{"id":"https://openalex.org/W3202783968","doi":"https://doi.org/10.1007/978-3-031-07085-3_13","title":"Families of\u00a0SNARK-Friendly 2-Chains of\u00a0Elliptic Curves","display_name":"Families of\u00a0SNARK-Friendly 2-Chains of\u00a0Elliptic Curves","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W3202783968","doi":"https://doi.org/10.1007/978-3-031-07085-3_13","mag":"3202783968"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-07085-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-07085-3_13","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-03371573","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/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/I142476485","display_name":"\u00c9cole Polytechnique","ror":"https://ror.org/05hy3tk52","country_code":"FR","type":"education","lineage":["https://openalex.org/I142476485","https://openalex.org/I4210145102"]},{"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"],"is_corresponding":true,"raw_author_name":"Youssef El Housni","raw_affiliation_strings":["ConsenSys, gnark, Paris, France","Inria, Saclay, France","LIX, CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France"],"raw_orcid":"https://orcid.org/0000-0003-2873-3479","affiliations":[{"raw_affiliation_string":"ConsenSys, gnark, Paris, France","institution_ids":[]},{"raw_affiliation_string":"Inria, Saclay, France","institution_ids":["https://openalex.org/I4210126360"]},{"raw_affiliation_string":"LIX, CNRS, \u00c9cole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I1294671590"]}]},{"author_position":"last","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/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":["DK","FR"],"is_corresponding":true,"raw_author_name":"Aurore Guillevic","raw_affiliation_strings":["Aarhus University, Aarhus, Denmark","Universit\u00e9 de Lorraine, CNRS, Inria, LORIA, Nancy, France"],"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"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004547486","https://openalex.org/A5039797547"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485","https://openalex.org/I204337017","https://openalex.org/I4210121838","https://openalex.org/I4210126360","https://openalex.org/I90183372"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":15.1349,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.99380359,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"367","last_page":"396"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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":0.9994000196456909,"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":0.9988999962806702,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.942799985408783,"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/elliptic-curve","display_name":"Elliptic curve","score":0.7263695001602173},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.6296787858009338},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6007384061813354},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.49067509174346924},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4800068736076355},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4600832462310791},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4057207405567169},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.373941034078598},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3345497250556946},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.31364166736602783},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.269487202167511},{"id":"https://openalex.org/keywords/modular-elliptic-curve","display_name":"Modular elliptic curve","score":0.200087308883667},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19592079520225525},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1453535556793213}],"concepts":[{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.7263695001602173},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.6296787858009338},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6007384061813354},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.49067509174346924},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4800068736076355},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4600832462310791},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4057207405567169},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.373941034078598},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3345497250556946},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.31364166736602783},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.269487202167511},{"id":"https://openalex.org/C73683783","wikidata":"https://www.wikidata.org/wiki/Q2728886","display_name":"Modular elliptic curve","level":4,"score":0.200087308883667},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19592079520225525},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1453535556793213},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"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:10.1007/978-3-031-07085-3_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-07085-3_13","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-03371573v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03371573","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-03371573","raw_type":"info:eu-repo/semantics/preprint"},{"id":"pmh:oai:HAL:hal-03371573v2","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-03371573","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://eurocrypt.iacr.org/2022/","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03371573v1","is_oa":true,"landing_page_url":"https://hal.inria.fr/hal-03371573","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-03371573","raw_type":"info:eu-repo/semantics/preprint"},"sustainable_development_goals":[{"display_name":"Life in Land","id":"https://metadata.un.org/sdg/15","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1441821354","https://openalex.org/W1534733761","https://openalex.org/W1584385726","https://openalex.org/W1761314766","https://openalex.org/W1836725053","https://openalex.org/W1846967348","https://openalex.org/W1909324101","https://openalex.org/W2021553056","https://openalex.org/W2028982966","https://openalex.org/W2067596507","https://openalex.org/W2097493047","https://openalex.org/W2098377074","https://openalex.org/W2114609370","https://openalex.org/W2127195783","https://openalex.org/W2144238522","https://openalex.org/W2166670067","https://openalex.org/W2293021588","https://openalex.org/W2296489817","https://openalex.org/W2406585997","https://openalex.org/W2496543269","https://openalex.org/W2529173666","https://openalex.org/W2790485266","https://openalex.org/W2947480871","https://openalex.org/W2968468115","https://openalex.org/W2980673735","https://openalex.org/W2982474429","https://openalex.org/W2994293923","https://openalex.org/W3015292646","https://openalex.org/W3021066046","https://openalex.org/W3202783968","https://openalex.org/W3216932868","https://openalex.org/W4292027090","https://openalex.org/W6893975677"],"related_works":["https://openalex.org/W4319323581","https://openalex.org/W1904757850","https://openalex.org/W2462926133","https://openalex.org/W2090515343","https://openalex.org/W4248011490","https://openalex.org/W2336533864","https://openalex.org/W2619303527","https://openalex.org/W3211097549","https://openalex.org/W3151023420","https://openalex.org/W2597871887"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
