{"id":"https://openalex.org/W2436978605","doi":"https://doi.org/10.3233/fi-2016-1349","title":"Construction of Efficient MDS Matrices Based on Block Circulant Matrices for Lightweight Application","display_name":"Construction of Efficient MDS Matrices Based on Block Circulant Matrices for Lightweight Application","publication_year":2016,"publication_date":"2016-06-13","ids":{"openalex":"https://openalex.org/W2436978605","doi":"https://doi.org/10.3233/fi-2016-1349","mag":"2436978605"},"language":"en","primary_location":{"id":"doi:10.3233/fi-2016-1349","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1349","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5112857750","display_name":"Huiting Han","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huiting Han","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China. rabbitting@126.com"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China. rabbitting@126.com","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054829854","display_name":"Chunming Tang","orcid":"https://orcid.org/0000-0001-9599-851X"},"institutions":[{"id":"https://openalex.org/I16351329","display_name":"China West Normal University","ror":"https://ror.org/04s99y476","country_code":"CN","type":"education","lineage":["https://openalex.org/I16351329"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chunming Tang","raw_affiliation_strings":["School of Mathematics and Information, China West Normal University, Sichuan Nanchong, 637002, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics and Information, China West Normal University, Sichuan Nanchong, 637002, China","institution_ids":["https://openalex.org/I16351329"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004126262","display_name":"Yu Lou","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu Lou","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100956729","display_name":"Maozhi Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I20231570","display_name":"Peking University","ror":"https://ror.org/02v51f717","country_code":"CN","type":"education","lineage":["https://openalex.org/I20231570"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Maozhi Xu","raw_affiliation_strings":["LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China. mzxu@pku.edu.cn"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China","institution_ids":["https://openalex.org/I20231570"]},{"raw_affiliation_string":"LMAM, School of Mathematical Sciences, Peking University, Beijing, 100871, P.R. China. mzxu@pku.edu.cn","institution_ids":["https://openalex.org/I20231570"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100956729"],"corresponding_institution_ids":["https://openalex.org/I20231570"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.03347949,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"145","issue":"2","first_page":"111","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9994000196456909,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/circulant-matrix","display_name":"Circulant matrix","score":0.8256229162216187},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6267095804214478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5982184410095215},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.5651682019233704},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5185495018959045},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4976637661457062},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4825512766838074},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4262523353099823},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4025765061378479},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3547093868255615},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3218501806259155},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07144993543624878}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8256229162216187},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6267095804214478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5982184410095215},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.5651682019233704},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5185495018959045},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4976637661457062},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4825512766838074},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4262523353099823},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4025765061378479},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3547093868255615},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3218501806259155},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07144993543624878},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-2016-1349","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-2016-1349","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W98521887","https://openalex.org/W156308847","https://openalex.org/W157243396","https://openalex.org/W1484622934","https://openalex.org/W1542662906","https://openalex.org/W1556212265","https://openalex.org/W1629301835","https://openalex.org/W1775533058","https://openalex.org/W1817278314","https://openalex.org/W1945671855","https://openalex.org/W1964723977","https://openalex.org/W2016560440","https://openalex.org/W2109265351","https://openalex.org/W2120464016","https://openalex.org/W2127908002","https://openalex.org/W2130387215","https://openalex.org/W2131792049","https://openalex.org/W2156775578","https://openalex.org/W2519262867","https://openalex.org/W2725380599","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2117159910","https://openalex.org/W2335757200","https://openalex.org/W2049656902","https://openalex.org/W2044900700","https://openalex.org/W2549019542","https://openalex.org/W4221160569","https://openalex.org/W2778196496","https://openalex.org/W2351993366","https://openalex.org/W3104476972","https://openalex.org/W2364451202"],"abstract_inverted_index":{"Maximum":[0],"distance":[1],"separable":[2],"(MDS)":[3],"codes":[4],"introduce":[5,41],"MDS":[6,60,97,106],"matrices":[7,47,74,80,98],"which":[8,54,102],"not":[9],"only":[10],"have":[11],"applications":[12],"in":[13,22],"coding":[14],"theory":[15],"but":[16],"also":[17],"are":[18,103],"of":[19,25,34,45,70,73,99,121],"great":[20,32],"importance":[21],"the":[23,119,123,126],"design":[24],"block":[26,49],"ciphers.":[27],"It":[28],"has":[29],"received":[30],"a":[31,42],"amount":[33],"attention.":[35],"In":[36],"this":[37,71,100],"paper,":[38],"we":[39,63,86],"first":[40],"special":[43],"generalization":[44],"circulant":[46,52],"called":[48],"circulants":[50],"with":[51,110],"blocks,":[53],"can":[55,81],"be":[56,82],"used":[57],"to":[58],"construct":[59],"matrices.":[61],"Then":[62],"investigate":[64],"some":[65,88],"interesting":[66],"and":[67,75,92,125],"useful":[68],"properties":[69],"class":[72,101],"prove":[76],"that":[77],"their":[78],"inverse":[79,128],"implemented":[83],"efficiently.":[84],"Furthermore,":[85],"present":[87],"4":[89,91],"\u00d7":[90,94],"8":[93,95],"efficient":[96],"suitable":[104],"for":[105,118],"diffusion":[107],"layer.":[108],"Compared":[109],"previous":[111],"results,":[112],"our":[113],"construction":[114],"provides":[115],"better":[116],"efficiency":[117],"implementation":[120],"both":[122],"matrix":[124],"its":[127],"matrix.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}