{"id":"https://openalex.org/W4417137514","doi":"https://doi.org/10.1007/978-3-032-25327-9_22","title":"$$\\textsf{qt}$$-$$\\textsf{Pegasis}$$: Simpler and\u00a0Faster Effective Class Group Actions","display_name":"$$\\textsf{qt}$$-$$\\textsf{Pegasis}$$: Simpler and\u00a0Faster Effective Class Group Actions","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W4417137514","doi":"https://doi.org/10.1007/978-3-032-25327-9_22"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-25327-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-25327-9_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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030325678","display_name":"Pierrick Dartois","orcid":"https://orcid.org/0009-0008-2808-9867"},"institutions":[{"id":"https://openalex.org/I2802519937","display_name":"Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires","ror":"https://ror.org/00myn0z94","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I205703379","https://openalex.org/I2802204017","https://openalex.org/I2802519937","https://openalex.org/I28221208","https://openalex.org/I4210127572","https://openalex.org/I4210159245","https://openalex.org/I56067802"]},{"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"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pierrick Dartois","raw_affiliation_strings":["IRISA - Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires (Avenue du g\u00e9n\u00e9ral Leclerc\r\nCampus de Beaulieu \r\n35042 RENNES CEDEX - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","CAPSULE - Applied Cryptography and Implementation Security (Centre Inria de l'Universit\u00e9 de Rennes\r\nCampus de Beaulieu\r\n263 avenue du G\u00e9n\u00e9ral Leclerc\r\n35 042 Rennes Cedex - France)","CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IRISA - Institut de Recherche en Informatique et Syst\u00e8mes Al\u00e9atoires (Avenue du g\u00e9n\u00e9ral Leclerc\r\nCampus de Beaulieu \r\n35042 RENNES CEDEX - France)","institution_ids":["https://openalex.org/I2802519937"]},{"raw_affiliation_string":"IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","institution_ids":["https://openalex.org/I4210166017"]},{"raw_affiliation_string":"CAPSULE - Applied Cryptography and Implementation Security (Centre Inria de l'Universit\u00e9 de Rennes\r\nCampus de Beaulieu\r\n263 avenue du G\u00e9n\u00e9ral Leclerc\r\n35 042 Rennes Cedex - France)","institution_ids":["https://openalex.org/I56067802"]},{"raw_affiliation_string":"CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092685334","display_name":"Jonathan Komada Eriksen","orcid":"https://orcid.org/0009-0000-3040-2965"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jonathan Komada Eriksen","raw_affiliation_strings":["KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070611979","display_name":"Riccardo Invernizzi","orcid":"https://orcid.org/0000-0002-2271-6822"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Riccardo Invernizzi","raw_affiliation_strings":["KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032574536","display_name":"Fr\u00e9derik Vercauteren","orcid":"https://orcid.org/0000-0002-7208-9599"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Frederik Vercauteren","raw_affiliation_strings":["KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00878951,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"636","last_page":"665"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9824000000953674,"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":0.9824000000953674,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.005900000222027302,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.0031999999191612005,"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/ideal-class-group","display_name":"Ideal class group","score":0.7214000225067139},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6366000175476074},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5514000058174133},{"id":"https://openalex.org/keywords/quaternion","display_name":"Quaternion","score":0.5285999774932861},{"id":"https://openalex.org/keywords/supersingular-elliptic-curve","display_name":"Supersingular elliptic curve","score":0.4756999909877777},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.47440001368522644},{"id":"https://openalex.org/keywords/principal-ideal","display_name":"Principal ideal","score":0.4652999937534332},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.43950000405311584},{"id":"https://openalex.org/keywords/speedup","display_name":"Speedup","score":0.41769999265670776}],"concepts":[{"id":"https://openalex.org/C8367249","wikidata":"https://www.wikidata.org/wiki/Q912083","display_name":"Ideal class group","level":3,"score":0.7214000225067139},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6929000020027161},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6366000175476074},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5514000058174133},{"id":"https://openalex.org/C200127275","wikidata":"https://www.wikidata.org/wiki/Q173853","display_name":"Quaternion","level":2,"score":0.5285999774932861},{"id":"https://openalex.org/C157567686","wikidata":"https://www.wikidata.org/wiki/Q7644139","display_name":"Supersingular elliptic curve","level":3,"score":0.4756999909877777},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.47440001368522644},{"id":"https://openalex.org/C78766492","wikidata":"https://www.wikidata.org/wiki/Q44382","display_name":"Principal ideal","level":3,"score":0.4652999937534332},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.43950000405311584},{"id":"https://openalex.org/C68339613","wikidata":"https://www.wikidata.org/wiki/Q1549489","display_name":"Speedup","level":2,"score":0.41769999265670776},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.4023999869823456},{"id":"https://openalex.org/C95136341","wikidata":"https://www.wikidata.org/wiki/Q625519","display_name":"Quadratic field","level":4,"score":0.3912999927997589},{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.38690000772476196},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.36959999799728394},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36739999055862427},{"id":"https://openalex.org/C80695182","wikidata":"https://www.wikidata.org/wiki/Q864134","display_name":"Binary quadratic form","level":4,"score":0.34450000524520874},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3443000018596649},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.34049999713897705},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.33809998631477356},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3352000117301941},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.3305000066757202},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.32019999623298645},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.2800999879837036},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2799000144004822},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.27869999408721924},{"id":"https://openalex.org/C194909684","wikidata":"https://www.wikidata.org/wiki/Q1392559","display_name":"Iwasawa theory","level":3,"score":0.263700008392334}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-032-25327-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-25327-9_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-05404059v1","is_oa":false,"landing_page_url":"https://hal.science/hal-05404059","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":"Advances in cryptology - Eurocrypt 2026 - 45th Annual International Conference on the Theory and Applications of Cryptographic Techniques, May 2026, Rome, France. pp.636-665, ⟨10.1007/978-3-032-25327-9_22⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W4416557540","https://openalex.org/W4410134433","https://openalex.org/W4410134428","https://openalex.org/W4405269950","https://openalex.org/W3013492229","https://openalex.org/W2902932547","https://openalex.org/W2991397127","https://openalex.org/W4293045476","https://openalex.org/W3023347448","https://openalex.org/W4417093752","https://openalex.org/W2918362961","https://openalex.org/W2811492100","https://openalex.org/W4391011025","https://openalex.org/W3096403266","https://openalex.org/W4395700164","https://openalex.org/W4401008587","https://openalex.org/W4414495690","https://openalex.org/W4362476350","https://openalex.org/W3096999101","https://openalex.org/W4365935413","https://openalex.org/W3022851301","https://openalex.org/W4417093755","https://openalex.org/W2146323046","https://openalex.org/W2592544948","https://openalex.org/W2057065544","https://openalex.org/W4232584877","https://openalex.org/W4390899102","https://openalex.org/W4253587687","https://openalex.org/W3037762284","https://openalex.org/W4249824812","https://openalex.org/W3096704360","https://openalex.org/W4414869622","https://openalex.org/W2964369789","https://openalex.org/W1545876477"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-12-08T00:00:00"}