{"id":"https://openalex.org/W2293265114","doi":"https://doi.org/10.1007/978-3-662-49387-8_3","title":"Easing Coppersmith Methods Using Analytic Combinatorics: Applications to Public-Key Cryptography with Weak Pseudorandomness","display_name":"Easing Coppersmith Methods Using Analytic Combinatorics: Applications to Public-Key Cryptography with Weak Pseudorandomness","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2293265114","doi":"https://doi.org/10.1007/978-3-662-49387-8_3","mag":"2293265114"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-49387-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49387-8_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5088875582","display_name":"Fabrice Benhamouda","orcid":"https://orcid.org/0000-0002-8300-1820"},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210100258","display_name":"National Confidential Enquiry into Patient Outcome and Death","ror":"https://ror.org/016knsn07","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210100258"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]}],"countries":["BI","FR","GB"],"is_corresponding":true,"raw_author_name":"Fabrice Benhamouda","raw_affiliation_strings":["\u00c9cole normale sup\u00e9rieure - Paris","D\u00e9partement d'informatique - ENS Paris","Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities"],"affiliations":[{"raw_affiliation_string":"\u00c9cole normale sup\u00e9rieure - Paris","institution_ids":["https://openalex.org/I4210103330"]},{"raw_affiliation_string":"D\u00e9partement d'informatique - ENS Paris","institution_ids":["https://openalex.org/I4210161954","https://openalex.org/I29607241"]},{"raw_affiliation_string":"Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities","institution_ids":["https://openalex.org/I4210100258"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113912569","display_name":"C\u00e9line Chevalier","orcid":null},"institutions":[{"id":"https://openalex.org/I117841876","display_name":"Universit\u00e9 Paris-Panth\u00e9on-Assas","ror":"https://ror.org/04qb2qm38","country_code":"FR","type":"education","lineage":["https://openalex.org/I117841876"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"C\u00e9line Chevalier","raw_affiliation_strings":["Universit\u00e9 Panth\u00e9on-Assas"],"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Panth\u00e9on-Assas","institution_ids":["https://openalex.org/I117841876"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091750695","display_name":"Adrian Thillard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"id":"https://openalex.org/I4210100258","display_name":"National Confidential Enquiry into Patient Outcome and Death","ror":"https://ror.org/016knsn07","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210100258"]}],"countries":["BI","FR","GB"],"is_corresponding":false,"raw_author_name":"Adrian Thillard","raw_affiliation_strings":["\u00c9cole normale sup\u00e9rieure - Paris","D\u00e9partement d'informatique - ENS Paris","Agence nationale de la s\u00e9curit\u00e9 des syst\u00e8mes d'information","Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities"],"affiliations":[{"raw_affiliation_string":"\u00c9cole normale sup\u00e9rieure - Paris","institution_ids":["https://openalex.org/I4210103330"]},{"raw_affiliation_string":"D\u00e9partement d'informatique - ENS Paris","institution_ids":["https://openalex.org/I4210161954","https://openalex.org/I29607241"]},{"raw_affiliation_string":"Agence nationale de la s\u00e9curit\u00e9 des syst\u00e8mes d'information","institution_ids":[]},{"raw_affiliation_string":"Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities","institution_ids":["https://openalex.org/I4210100258"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007227314","display_name":"Damien Vergnaud","orcid":"https://orcid.org/0000-0002-2113-3967"},"institutions":[{"id":"https://openalex.org/I4210161954","display_name":"D\u00e9partement d'Informatique","ror":"https://ror.org/05y6rqs46","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I2746051580","https://openalex.org/I29607241","https://openalex.org/I4210159245","https://openalex.org/I4210161954"]},{"id":"https://openalex.org/I4210103330","display_name":"\u00c9cole Normale Sup\u00e9rieure","ror":"https://ror.org/01dp7jr64","country_code":"BI","type":"education","lineage":["https://openalex.org/I4210103330"]},{"id":"https://openalex.org/I4210100258","display_name":"National Confidential Enquiry into Patient Outcome and Death","ror":"https://ror.org/016knsn07","country_code":"GB","type":"nonprofit","lineage":["https://openalex.org/I4210100258"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["BI","FR","GB"],"is_corresponding":false,"raw_author_name":"Damien Vergnaud","raw_affiliation_strings":["Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities","D\u00e9partement d'informatique - ENS Paris","\u00c9cole normale sup\u00e9rieure - Paris"],"affiliations":[{"raw_affiliation_string":"Construction and Analysis of Systems for Confidentiality and Authenticity of Data and Entities","institution_ids":["https://openalex.org/I4210100258"]},{"raw_affiliation_string":"D\u00e9partement d'informatique - ENS Paris","institution_ids":["https://openalex.org/I4210161954","https://openalex.org/I29607241"]},{"raw_affiliation_string":"\u00c9cole normale sup\u00e9rieure - Paris","institution_ids":["https://openalex.org/I4210103330"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088875582"],"corresponding_institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210100258","https://openalex.org/I4210103330","https://openalex.org/I4210161954"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.3545,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79456718,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"36","last_page":"66"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998000264167786,"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":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.6355964541435242},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.5958632230758667},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5721644163131714},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.5063577890396118},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4988231658935547},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49360859394073486},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.48586505651474},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.44731152057647705},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.43712225556373596},{"id":"https://openalex.org/keywords/key-generation","display_name":"Key generation","score":0.4155963361263275},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4155479371547699},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3941681683063507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3838212788105011},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.37511882185935974},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.36025846004486084},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.300212562084198},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14290443062782288}],"concepts":[{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.6355964541435242},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.5958632230758667},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5721644163131714},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.5063577890396118},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4988231658935547},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49360859394073486},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.48586505651474},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.44731152057647705},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.43712225556373596},{"id":"https://openalex.org/C163173736","wikidata":"https://www.wikidata.org/wiki/Q3308558","display_name":"Key generation","level":3,"score":0.4155963361263275},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4155479371547699},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3941681683063507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3838212788105011},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.37511882185935974},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.36025846004486084},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.300212562084198},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14290443062782288},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-662-49387-8_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-49387-8_3","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-01278460v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01278460","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://troll.iis.sinica.edu.tw/pkc16","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W10068438","https://openalex.org/W80633386","https://openalex.org/W185864230","https://openalex.org/W186403072","https://openalex.org/W187982259","https://openalex.org/W652060095","https://openalex.org/W1491644923","https://openalex.org/W1519317114","https://openalex.org/W1543776256","https://openalex.org/W1550863203","https://openalex.org/W1560216457","https://openalex.org/W1562208741","https://openalex.org/W1565112835","https://openalex.org/W1623551255","https://openalex.org/W1749471906","https://openalex.org/W1809974132","https://openalex.org/W1961022628","https://openalex.org/W1981326822","https://openalex.org/W2075917111","https://openalex.org/W2088708578","https://openalex.org/W2101022010","https://openalex.org/W2101040389","https://openalex.org/W2103832773","https://openalex.org/W2126897083","https://openalex.org/W2130614344","https://openalex.org/W2132350327","https://openalex.org/W2137602133","https://openalex.org/W2147906334","https://openalex.org/W2340541605","https://openalex.org/W2404371125","https://openalex.org/W4210300416","https://openalex.org/W4256668924","https://openalex.org/W4285719527","https://openalex.org/W6636688344"],"related_works":["https://openalex.org/W2082419723","https://openalex.org/W4241950541","https://openalex.org/W3203585077","https://openalex.org/W2176553175","https://openalex.org/W2185337847","https://openalex.org/W2143898630","https://openalex.org/W1994207320","https://openalex.org/W3087294829","https://openalex.org/W2343905204","https://openalex.org/W2077146536"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}