{"id":"https://openalex.org/W2953120548","doi":"https://doi.org/10.1137/18m1176622","title":"Nonmalleable Extractors and Codes, with Their Many Tampered Extensions","display_name":"Nonmalleable Extractors and Codes, with Their Many Tampered Extensions","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W2953120548","doi":"https://doi.org/10.1137/18m1176622","mag":"2953120548"},"language":"en","primary_location":{"id":"doi:10.1137/18m1176622","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1176622","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1505.00107.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045073799","display_name":"Eshan Chattopadhyay","orcid":"https://orcid.org/0000-0001-9140-3160"},"institutions":[{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Eshan Chattopadhyay","raw_affiliation_strings":["University of Texas at Austin, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Texas at Austin, USA","institution_ids":["https://openalex.org/I86519309"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102383383","display_name":"Vipul Goyal","orcid":"https://orcid.org/0000-0003-2774-6892"},"institutions":[{"id":"https://openalex.org/I4210124949","display_name":"Microsoft Research (India)","ror":"https://ror.org/02w7f3w92","country_code":"IN","type":"company","lineage":["https://openalex.org/I1290206253","https://openalex.org/I4210124949"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vipul Goyal","raw_affiliation_strings":["[Microsoft Research, India]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Microsoft Research, India]","institution_ids":["https://openalex.org/I4210124949"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100353875","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-4691-4508"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["[Johns Hopkins University,USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[Johns Hopkins University,USA]","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1354,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.52203824,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"49","issue":"5","first_page":"999","last_page":"1040"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9904999732971191,"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/T11598","display_name":"Internet Traffic Analysis and Secure E-voting","score":0.9901000261306763,"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/randomness","display_name":"Randomness","score":0.7231622934341431},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6801350712776184},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6423259973526001},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5272347331047058},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.515828549861908},{"id":"https://openalex.org/keywords/extractor","display_name":"Extractor","score":0.49036192893981934},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45745527744293213},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4393310546875},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4175829589366913},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.41125011444091797},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4063219428062439},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3689846396446228},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1730155646800995},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.10177674889564514},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0986781120300293}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.7231622934341431},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6801350712776184},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6423259973526001},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5272347331047058},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.515828549861908},{"id":"https://openalex.org/C117978034","wikidata":"https://www.wikidata.org/wiki/Q5422192","display_name":"Extractor","level":2,"score":0.49036192893981934},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45745527744293213},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4393310546875},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4175829589366913},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.41125011444091797},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4063219428062439},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3689846396446228},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1730155646800995},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.10177674889564514},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0986781120300293},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C21880701","wikidata":"https://www.wikidata.org/wiki/Q2144042","display_name":"Process engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/18m1176622","is_oa":false,"landing_page_url":"https://doi.org/10.1137/18m1176622","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"mag:2953120548","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.00107.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"mag:3030672762","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"mag:2953120548","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.00107.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6124662924","display_name":null,"funder_award_id":"CCF-1218723","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6741262221","display_name":null,"funder_award_id":"CCF-1526952","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G899791353","display_name":"AF:Small:Pseudorandomness and Randomness Extraction","funder_award_id":"1218723","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320308943","display_name":"Microsoft Research","ror":"https://ror.org/00d0nc645"},{"id":"https://openalex.org/F4320310145","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W59080509","https://openalex.org/W78558797","https://openalex.org/W1487376352","https://openalex.org/W1967175855","https://openalex.org/W1968711647","https://openalex.org/W1976815826","https://openalex.org/W1996716779","https://openalex.org/W2024766111","https://openalex.org/W2032056095","https://openalex.org/W2044406747","https://openalex.org/W2047772026","https://openalex.org/W2071829521","https://openalex.org/W2072677341","https://openalex.org/W2090418561","https://openalex.org/W2096171805","https://openalex.org/W2097079400","https://openalex.org/W2099219181","https://openalex.org/W2104965768","https://openalex.org/W2106066551","https://openalex.org/W2108240973","https://openalex.org/W2108347494","https://openalex.org/W2118629598","https://openalex.org/W2122270497","https://openalex.org/W2127367297","https://openalex.org/W2128726521","https://openalex.org/W2137072047","https://openalex.org/W2140805804","https://openalex.org/W2146813141","https://openalex.org/W2151303208","https://openalex.org/W2163122958","https://openalex.org/W2164908759","https://openalex.org/W2166492758","https://openalex.org/W2167765756","https://openalex.org/W2178550656","https://openalex.org/W2217040139","https://openalex.org/W2433413249","https://openalex.org/W2474003672","https://openalex.org/W2569930253","https://openalex.org/W2610183793","https://openalex.org/W2625364733","https://openalex.org/W2909978789","https://openalex.org/W2945571052","https://openalex.org/W2953099588","https://openalex.org/W3138266838","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2401196218","https://openalex.org/W2471375024","https://openalex.org/W2965040934","https://openalex.org/W2624817146","https://openalex.org/W3122930731","https://openalex.org/W2578449970","https://openalex.org/W3212973854","https://openalex.org/W2950693634","https://openalex.org/W3035605494","https://openalex.org/W2397784865","https://openalex.org/W2565116040","https://openalex.org/W2945571052","https://openalex.org/W2951497230","https://openalex.org/W3194486025","https://openalex.org/W2143460704","https://openalex.org/W2351166614","https://openalex.org/W2283490837","https://openalex.org/W2119913278","https://openalex.org/W2063544484","https://openalex.org/W2913819900"],"abstract_inverted_index":{"Randomness":[0],"extractors":[1,144,252,268,337],"and":[2,25,38,48,52,59,88,155,165,185,214,274,303,314,326,338,376,385,410],"error":[3,304],"correcting":[4],"codes":[5,396],"are":[6,31,101,191],"fundamental":[7],"objects":[8],"in":[9,22,75,122,162,231,234,261,311,373,433,443],"computer":[10],"science.":[11],"Recently,":[12],"there":[13],"have":[14,72,90,152],"been":[15],"several":[16],"natural":[17,332],"generalizations":[18,333],"of":[19,27,124,132,141,236,265,278,330,334,421,435],"these":[20,406],"objects,":[21],"the":[23,98,108,125,182,227,262,288,308,328,342,345,356,371,392,446],"context":[24],"study":[26,329],"tamper-resilient":[28],"cryptography.":[29],"These":[30],"seeded":[32,111,199,250],"nonmalleable":[33,43,53,85,112,142,200,251,291,336,339,359,395,412,427,453],"extractors,":[34,44],"introduced":[35,45,55],"by":[36,46,56,445],"Dodis":[37],"Wichs":[39,60],"(STOC":[40],"2009);":[41],"seedless":[42,335],"Cheraghchi":[47,164,313,375],"Guruswami":[49],"(TCC":[50,238],"2014);":[51],"codes,":[54,86,340],"Dziembowski,":[57],"Pietrzak,":[58],"(J.":[61],"ACM,":[62],"2018).":[63],"Besides":[64],"being":[65],"interesting":[66],"on":[67,130],"their":[68,94,104],"own,":[69],"they":[70],"also":[71],"important":[73],"applications":[74],"cryptography,":[76],"e.g.,":[77],"privacy":[78,219],"amplification":[79,220],"with":[80,222,299,362,397],"an":[81,159,197],"active":[82],"adversary,":[83],"explicit":[84,139,198,266,290,358,394],"etc.,":[87],"often":[89],"unexpected":[91],"connections":[92],"to":[93,367,402,450],"nontampered":[95,105],"analogues.":[96],"However,":[97],"known":[99,110,147,229,424],"constructions":[100,437],"far":[102],"behind":[103],"counterparts.":[106],"Indeed,":[107],"best":[109,228],"extractor":[113,201,293,361],"requires":[114],"min-entropy":[115,154,203,271,295],"rate":[116],"at":[117],"least":[118],"0.49":[119],"[X.":[120,232],"Li,":[121,233],"Proceedings":[123],"53rd":[126],"Annual":[127],"IEEE":[128],"Symposium":[129],"Foundations":[131],"Computer":[133],"Science,":[134],"2012,":[135],"pp.":[136,172,242,283,321,383],"688--697],":[137],"while":[138],"construction":[140,264],"two-source":[143,267,292,360],"was":[145,156],"not":[146],"even":[148],"if":[149],"both":[150],"sources":[151,343],"full":[153],"left":[157],"as":[158,192,425,441],"open":[160,309],"problem":[161],"[M.":[163,312,374],"V.":[166,315,377],"Guruswami,":[167,316,378],"J.":[168,317,379],"Cryptology,":[169,318,380],"30":[170,319,381],"(2017),":[171,320,382],"191--241].":[173,322],"In":[174,244],"this":[175],"paper":[176],"we":[177,246,354,390],"make":[178],"progress":[179],"towards":[180],"solving":[181],"above":[183],"problems":[184],"other":[186],"related":[187],"generalizations.":[188],"Our":[189,429],"contributions":[190],"follows:":[193],"(i)":[194],"We":[195,286,324,404],"construct":[196,247,287,355,451],"for":[202,269,294],"$k":[204,296],"\\geq":[205,297],"\\log^2":[206],"n$.":[207],"This":[208,414],"dramatically":[209],"improves":[210],"all":[211,434],"previous":[212],"results":[213],"gives":[215],"a":[216,416,422],"simpler":[217],"two-round":[218],"protocol":[221],"optimal":[223],"entropy":[224],"loss,":[225],"matching":[226],"result":[230],"Theory":[235],"Cryptography":[237],"2015),":[239],"Springer,":[240],"2015,":[241],"502--531].":[243],"fact,":[245],"more":[248],"general":[249],"(that":[253],"can":[254,438],"handle":[255],"multiple":[256],"adversaries)":[257],"which":[258],"were":[259],"used":[260,432,449],"recent":[263],"polylogarithmic":[270],"[E.":[272],"Chattopadhyay":[273],"D.":[275],"Zuckerman,":[276],"Ann.":[277],"Math.":[279],"(2),":[280],"189":[281],"(2019),":[282],"653--705].":[284],"(ii)":[285],"first":[289,357,393],"n-n^{\\Omega(1)}$,":[298],"output":[300],"size":[301],"$n^{\\Omega(1)}$":[302],"$2^{-n^{\\Omega(1)}}$,":[305],"thus":[306],"resolving":[307],"question":[310],"(iii)":[323],"motivate":[325],"initiate":[327],"two":[331],"where":[341],"or":[344],"codeword":[346],"may":[347],"be":[348,439],"tampered":[349],"many":[350],"times.":[351],"For":[352],"this,":[353],"tampering":[363,398],"degree":[364,399],"$t$":[365,400],"up":[366,401],"$n^{\\Omega(1)}$.":[368,403],"By":[369],"using":[370],"connection":[372],"191--241]":[384],"providing":[386],"efficient":[387],"sampling":[388],"algorithms,":[389],"obtain":[391],"call":[405],"stronger":[407,417],"notions":[408],"one-many":[409],"many-many":[411],"codes.":[413,428],"provides":[415],"information":[418],"theoretic":[419],"analogue":[420],"primitive":[423],"continuous":[426],"basic":[430],"technique":[431],"our":[436],"seen":[440],"inspired,":[442],"part,":[444],"techniques":[447],"previously":[448],"cryptographic":[452],"commitments.":[454]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}