{"id":"https://openalex.org/W2051933387","doi":"https://doi.org/10.1109/tit.2012.2204530","title":"Multiproperty-Preserving Domain Extension Using Polynomial-Based Modes of Operation","display_name":"Multiproperty-Preserving Domain Extension Using Polynomial-Based Modes of Operation","publication_year":2012,"publication_date":"2012-06-12","ids":{"openalex":"https://openalex.org/W2051933387","doi":"https://doi.org/10.1109/tit.2012.2204530","mag":"2051933387"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2204530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2204530","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","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/A5100401535","display_name":"Jooyoung Lee","orcid":"https://orcid.org/0000-0001-5471-9350"},"institutions":[{"id":"https://openalex.org/I28777354","display_name":"Sejong University","ror":"https://ror.org/00aft1q37","country_code":"KR","type":"education","lineage":["https://openalex.org/I28777354"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jooyoung Lee","raw_affiliation_strings":["Faculty of Mathematics and Statistics, Sejong University, Seoul, South Korea","Faculty of Mathematics and Statistics, Sejong University, Seoul, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Sejong University, Seoul, South Korea","institution_ids":["https://openalex.org/I28777354"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Sejong University, Seoul, Korea","institution_ids":["https://openalex.org/I28777354"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068837614","display_name":"John Steinberger","orcid":null},"institutions":[{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"John Steinberger","raw_affiliation_strings":["Institute of Theoretical Computer Science, Tsinghua University, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Theoretical Computer Science, Tsinghua University, Beijing, China","institution_ids":["https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8846,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.79733458,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"58","issue":"9","first_page":"6165","last_page":"6182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":1.0,"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":1.0,"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":0.9983999729156494,"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/T11241","display_name":"Advanced Malware Detection Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/notation","display_name":"Notation","score":0.657307505607605},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5174463391304016},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.45751968026161194},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4441498816013336},{"id":"https://openalex.org/keywords/domain","display_name":"Domain (mathematical analysis)","score":0.4231330156326294},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4143662452697754},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4080609083175659},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3523293137550354},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.322548508644104},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.27130126953125},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.20744511485099792}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.657307505607605},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5174463391304016},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.45751968026161194},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4441498816013336},{"id":"https://openalex.org/C36503486","wikidata":"https://www.wikidata.org/wiki/Q11235244","display_name":"Domain (mathematical analysis)","level":2,"score":0.4231330156326294},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4143662452697754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4080609083175659},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3523293137550354},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.322548508644104},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.27130126953125},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.20744511485099792},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2204530","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2204530","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W16894843","https://openalex.org/W81015123","https://openalex.org/W1480951587","https://openalex.org/W1505322521","https://openalex.org/W1509614685","https://openalex.org/W1522447864","https://openalex.org/W1524358972","https://openalex.org/W1524660258","https://openalex.org/W1530627085","https://openalex.org/W1533007301","https://openalex.org/W1547189451","https://openalex.org/W1549228503","https://openalex.org/W1565415113","https://openalex.org/W1567888865","https://openalex.org/W1578013366","https://openalex.org/W1581083284","https://openalex.org/W1587127684","https://openalex.org/W1600432225","https://openalex.org/W1619166970","https://openalex.org/W1689385595","https://openalex.org/W1754628477","https://openalex.org/W1766319578","https://openalex.org/W1778824762","https://openalex.org/W1822502977","https://openalex.org/W1939171670","https://openalex.org/W1998322533","https://openalex.org/W2007585625","https://openalex.org/W2120644709","https://openalex.org/W2122775562","https://openalex.org/W2146395537","https://openalex.org/W2147436724","https://openalex.org/W2156912159","https://openalex.org/W2160950619","https://openalex.org/W2167606175","https://openalex.org/W2170368342","https://openalex.org/W2400105618","https://openalex.org/W6603246736","https://openalex.org/W6631187095","https://openalex.org/W6631270031","https://openalex.org/W6631302575","https://openalex.org/W6634786429","https://openalex.org/W6636534664","https://openalex.org/W6637466601","https://openalex.org/W6637993899","https://openalex.org/W6638294983","https://openalex.org/W6678275309","https://openalex.org/W6682904510","https://openalex.org/W6684759549"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2075768550","https://openalex.org/W3022218857","https://openalex.org/W2024638892","https://openalex.org/W2498744856","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W149041114","https://openalex.org/W2369178846","https://openalex.org/W2963177394"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"propose":[4],"a":[5,52,62,66,94],"new":[6],"double-piped":[7,38],"mode":[8,28,39],"of":[9,15,29,40,42,54],"operation":[10,30,41],"for":[11],"multiproperty-preserving":[12],"domain":[13],"extension":[14],"message":[16],"authentication":[17],"codes":[18],"(MACs),":[19],"pseudorandom":[20,24],"functions":[21,57],"(PRFs),":[22],"and":[23,92,153],"oracles":[25],"(PROs).":[26],"Our":[27,48],"performs":[31],"twice":[32],"as":[33,35,147,149],"fast":[34],"the":[36,104,124],"original":[37],"Lucks":[43],"while":[44],"providing":[45],"comparable":[46],"security.":[47],"construction,":[49],"which":[50],"uses":[51,93],"class":[53],"polynomial-based":[55],"compression":[56],"proposed":[58],"by":[59],"Stam,":[60],"makes":[61],"single":[63],"call":[64],"to":[65,74,140],"<formula":[67,75,83,97,109,117,141,150,154],"formulatype=\"inline\"":[68,76,84,98,110,118],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[69,77,85,99,111,119,131],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[70,86,100,112],"Notation=\"TeX\">$3n$</tex>":[71],"</formula>":[72,88,102,136,144],"-bit":[73,81,114],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[78,120,132],"<tex":[79,121,156],"Notation=\"TeX\">$n$</tex></formula>":[80,113],"primitive":[82],"Notation=\"TeX\">$f_{1}$</tex>":[87],"at":[89,103],"each":[90],"iteration":[91],"finalization":[95],"function":[96,116],"Notation=\"TeX\">$f_{2}$</tex>":[101],"last":[105],"iteration,":[106],"producing":[107],"an":[108],"hash":[115],"Notation=\"TeX\">$H[f_{1},f_{2}]$</tex></formula>":[122],"satisfying":[123],"following":[125],"properties.":[126],"<orderedlist":[127],"continuation=\"restarts\"":[128],"numeration=\"arabic\"":[129],"posttext=\")\"":[130],"<listitem><para><formula":[133],"formulatype=\"inline\"><tex":[134,142,151],"Notation=\"TeX\">$H[f_{1},f_{2}]$</tex>":[135],"is":[137],"unforgeable":[138],"up":[139],"Notation=\"TeX\">$O(2^{n}/n)$</tex>":[143],"query":[145],"complexity":[146],"long":[148],"Notation=\"TeX\">$f_{1}$</tex></formula>":[152],"formulatype=\"inline\">":[155],"Notation=\"TeX\">$f_{2}$</tex></formula>":[157],"are":[158],"unforgeable.</para></listitem></orderedlist>":[159]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
