org/W2516549250"],"abstract_inverted_index":{"Maximum":[0],"Distance":[1],"Separable":[2],"(MDS)":[3],"matrices":[4,18,54,91,112],"are":[5],"used":[6],"as":[7],"the":[8,20,25,71,80,124],"main":[9],"component":[10],"of":[11,128],"diffusion":[12,22,35,111],"layers":[13],"in":[14,77],"block":[15],"ciphers.":[16],"MDS":[17,53,90,110],"have":[19],"optimal":[21,56,60],"properties":[23],"and":[24,37,41,84,109,116],"maximum":[26],"branch":[27],"number,":[28],"which":[29],"is":[30,46],"a":[31,47],"criterion":[32],"to":[33,50,59],"measure":[34],"rate":[36],"security":[38],"against":[39],"linear":[40],"differential":[42],"cryptanalysis.":[43],"However,":[44],"it":[45],"challenging":[48],"problem":[49],"construct":[51],"hardware-friendly":[52],"with":[55],"or":[57],"close":[58],"circuits,":[61],"especially":[62],"for":[63],"involutory":[64,89,108],"ones.":[65],"In":[66],"this":[67],"paper,":[68],"we":[69,97],"consider":[70],"generalized":[72],"subfield":[73],"construction":[74],"method":[75],"given":[76],"(1)":[78],"from":[79],"global":[81],"optimization":[82],"perspective":[83],"then":[85],"give":[86],"new":[87,104,120],"4\u00d74":[88],"over":[92],"F23and":[93],"F25.":[94],"After":[95],"that,":[96],"present":[98],"1,176":[99],"(=":[100],"28":[101],"\u00d7":[102,106],"42)":[103],"4":[105,107],"by":[113],"33":[114],"XORs":[115],"depth":[117],"3.":[118],"This":[119],"record":[121],"also":[122],"improves":[123],"previously":[125],"best-known":[126],"cost":[127],"38":[129],"XOR":[130],"gates.":[131]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}