{"id":"https://openalex.org/W2766724343","doi":"https://doi.org/10.1145/3133956.3133969","title":"The Return of Coppersmith's Attack","display_name":"The Return of Coppersmith's Attack","publication_year":2017,"publication_date":"2017-10-27","ids":{"openalex":"https://openalex.org/W2766724343","doi":"https://doi.org/10.1145/3133956.3133969","mag":"2766724343"},"language":"en","primary_location":{"id":"doi:10.1145/3133956.3133969","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3133956.3133969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 ACM SIGSAC Conference on Computer and Communications Security","raw_type":"proceedings-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/A5079804999","display_name":"Mat\u00fa\u0161 Nemec","orcid":"https://orcid.org/0000-0002-1543-1984"},"institutions":[{"id":"https://openalex.org/I149461666","display_name":"Ca' Foscari University of Venice","ror":"https://ror.org/04yzxz566","country_code":"IT","type":"education","lineage":["https://openalex.org/I149461666"]},{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ","IT"],"is_corresponding":true,"raw_author_name":"Matus Nemec","raw_affiliation_strings":["Masaryk University, Ca' Foscari University of Venice, Brno, Czech Rep"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Ca' Foscari University of Venice, Brno, Czech Rep","institution_ids":["https://openalex.org/I149461666","https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037650669","display_name":"Marek S\u00fds","orcid":"https://orcid.org/0000-0003-0534-5916"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Marek Sys","raw_affiliation_strings":["Masaryk University, Brno, Czech Rep"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Rep","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069701908","display_name":"Petr \u0160venda","orcid":"https://orcid.org/0000-0002-9784-7624"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Petr Svenda","raw_affiliation_strings":["Masaryk University, Brno, Czech Rep"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Rep","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065840856","display_name":"Du\u0161an Klinec","orcid":null},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Dusan Klinec","raw_affiliation_strings":["EnigmaBridge, Masaryk University, Brno, Czech Rep"],"affiliations":[{"raw_affiliation_string":"EnigmaBridge, Masaryk University, Brno, Czech Rep","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089620979","display_name":"Vashek Maty\u00e1\u0161","orcid":"https://orcid.org/0000-0001-7957-7694"},"institutions":[{"id":"https://openalex.org/I21449261","display_name":"Masaryk University","ror":"https://ror.org/02j46qs45","country_code":"CZ","type":"education","lineage":["https://openalex.org/I21449261"]}],"countries":["CZ"],"is_corresponding":false,"raw_author_name":"Vashek Matyas","raw_affiliation_strings":["Masaryk University, Brno, Czech Rep"],"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czech Rep","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5079804999"],"corresponding_institution_ids":["https://openalex.org/I149461666","https://openalex.org/I21449261"],"apc_list":null,"apc_paid":null,"fwci":4.1621,"has_fulltext":false,"cited_by_count":101,"citation_normalized_percentile":{"value":0.9656,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"1631","last_page":"1648"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9983000159263611,"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"}},"topics":[{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9983000159263611,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9812999963760376,"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/computer-science","display_name":"Computer science","score":0.7443987727165222},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6492255330085754},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.5780799984931946},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.5740063190460205},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5276288390159607},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.46818482875823975},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4338783919811249},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4311745762825012},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.19017130136489868},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.13676458597183228},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.13448122143745422},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.12112006545066833}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7443987727165222},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6492255330085754},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.5780799984931946},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.5740063190460205},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5276288390159607},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.46818482875823975},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4338783919811249},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4311745762825012},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.19017130136489868},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.13676458597183228},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.13448122143745422},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.12112006545066833},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3133956.3133969","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3133956.3133969","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2017 ACM SIGSAC Conference on Computer and Communications Security","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.unive.it:10278/3693517","is_oa":false,"landing_page_url":"https://dl.acm.org/citation.cfm?id=3133969","pdf_url":null,"source":{"id":"https://openalex.org/S4306402336","display_name":"ARCA (Universit\u00e0 Ca' Foscari Venezia)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149461666","host_organization_name":"Ca' Foscari University of Venice","host_organization_lineage":["https://openalex.org/I149461666"],"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/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.44999998807907104,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":2,"referenced_works":["https://openalex.org/W1512758206","https://openalex.org/W2113600343"],"related_works":["https://openalex.org/W2106922437","https://openalex.org/W2158491338","https://openalex.org/W2133733652","https://openalex.org/W2606392311","https://openalex.org/W4385956668","https://openalex.org/W2900895161","https://openalex.org/W4318899699","https://openalex.org/W2167867025","https://openalex.org/W2793953927","https://openalex.org/W767161385"],"abstract_inverted_index":{"We":[0,42,84,183],"report":[1],"on":[2,75],"our":[3],"discovery":[4],"of":[5,12,22,26,40,67,88,96,120,160,162,187,195,199],"an":[6,86,93],"algorithmic":[7],"flaw":[8],"in":[9,18,99,103,107,145,192],"the":[10,33,65,68,97,139,148,153,185,193],"construction":[11],"primes":[13,30,98],"for":[14,48,64,116,133,173],"RSA":[15],"key":[16,50],"generation":[17],"a":[19,23,37,44,76,79,117],"widely-used":[20],"library":[21,34,102,141],"major":[24],"manufacturer":[25],"cryptographic":[27],"hardware.":[28],"The":[29,101],"generated":[31],"by":[32],"suffer":[35],"from":[36],"significant":[38,170],"loss":[39],"entropy.":[41],"propose":[43],"practical":[45],"factorization":[46,90],"method":[47,58],"various":[49],"lengths":[51],"including":[52,123],"1024":[53],"and":[54,71,111,131,181],"2048":[55],"bits.":[56],"Our":[57],"requires":[59],"no":[60],"additional":[61],"information":[62],"except":[63],"value":[66],"public":[69],"modulus":[70],"does":[72],"not":[73],"depend":[74],"weak":[77],"or":[78,135],"faulty":[80],"random":[81],"number":[82,186],"generator.":[83],"devised":[85],"extension":[87],"Coppersmith's":[89],"attack":[91],"utilizing":[92],"alternative":[94],"form":[95],"question.":[100],"question":[104],"is":[105],"found":[106],"NIST":[108],"FIPS":[109],"140-2":[110],"CC~EAL~5+":[112],"certified":[113],"devices":[114,155,189],"used":[115],"wide":[118],"range":[119],"real-world":[121],"applications,":[122],"identity":[124,175],"cards,":[125],"passports,":[126],"Trusted":[127,179],"Platform":[128],"Modules,":[129],"PGP":[130],"tokens":[132],"authentication":[134],"software":[136,177],"signing.":[137],"As":[138],"relevant":[140],"code":[142],"was":[143],"introduced":[144],"2012":[146],"at":[147,196],"latest":[149],"(and":[150],"probably":[151],"earlier),":[152],"impacted":[154],"are":[156],"now":[157],"widespread.":[158],"Tens":[159],"thousands":[161],"such":[163],"keys":[164],"were":[165],"directly":[166],"identified,":[167],"many":[168],"with":[169],"impacts,":[171],"especially":[172],"electronic":[174],"documents,":[176],"signing,":[178],"Computing":[180],"PGP.":[182],"estimate":[184],"affected":[188],"to":[190],"be":[191],"order":[194],"least":[197],"tens":[198],"millions.":[200]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":11},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":9},{"year":2021,"cited_by_count":15},{"year":2020,"cited_by_count":14},{"year":2019,"cited_by_count":14},{"year":2018,"cited_by_count":17}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2017-11-10T00:00:00"}