{"id":"https://openalex.org/W4310806686","doi":"https://doi.org/10.1007/978-3-031-22966-4_1","title":"A New Isogeny Representation and\u00a0Applications to\u00a0Cryptography","display_name":"A New Isogeny Representation and\u00a0Applications to\u00a0Cryptography","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4310806686","doi":"https://doi.org/10.1007/978-3-031-22966-4_1"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-22966-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22966-4_1","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/A5012789036","display_name":"Antonin Leroux","orcid":"https://orcid.org/0009-0002-3737-0075"},"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/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/I95583923","display_name":"Direction G\u00e9n\u00e9rale de l'Armement","ror":"https://ror.org/04wsqd844","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2799681489","https://openalex.org/I2802818602","https://openalex.org/I95583923"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Antonin Leroux","raw_affiliation_strings":["DGA, Paris, France","INRIA, Le Chesnay, France","LIX, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"DGA, Paris, France","institution_ids":["https://openalex.org/I95583923"]},{"raw_affiliation_string":"INRIA, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"LIX, CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, Palaiseau, France","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I142476485"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012789036"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I142476485","https://openalex.org/I95583923"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.0189,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95311625,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"35"},"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":0.9991000294685364,"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":0.9943000078201294,"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/isogeny","display_name":"Isogeny","score":0.9771227240562439},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6895152926445007},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.561190128326416},{"id":"https://openalex.org/keywords/endomorphism-ring","display_name":"Endomorphism ring","score":0.5318115949630737},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.49758389592170715},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.43718022108078003},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3545742630958557},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3146916627883911},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.2632017731666565},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2515344023704529},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2275412678718567},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21674856543540955},{"id":"https://openalex.org/keywords/law","display_name":"Law","score":0.09233391284942627}],"concepts":[{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.9771227240562439},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6895152926445007},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.561190128326416},{"id":"https://openalex.org/C2778153370","wikidata":"https://www.wikidata.org/wiki/Q2896709","display_name":"Endomorphism ring","level":3,"score":0.5318115949630737},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.49758389592170715},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.43718022108078003},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3545742630958557},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3146916627883911},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.2632017731666565},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2515344023704529},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2275412678718567},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21674856543540955},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.09233391284942627},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-22966-4_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22966-4_1","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"}],"best_oa_location":null,"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"}],"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":33,"referenced_works":["https://openalex.org/W43667552","https://openalex.org/W189254053","https://openalex.org/W1545876477","https://openalex.org/W2045890225","https://openalex.org/W2118409148","https://openalex.org/W2552090562","https://openalex.org/W2592544948","https://openalex.org/W2604763720","https://openalex.org/W2770869760","https://openalex.org/W2791851483","https://openalex.org/W2898759825","https://openalex.org/W2977567083","https://openalex.org/W2990498574","https://openalex.org/W2991397127","https://openalex.org/W3013492229","https://openalex.org/W3096403266","https://openalex.org/W3096999101","https://openalex.org/W3101994345","https://openalex.org/W3111514642","https://openalex.org/W3115412413","https://openalex.org/W3116788907","https://openalex.org/W3158277682","https://openalex.org/W3184403650","https://openalex.org/W3204458480","https://openalex.org/W4200380216","https://openalex.org/W4210767037","https://openalex.org/W4214724905","https://openalex.org/W4221132126","https://openalex.org/W4254894701","https://openalex.org/W4365810595","https://openalex.org/W4365934498","https://openalex.org/W4365935413","https://openalex.org/W4381432897"],"related_works":["https://openalex.org/W3088825423","https://openalex.org/W2950426221","https://openalex.org/W2018927995","https://openalex.org/W4297579227","https://openalex.org/W178989607","https://openalex.org/W69393089","https://openalex.org/W2922584942","https://openalex.org/W3028981215","https://openalex.org/W1972799566","https://openalex.org/W3031113229"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
