{"id":"https://openalex.org/W4223514846","doi":"https://doi.org/10.1007/978-3-031-17433-9_22","title":"Co-factor Clearing and\u00a0Subgroup Membership Testing on\u00a0Pairing-Friendly Curves","display_name":"Co-factor Clearing and\u00a0Subgroup Membership Testing on\u00a0Pairing-Friendly Curves","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4223514846","doi":"https://doi.org/10.1007/978-3-031-17433-9_22"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-17433-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-17433-9_22","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":true,"oa_status":"green","oa_url":"https://hal.inria.fr/hal-03608264","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004547486","display_name":"Youssef El Housni","orcid":"https://orcid.org/0000-0003-2873-3479"},"institutions":[{"id":"https://openalex.org/I4210102518","display_name":"ConsenSys (United States)","ror":"https://ror.org/01a2p6r88","country_code":"US","type":"company","lineage":["https://openalex.org/I4210102518"]},{"id":"https://openalex.org/I4210126360","display_name":"Centre Inria de Saclay","ror":"https://ror.org/0315e5x55","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1326498283","https://openalex.org/I4210126360"]}],"countries":["FR","US"],"is_corresponding":true,"raw_author_name":"Youssef El Housni","raw_affiliation_strings":["ConsenSys R &D, Paris, France","Inria, Saclay, France","ConsenSys","Geometry, arithmetic, algorithms, codes and encryption"],"raw_orcid":"https://orcid.org/0000-0003-2873-3479","affiliations":[{"raw_affiliation_string":"ConsenSys R &D, Paris, France","institution_ids":[]},{"raw_affiliation_string":"Inria, Saclay, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"ConsenSys","institution_ids":["https://openalex.org/I4210102518"]},{"raw_affiliation_string":"Geometry, arithmetic, algorithms, codes and encryption","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039797547","display_name":"Aurore Guillevic","orcid":"https://orcid.org/0000-0002-0824-7273"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]},{"id":"https://openalex.org/I4210121838","display_name":"Laboratoire Lorrain de Recherche en Informatique et ses Applications","ror":"https://ror.org/02vnf0c38","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I277688954","https://openalex.org/I4210107720","https://openalex.org/I4210121838","https://openalex.org/I4210159245","https://openalex.org/I90183372"]},{"id":"https://openalex.org/I90183372","display_name":"Universit\u00e9 de Lorraine","ror":"https://ror.org/04vfs2w97","country_code":"FR","type":"education","lineage":["https://openalex.org/I90183372"]}],"countries":["AT","DK","FR"],"is_corresponding":false,"raw_author_name":"Aurore Guillevic","raw_affiliation_strings":["Aarhus University, Aarhus, Denmark","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","Aarhus University [Aarhus]","Cryptology, arithmetic : algebraic methods for better algorithms"],"raw_orcid":"https://orcid.org/0000-0002-0824-7273","affiliations":[{"raw_affiliation_string":"Aarhus University, Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France","institution_ids":["https://openalex.org/I90183372","https://openalex.org/I4210121838","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"Aarhus University [Aarhus]","institution_ids":["https://openalex.org/I204337017"]},{"raw_affiliation_string":"Cryptology, arithmetic : algebraic methods for better algorithms","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021414845","display_name":"Thomas Piellard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210102518","display_name":"ConsenSys (United States)","ror":"https://ror.org/01a2p6r88","country_code":"US","type":"company","lineage":["https://openalex.org/I4210102518"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Thomas Piellard","raw_affiliation_strings":["ConsenSys R &D, Paris, France","ConsenSys"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ConsenSys R &D, Paris, France","institution_ids":[]},{"raw_affiliation_string":"ConsenSys","institution_ids":["https://openalex.org/I4210102518"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5004547486"],"corresponding_institution_ids":["https://openalex.org/I4210102518","https://openalex.org/I4210126360"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.4144,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.94531306,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"518","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9984999895095825,"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":0.9984999895095825,"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/T10237","display_name":"Cryptography and Data Security","score":0.991599977016449,"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":0.982200026512146,"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/pairing","display_name":"Pairing","score":0.7531253099441528},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5925866961479187},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5630180835723877},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5367380976676941},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46590834856033325},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.45125070214271545},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41057974100112915},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.23740702867507935},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.22963419556617737}],"concepts":[{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.7531253099441528},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5925866961479187},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5630180835723877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5367380976676941},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46590834856033325},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.45125070214271545},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41057974100112915},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.23740702867507935},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.22963419556617737},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"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:10.1007/978-3-031-17433-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-17433-9_22","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-03608264v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03608264","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-03608264","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03608264v3","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03608264","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://africacrypt2022.cs.ru.nl/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03608264v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03608264","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://hal.inria.fr/hal-03608264","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.4300000071525574,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1534733761","https://openalex.org/W1553083934","https://openalex.org/W1587753163","https://openalex.org/W2021553056","https://openalex.org/W2098377074","https://openalex.org/W2968468115","https://openalex.org/W3037250204","https://openalex.org/W3042928484","https://openalex.org/W3202783968","https://openalex.org/W3204556716","https://openalex.org/W6931496356"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3015473028","https://openalex.org/W3201176751","https://openalex.org/W1993094293","https://openalex.org/W2029180842","https://openalex.org/W2024971119","https://openalex.org/W2057898405","https://openalex.org/W2953807518","https://openalex.org/W2258335979","https://openalex.org/W4319323581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-04-15T00:00:00"}