{"id":"https://openalex.org/W4285195271","doi":"https://doi.org/10.1007/978-3-031-07082-2_13","title":"Orientations and\u00a0the\u00a0Supersingular Endomorphism Ring Problem","display_name":"Orientations and\u00a0the\u00a0Supersingular Endomorphism Ring Problem","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285195271","doi":"https://doi.org/10.1007/978-3-031-07082-2_13"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-07082-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-07082-2_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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03799393","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5071198706","display_name":"Benjamin Wesolowski","orcid":"https://orcid.org/0000-0003-1249-6077"},"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/I1326498283","display_name":"Institut national de recherche en sciences et technologies du num\u00e9rique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"government","lineage":["https://openalex.org/I1326498283"]},{"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/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4210166017","display_name":"Institut de Math\u00e9matiques de Bordeaux","ror":"https://ror.org/05m3r1b84","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210141950","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Benjamin Wesolowski","raw_affiliation_strings":["INRIA, IMB, UMR 5251, 33400, Talence, France","Univ. Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France"],"raw_orcid":"https://orcid.org/0000-0003-1249-6077","affiliations":[{"raw_affiliation_string":"INRIA, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I1326498283","https://openalex.org/I4210166017"]},{"raw_affiliation_string":"Univ. Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I4210166017"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5071198706"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I4210166017"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.7738,"has_fulltext":false,"cited_by_count":35,"citation_normalized_percentile":{"value":0.9812385,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"345","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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/T11130","display_name":"Coding theory and cryptography","score":0.9977999925613403,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/endomorphism","display_name":"Endomorphism","score":0.8572483062744141},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.7800608277320862},{"id":"https://openalex.org/keywords/endomorphism-ring","display_name":"Endomorphism ring","score":0.7267156839370728},{"id":"https://openalex.org/keywords/isogeny","display_name":"Isogeny","score":0.721697211265564},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.6890299916267395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6602603197097778},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5315261483192444},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5159805417060852},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.49913883209228516},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4820881187915802},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47249117493629456},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4566383361816406},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3317357301712036},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3308449983596802},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23326992988586426},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16760361194610596},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07662808895111084}],"concepts":[{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.8572483062744141},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.7800608277320862},{"id":"https://openalex.org/C2778153370","wikidata":"https://www.wikidata.org/wiki/Q2896709","display_name":"Endomorphism ring","level":3,"score":0.7267156839370728},{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.721697211265564},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.6890299916267395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6602603197097778},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5315261483192444},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5159805417060852},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.49913883209228516},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4820881187915802},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47249117493629456},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4566383361816406},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3317357301712036},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3308449983596802},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23326992988586426},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16760361194610596},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07662808895111084},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-07082-2_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-07082-2_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-03799393v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03799393","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":"Advances in Cryptology -- Eurocrypt 2022, May 2022, Trondheim, Norway. pp.345-371, &#x27E8;10.1007/978-3-031-07082-2_13&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/191052","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/191052","pdf_url":null,"source":{"id":"https://openalex.org/S4306402569","display_name":"Oskar-Bordeaux (Universite de Bordeaux)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15057530","host_organization_name":"Universit\u00e9 de Bordeaux","host_organization_lineage":["https://openalex.org/I15057530"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Cryptology \u2013 EUROCRYPT 2022","raw_type":"Communication dans un congr\u00e8s"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03799393v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03799393","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":"Advances in Cryptology -- Eurocrypt 2022, May 2022, Trondheim, Norway. pp.345-371, &#x27E8;10.1007/978-3-031-07082-2_13&#x27E9;","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2895046585","display_name":"Cryptography, Isogenies and Abelian varieties Overwhelming","funder_award_id":"ANR-19-CE48-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5463327868","display_name":"Post-quantum padlock for web browser","funder_award_id":"ANR-22-PETQ-0008","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G6528455628","display_name":"Methods for Low Dimensional Abelian Varieties","funder_award_id":"ANR-20-CE40-0013","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W43667552","https://openalex.org/W1486898453","https://openalex.org/W1506914504","https://openalex.org/W1550418688","https://openalex.org/W1999539170","https://openalex.org/W2000932900","https://openalex.org/W2011809718","https://openalex.org/W2045890225","https://openalex.org/W2057065544","https://openalex.org/W2205392500","https://openalex.org/W2552090562","https://openalex.org/W2592544948","https://openalex.org/W2769794532","https://openalex.org/W2770869760","https://openalex.org/W2791851483","https://openalex.org/W2811492100","https://openalex.org/W2918362961","https://openalex.org/W2953643502","https://openalex.org/W2991397127","https://openalex.org/W3023478445","https://openalex.org/W3096403266","https://openalex.org/W3096704360","https://openalex.org/W3101994345","https://openalex.org/W3115412413","https://openalex.org/W3116436840","https://openalex.org/W3116788907","https://openalex.org/W4200380216","https://openalex.org/W4221132126","https://openalex.org/W4250253042","https://openalex.org/W4250641627","https://openalex.org/W6605056232","https://openalex.org/W6800574903"],"related_works":["https://openalex.org/W4287812768","https://openalex.org/W3017596884","https://openalex.org/W43667552","https://openalex.org/W2018927995","https://openalex.org/W3031661895","https://openalex.org/W2953643502","https://openalex.org/W2951316489","https://openalex.org/W2797140685","https://openalex.org/W2950825840","https://openalex.org/W4286859939"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":3}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}
