{"id":"https://openalex.org/W1803405874","doi":"https://doi.org/10.1007/3-540-58691-1_42","title":"Schoof's algorithm and isogeny cycles","display_name":"Schoof's algorithm and isogeny cycles","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W1803405874","doi":"https://doi.org/10.1007/3-540-58691-1_42","mag":"1803405874"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-58691-1_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58691-1_42","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":"conference-paper","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/A5037909132","display_name":"Jean-Marc Couveignes","orcid":"https://orcid.org/0000-0002-6562-4688"},"institutions":[{"id":"https://openalex.org/I15057530","display_name":"Universit\u00e9 de Bordeaux","ror":"https://ror.org/057qpr032","country_code":"FR","type":"education","lineage":["https://openalex.org/I15057530"]},{"id":"https://openalex.org/I4210109518","display_name":"Groupe de Recherches et d'Echanges Technologiques","ror":"https://ror.org/017xb4c21","country_code":"FR","type":"nonprofit","lineage":["https://openalex.org/I4210109518"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Marc Couveignes","raw_affiliation_strings":["GRECC, D.M.I., E.N.S., 45 rue d'Ulm, F-75230, Paris Cedex 05, France","U. M. R. d'Algorithmique Arithm\u00e9tique, Universit\u00e9 de Bordeaux, 351 Cours de la Lib\u00e9ration, F-33400, Talence, France","UB - Universit\u00e9 de Bordeaux (35, place Pey Berland - 33076 Bordeaux - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GRECC, D.M.I., E.N.S., 45 rue d'Ulm, F-75230, Paris Cedex 05, France","institution_ids":["https://openalex.org/I4210109518"]},{"raw_affiliation_string":"U. M. R. d'Algorithmique Arithm\u00e9tique, Universit\u00e9 de Bordeaux, 351 Cours de la Lib\u00e9ration, F-33400, Talence, France","institution_ids":["https://openalex.org/I15057530"]},{"raw_affiliation_string":"UB - Universit\u00e9 de Bordeaux (35, place Pey Berland - 33076 Bordeaux - France)","institution_ids":["https://openalex.org/I15057530"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5050945933","display_name":"Fran\u00e7ois Morain","orcid":null},"institutions":[{"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"]},{"id":"https://openalex.org/I4210139461","display_name":"Laboratoire d'Informatique de l'\u00c9cole Polytechnique","ror":"https://ror.org/04afed728","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I4210139461","https://openalex.org/I4210145102","https://openalex.org/I4210159245"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fran\u00e7ois Morain","raw_affiliation_strings":["Laboratoire d'Informatique, \u00c9cole Polytechnique, F-91128, Palaiseau Cedex, France","GRACE - Geometry, arithmetic, algorithms, codes and encryption (Inria Saclay Ile-de-France - B\u00e2t. Alan Turing ; LIX - 2e \u00e9tage ; 1 rue Honor\u00e9 d'Estienne d'Orves ; Campus de l'\u00c9cole Polytechnique ; 91120 Palaiseau - France)","LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)","X - \u00c9cole polytechnique (\u00c9cole polytechnique, 91128 Palaiseau Cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratoire d'Informatique, \u00c9cole Polytechnique, F-91128, Palaiseau Cedex, France","institution_ids":["https://openalex.org/I4210139461"]},{"raw_affiliation_string":"GRACE - Geometry, arithmetic, algorithms, codes and encryption (Inria Saclay Ile-de-France - B\u00e2t. Alan Turing ; LIX - 2e \u00e9tage ; 1 rue Honor\u00e9 d'Estienne d'Orves ; Campus de l'\u00c9cole Polytechnique ; 91120 Palaiseau - France)","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210126360"]},{"raw_affiliation_string":"LIX - Laboratoire d'informatique de l'\u00c9cole polytechnique [Palaiseau] (Route de Saclay 91128 PALAISEAU CEDEX - France)","institution_ids":["https://openalex.org/I142476485","https://openalex.org/I4210139461"]},{"raw_affiliation_string":"X - \u00c9cole polytechnique (\u00c9cole polytechnique, 91128 Palaiseau Cedex - France)","institution_ids":["https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"43","last_page":"58"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.993399977684021,"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/T11130","display_name":"Coding theory and cryptography","score":0.993399977684021,"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":0.9883000254631042,"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":0.9810000061988831,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isogeny","display_name":"Isogeny","score":0.8989075422286987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7268152832984924},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5161076784133911},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15152794122695923},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09112498164176941},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.036663174629211426}],"concepts":[{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.8989075422286987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7268152832984924},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5161076784133911},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15152794122695923},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09112498164176941},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.036663174629211426}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-58691-1_42","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-58691-1_42","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-04526020v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04526020","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":"Algorithmic Number Theory Symposium, May 1994, Ithaca, United States. Lecture Notes in Computer Science, 877, Springer Berlin Heidelberg, pp.43-58, 1994, Lecture Notes in Computer Science, &#x27E8;10.1007/3-540-58691-1_42&#x27E9;","raw_type":"Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1970580817","https://openalex.org/W2037816851","https://openalex.org/W2055010170","https://openalex.org/W2067361453","https://openalex.org/W2075252632","https://openalex.org/W2086441423","https://openalex.org/W2402433754","https://openalex.org/W2728371637","https://openalex.org/W4242424230","https://openalex.org/W4254792708"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4302370234","https://openalex.org/W2949868757","https://openalex.org/W3165502361","https://openalex.org/W2951061117","https://openalex.org/W3137547215","https://openalex.org/W2069055256","https://openalex.org/W2957732868","https://openalex.org/W2918104289","https://openalex.org/W2150775827"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-27T08:26:11.824852","created_date":"2025-10-10T00:00:00"}
