{"id":"https://openalex.org/W3037982174","doi":"https://doi.org/10.13154/tches.v2020.i4.281-308","title":"Minerva: The curse of ECDSA nonces","display_name":"Minerva: The curse of ECDSA nonces","publication_year":2020,"publication_date":"2020-08-26","ids":{"openalex":"https://openalex.org/W3037982174","doi":"https://doi.org/10.13154/tches.v2020.i4.281-308","mag":"3037982174"},"language":"en","primary_location":{"id":"pmh:oai:doaj.org/article:9f475132a461455faa5bb5553140c15c","is_oa":false,"landing_page_url":"https://doaj.org/article/9f475132a461455faa5bb5553140c15c","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Cryptographic Hardware and Embedded Systems, Vol 2020, Iss 4 (2020)","raw_type":"article"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10278/3745628","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013087653","display_name":"Jan Jancar","orcid":"https://orcid.org/0000-0002-1864-0183"},"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":"Jancar, Jan","raw_affiliation_strings":["Masaryk University, Brno, Czechia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czechia","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030635175","display_name":"Vladim\u00edr Sedl\u00e1\u010dek","orcid":"https://orcid.org/0000-0003-2409-661X"},"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"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Sedlacek, Vladimir","raw_affiliation_strings":["Ca' Foscari University of Venice, Venice, Italy"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ca' Foscari University of Venice, Venice, Italy","institution_ids":["https://openalex.org/I149461666"]}]},{"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":"Svenda, Petr","raw_affiliation_strings":["Masaryk University, Brno, Czechia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czechia","institution_ids":["https://openalex.org/I21449261"]}]},{"author_position":"last","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":"Sys, Marek","raw_affiliation_strings":["Masaryk University, Brno, Czechia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Masaryk University, Brno, Czechia","institution_ids":["https://openalex.org/I21449261"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6783,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.88773526,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"2020","issue":null,"first_page":"281","last_page":"308"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9990000128746033,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9990000128746033,"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":0.9921000003814697,"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/T10237","display_name":"Cryptography and Data Security","score":0.9908999800682068,"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":0.7248392701148987},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.6170904040336609},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5769665837287903},{"id":"https://openalex.org/keywords/scalar-multiplication","display_name":"Scalar multiplication","score":0.5284870862960815},{"id":"https://openalex.org/keywords/malware","display_name":"Malware","score":0.5008504390716553},{"id":"https://openalex.org/keywords/side-channel-attack","display_name":"Side channel attack","score":0.4952460825443268},{"id":"https://openalex.org/keywords/power-analysis","display_name":"Power analysis","score":0.4596606492996216},{"id":"https://openalex.org/keywords/modular-exponentiation","display_name":"Modular exponentiation","score":0.41420888900756836},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.3600621819496155},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3345658779144287},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3247971534729004},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.28754132986068726},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.2656889855861664},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.23197796940803528},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.19048377871513367},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.16279473900794983}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7248392701148987},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.6170904040336609},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5769665837287903},{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.5284870862960815},{"id":"https://openalex.org/C541664917","wikidata":"https://www.wikidata.org/wiki/Q14001","display_name":"Malware","level":2,"score":0.5008504390716553},{"id":"https://openalex.org/C49289754","wikidata":"https://www.wikidata.org/wiki/Q2267081","display_name":"Side channel attack","level":3,"score":0.4952460825443268},{"id":"https://openalex.org/C71743495","wikidata":"https://www.wikidata.org/wiki/Q2845210","display_name":"Power analysis","level":3,"score":0.4596606492996216},{"id":"https://openalex.org/C152763109","wikidata":"https://www.wikidata.org/wiki/Q1228841","display_name":"Modular exponentiation","level":4,"score":0.41420888900756836},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.3600621819496155},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3345658779144287},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3247971534729004},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.28754132986068726},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.2656889855861664},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.23197796940803528},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.19048377871513367},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.16279473900794983},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:doaj.org/article:9f475132a461455faa5bb5553140c15c","is_oa":false,"landing_page_url":"https://doaj.org/article/9f475132a461455faa5bb5553140c15c","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Transactions on Cryptographic Hardware and Embedded Systems, Vol 2020, Iss 4 (2020)","raw_type":"article"},{"id":"pmh:oai:iris.unive.it:10278/3745628","is_oa":true,"landing_page_url":"http://hdl.handle.net/10278/3745628","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"doi:10.13154/tches.v2020.i4.281-308","is_oa":true,"landing_page_url":"https://doi.org/10.13154/tches.v2020.i4.281-308","pdf_url":null,"source":null,"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"},{"id":"mag:3037982174","is_oa":false,"landing_page_url":"https://iris.unive.it/handle/10278/3745628","pdf_url":null,"source":{"id":"https://openalex.org/S4306418141","display_name":"Cryptographic Hardware and Embedded Systems","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Cryptographic Hardware and Embedded Systems","raw_type":null}],"best_oa_location":{"id":"pmh:oai:iris.unive.it:10278/3745628","is_oa":true,"landing_page_url":"http://hdl.handle.net/10278/3745628","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3039983047","https://openalex.org/W3014970794","https://openalex.org/W2979371882","https://openalex.org/W3107069083","https://openalex.org/W2985947210","https://openalex.org/W1535489610","https://openalex.org/W2962278589","https://openalex.org/W2341538571","https://openalex.org/W2016237014","https://openalex.org/W3030389482","https://openalex.org/W2406352568","https://openalex.org/W2774095756","https://openalex.org/W2808296455","https://openalex.org/W2902419995","https://openalex.org/W2977035953","https://openalex.org/W51430393","https://openalex.org/W1519351129","https://openalex.org/W2287566666","https://openalex.org/W2952047880","https://openalex.org/W3212495950"],"abstract_inverted_index":{"We":[0,69,133],"present":[1],"our":[2,161,189],"discovery":[3],"of":[4,7,12,43,101,127,137,205],"a":[5,18,57,61,105,152],"group":[6],"side-channel":[8],"vulnerabilities":[9,138],"in":[10,17,47,140,194],"implementations":[11,39],"the":[13,41,44,76,110,120,125,135,145,179,198,203],"ECDSA":[14],"signature":[15],"algorithm":[16],"widely":[19],"used":[20,46,130],"Atmel":[21],"AT90SC":[22],"FIPS":[23],"140-2":[24],"certified":[25],"smartcard":[26,97],"chip":[27],"and":[28,94,113,129,165,186],"five":[29],"cryptographic":[30,91],"libraries":[31],"(libgcrypt,":[32],"wolfSSL,":[33],"MatrixSSL,":[34],"SunEC/OpenJDK/Oracle":[35],"JDK,":[36],"Crypto++).":[37],"Vulnerable":[38],"leak":[40],"bit-length":[42],"scalar":[45,48],"multiplication":[49],"via":[50],"timing.":[51],"Using":[52],"leaked":[53],"bit-length,":[54],"we":[55,201],"mount":[56],"lattice":[58],"attack":[59,107],"on":[60,109,119],"256-bit":[62],"curve,":[63],"after":[64],"observing":[65],"enough":[66],"signing":[67],"operations.":[68],"propose":[70],"two":[71],"new":[72],"methods":[73,164,190],"to":[74,158,182,212],"recover":[75],"full":[77],"private":[78],"key":[79,171],"requiring":[80],"just":[81],"500":[82],"signatures":[83,102,207],"for":[84,89,96,104,154],"simulated":[85],"leakage":[86,128],"data,":[87,93],"1200":[88],"real":[90],"library":[92],"2100":[95],"data.":[98],"The":[99,174],"number":[100,204],"needed":[103],"successful":[106],"depends":[108],"chosen":[111],"method":[112],"its":[114,183],"parameters":[115],"as":[116,118,151],"well":[117],"noise":[121],"profile,":[122],"influenced":[123],"by":[124],"type":[126],"computation":[131],"platform.":[132],"use":[134],"set":[136],"reported":[139],"this":[141],"paper,":[142],"together":[143],"with":[144],"recently":[146],"published":[147,168],"TPM-FAIL":[148,199],"vulnerability":[149],"[MSE+20]":[150],"basis":[153],"real-world":[155],"benchmark":[156],"datasets":[157],"systematically":[159],"compare":[160],"newly":[162],"proposed":[163],"all":[166],"previously":[167],"applicable":[169],"lattice-based":[170],"recovery":[172],"methods.":[173],"resulting":[175],"exhaustive":[176],"comparison":[177],"highlights":[178],"methods\u2019":[180],"sensitivity":[181],"proper":[184],"parametrization":[185],"demonstrates":[187],"that":[188],"are":[191],"more":[192],"efficient":[193],"most":[195],"cases.":[196],"For":[197],"dataset,":[200],"decreased":[202],"required":[206],"from":[208],"approximately":[209],"40":[210],"000":[211],"mere":[213],"900.":[214]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2020-07-02T00:00:00"}
