{"id":"https://openalex.org/W1603600847","doi":"https://doi.org/10.1007/11745853_3","title":"Cryptanalysis of an Efficient Proof of Knowledge of Discrete Logarithm","display_name":"Cryptanalysis of an Efficient Proof of Knowledge of Discrete Logarithm","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1603600847","doi":"https://doi.org/10.1007/11745853_3","mag":"1603600847"},"language":"en","primary_location":{"id":"doi:10.1007/11745853_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11745853_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F11745853_3.pdf","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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007%2F11745853_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5012575505","display_name":"S\u00e9bastien Kunz-Jacques","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"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":["FR"],"is_corresponding":false,"raw_author_name":"S\u00e9bastien Kunz-Jacques","raw_affiliation_strings":["DCSSI Crypto Lab, Paris 07 SP, France","D\u00e9partement d\u2019informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","D\u00e9partement d'informatique, \u00c9cole normale sup\u00e9rieure, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCSSI Crypto Lab, Paris 07 SP, France","institution_ids":[]},{"raw_affiliation_string":"D\u00e9partement d\u2019informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210161954"]},{"raw_affiliation_string":"D\u00e9partement d'informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210161954"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085023711","display_name":"Gwena\u00eblle Martinet","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gwena\u00eblle Martinet","raw_affiliation_strings":["DCSSI Crypto Lab, Paris 07 SP, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCSSI Crypto Lab, Paris 07 SP, France","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053414030","display_name":"Guillaume Poupard","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guillaume Poupard","raw_affiliation_strings":["DCSSI Crypto Lab, Paris 07 SP, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DCSSI Crypto Lab, Paris 07 SP, France","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108393186","display_name":"Jacques Stern","orcid":null},"institutions":[{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"other","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]},{"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":["FR"],"is_corresponding":false,"raw_author_name":"Jacques Stern","raw_affiliation_strings":["D\u00e9partement d\u2019informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","D\u00e9partement d'informatique, \u00c9cole normale sup\u00e9rieure, Paris, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d\u2019informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210161954"]},{"raw_affiliation_string":"D\u00e9partement d'informatique, \u00c9cole normale sup\u00e9rieure, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I4210161954"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4536,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89512119,"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":"27","last_page":"43"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data 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/T10237","display_name":"Cryptography and Data 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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9973999857902527,"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":0.996399998664856,"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/discrete-logarithm","display_name":"Discrete logarithm","score":0.8790744543075562},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.76652991771698},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.7127147316932678},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.7122855186462402},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.637545108795166},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.6112722754478455},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.5911593437194824},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5411412715911865},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.5311903953552246},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.47412872314453125},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.43606942892074585},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.42349156737327576},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3519328832626343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3405526280403137},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3394886255264282},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.27415090799331665},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21343815326690674},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.18913966417312622},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.16669487953186035},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.10593017935752869}],"concepts":[{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.8790744543075562},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.76652991771698},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.7127147316932678},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.7122855186462402},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.637545108795166},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.6112722754478455},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.5911593437194824},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5411412715911865},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.5311903953552246},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.47412872314453125},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.43606942892074585},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.42349156737327576},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3519328832626343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3405526280403137},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3394886255264282},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.27415090799331665},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21343815326690674},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.18913966417312622},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.16669487953186035},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.10593017935752869},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","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":3,"locations":[{"id":"doi:10.1007/11745853_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11745853_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F11745853_3.pdf","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:CiteSeerX.psu:10.1.1.414.8629","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.414.8629","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iacr.org/cryptodb/archive/2006/PKC/3439/3439.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.77.6194","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.77.6194","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.di.ens.fr/~stern/data/St114.pdf","raw_type":"text"}],"best_oa_location":{"id":"doi:10.1007/11745853_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/11745853_3","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F11745853_3.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1603600847.pdf","grobid_xml":"https://content.openalex.org/works/W1603600847.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W172970726","https://openalex.org/W405534807","https://openalex.org/W1495253569","https://openalex.org/W1500077521","https://openalex.org/W1501670540","https://openalex.org/W1512460175","https://openalex.org/W1529925669","https://openalex.org/W1550910269","https://openalex.org/W1561877077","https://openalex.org/W1582538828","https://openalex.org/W1617851311","https://openalex.org/W1850675439","https://openalex.org/W1970606468","https://openalex.org/W1981455414","https://openalex.org/W2019816098","https://openalex.org/W2052667569","https://openalex.org/W2156186849","https://openalex.org/W2224364690","https://openalex.org/W2485957127","https://openalex.org/W2488547546","https://openalex.org/W2506201965","https://openalex.org/W2561675875","https://openalex.org/W2619633776","https://openalex.org/W4252937307","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2149634854","https://openalex.org/W4400642643","https://openalex.org/W4402530505","https://openalex.org/W2562305209","https://openalex.org/W3030245161","https://openalex.org/W2519290549","https://openalex.org/W2096571200","https://openalex.org/W4389777186","https://openalex.org/W2809883875","https://openalex.org/W2392770010"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-26T07:47:46.906454","created_date":"2025-10-10T00:00:00"}
