{"id":"https://openalex.org/W4414495690","doi":"https://doi.org/10.1007/978-3-032-01855-7_3","title":"PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies","display_name":"PEGASIS: Practical Effective Class Group Action using 4-Dimensional Isogenies","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W4414495690","doi":"https://doi.org/10.1007/978-3-032-01855-7_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-032-01855-7_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-01855-7_3","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":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/253771","any_repository_has_fulltext":true},"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/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":"Pierrick Dartois","raw_affiliation_strings":["INRIA, IMB, UMR 5251, 33400, Talence, France","University of Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France","CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"University of Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]},{"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"]}]},{"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 Leuven, COSIC, Heverlee, Belgium","KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)"],"affiliations":[{"raw_affiliation_string":"KU Leuven, COSIC, Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"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/A5049737057","display_name":"Tako Boris Fouotsa","orcid":"https://orcid.org/0000-0003-1821-8406"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Tako Boris Fouotsa","raw_affiliation_strings":["EPFL, LASEC, Lausanne, Switzerland","EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland - Switzerland)"],"affiliations":[{"raw_affiliation_string":"EPFL, LASEC, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]},{"raw_affiliation_string":"EPFL - Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne (CH-1015 Lausanne, Switzerland - Switzerland)","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5092912951","display_name":"Arthur Herl\u00e9dan Le Merdy","orcid":null},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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/I4210144566","display_name":"Laboratoire de l'Informatique du Parall\u00e9lisme","ror":"https://ror.org/04msnz457","country_code":"FR","type":"facility","lineage":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I203339264","https://openalex.org/I203339264","https://openalex.org/I4210144566"]},{"id":"https://openalex.org/I4210160577","display_name":"Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es","ror":"https://ror.org/05n21n105","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210160577"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Arthur Herl\u00e9dan Le Merdy","raw_affiliation_strings":["ENS de Lyon, CNRS, UMPA, UMR 5669, Lyon, France","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)"],"affiliations":[{"raw_affiliation_string":"ENS de Lyon, CNRS, UMPA, UMR 5669, Lyon, France","institution_ids":["https://openalex.org/I4210160577","https://openalex.org/I113428412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)","institution_ids":["https://openalex.org/I4210144566","https://openalex.org/I113428412"]},{"raw_affiliation_string":"UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)","institution_ids":["https://openalex.org/I4210160577"]}]},{"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 Leuven, COSIC, Heverlee, Belgium","KU-ESAT-COSIC - Computer Security and Industrial Cryptography [KU Leuven] (Departement Elektrotechniek (ESAT) Kasteelpark Arenberg 10 B-3001 Leuven-Heverlee - Belgium)"],"affiliations":[{"raw_affiliation_string":"KU Leuven, COSIC, Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"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/A5106484741","display_name":"Damien Robert","orcid":"https://orcid.org/0000-0003-4378-4274"},"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":false,"raw_author_name":"Damien Robert","raw_affiliation_strings":["INRIA, IMB, UMR 5251, 33400, Talence, France","University of Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France","CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","Centre Inria de l'Universit\u00e9 de Bordeaux (200, avenue de la Vieille Tour, \r\n33405 Talence - France)","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)"],"affiliations":[{"raw_affiliation_string":"INRIA, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I1326498283"]},{"raw_affiliation_string":"University of Bordeaux, CNRS, Bordeaux INP, IMB, UMR 5251, 33400, Talence, France","institution_ids":["https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I4210160189","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]},{"raw_affiliation_string":"Centre Inria de l'Universit\u00e9 de Bordeaux (200, avenue de la Vieille Tour, \r\n33405 Talence - France)","institution_ids":["https://openalex.org/I15057530"]},{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5119725688","display_name":"Ryan Rueger","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]},{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["CH","DE"],"is_corresponding":false,"raw_author_name":"Ryan Rueger","raw_affiliation_strings":["IBM Research Europe, Zurich, Switzerland","Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","TUM - Technische Universit\u00e4t Munchen - Technical University Munich - Universit\u00e9 Technique de Munich (Arcisstrasse 21, D- 80333 M\u00fcnchen - Germany)","IBM Research [Zurich] (Switzerland)"],"affiliations":[{"raw_affiliation_string":"IBM Research Europe, Zurich, Switzerland","institution_ids":["https://openalex.org/I4210126328"]},{"raw_affiliation_string":"Technische Universit\u00e4t M\u00fcnchen, Munich, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"TUM - Technische Universit\u00e4t Munchen - Technical University Munich - Universit\u00e9 Technique de Munich (Arcisstrasse 21, D- 80333 M\u00fcnchen - Germany)","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"IBM Research [Zurich] (Switzerland)","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","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 Leuven, COSIC, Heverlee, Belgium","ESAT - Department of Electrical Engineering [Leuven] (Kasteelpark Arenberg 10 B-3001 Leuven - Belgium)"],"affiliations":[{"raw_affiliation_string":"KU Leuven, COSIC, Heverlee, Belgium","institution_ids":["https://openalex.org/I99464096"]},{"raw_affiliation_string":"ESAT - Department of Electrical Engineering [Leuven] (Kasteelpark Arenberg 10 B-3001 Leuven - Belgium)","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071198706","display_name":"Benjamin Wesolowski","orcid":"https://orcid.org/0000-0003-1249-6077"},"institutions":[{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"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/I4210160577","display_name":"Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es","ror":"https://ror.org/05n21n105","country_code":"FR","type":"facility","lineage":["https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I203339264","https://openalex.org/I4210160577"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Benjamin Wesolowski","raw_affiliation_strings":["ENS de Lyon, CNRS, UMPA, UMR 5669, Lyon, France","UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)"],"affiliations":[{"raw_affiliation_string":"ENS de Lyon, CNRS, UMPA, UMR 5669, Lyon, France","institution_ids":["https://openalex.org/I4210160577","https://openalex.org/I113428412","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"UMPA-ENSL - Unit\u00e9 de Math\u00e9matiques Pures et Appliqu\u00e9es (France)","institution_ids":["https://openalex.org/I4210160577"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":9,"corresponding_author_ids":["https://openalex.org/A5030325678"],"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":126.551,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.99963383,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"67","last_page":"99"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13435","display_name":"Animal and Plant Science Education","score":0.3921999931335449,"subfield":{"id":"https://openalex.org/subfields/3207","display_name":"Social Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13435","display_name":"Animal and Plant Science Education","score":0.3921999931335449,"subfield":{"id":"https://openalex.org/subfields/3207","display_name":"Social Psychology"},"field":{"id":"https://openalex.org/fields/32","display_name":"Psychology"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10702","display_name":"Insect and Arachnid Ecology and Behavior","score":0.3671000003814697,"subfield":{"id":"https://openalex.org/subfields/1311","display_name":"Genetics"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5835999846458435},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5656999945640564},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5356000065803528},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.46549999713897705},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.45829999446868896},{"id":"https://openalex.org/keywords/isogeny","display_name":"Isogeny","score":0.4404999911785126},{"id":"https://openalex.org/keywords/action","display_name":"Action (physics)","score":0.42309999465942383},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.3935999870300293},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.3734000027179718}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6762999892234802},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5656999945640564},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5356000065803528},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.492000013589859},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.46549999713897705},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.45829999446868896},{"id":"https://openalex.org/C2779765290","wikidata":"https://www.wikidata.org/wiki/Q1674414","display_name":"Isogeny","level":3,"score":0.4404999911785126},{"id":"https://openalex.org/C2780791683","wikidata":"https://www.wikidata.org/wiki/Q846785","display_name":"Action (physics)","level":2,"score":0.42309999465942383},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.3935999870300293},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.3734000027179718},{"id":"https://openalex.org/C131715654","wikidata":"https://www.wikidata.org/wiki/Q288465","display_name":"Group action","level":3,"score":0.37040001153945923},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.3562000095844269},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.3553999960422516},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.33709999918937683},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.3352000117301941},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.32659998536109924},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3179999887943268},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31459999084472656},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.31139999628067017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3093000054359436},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.30300000309944153},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.2727000117301941},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.2635999917984009},{"id":"https://openalex.org/C16345878","wikidata":"https://www.wikidata.org/wiki/Q107472979","display_name":"Orientation (vector space)","level":2,"score":0.2581000030040741},{"id":"https://openalex.org/C33840335","wikidata":"https://www.wikidata.org/wiki/Q220409","display_name":"Braid group","level":2,"score":0.2565999925136566},{"id":"https://openalex.org/C2777404646","wikidata":"https://www.wikidata.org/wiki/Q1057968","display_name":"Finite group","level":3,"score":0.2513999938964844}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1007/978-3-032-01855-7_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-032-01855-7_3","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:pure.atira.dk:openaire_cris_publications/81f27853-696d-4be7-a4b0-444ab3bb2514","is_oa":false,"landing_page_url":"https://research.manchester.ac.uk/en/publications/81f27853-696d-4be7-a4b0-444ab3bb2514","pdf_url":null,"source":{"id":"https://openalex.org/S4306400662","display_name":"Research Explorer (The University of Manchester)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I28407311","host_organization_name":"University of Manchester","host_organization_lineage":["https://openalex.org/I28407311"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Dartois, P, Eriksen, J K, Fouotsa, T B, Herl\u00e9dan Le Merdy, A, Invernizzi, R, Robert, D, Rueger, R, Vercauteren, F & Wesolowski, B 2025, PEGASIS : Practical Effective Class Group Action using 4-Dimensional Isogenies. in Y T Kalai & S F Kamara (eds), Advances in Cryptology \u2013 CRYPTO 2025 : 45th Annual International Cryptology Conference, Santa Barbara, CA, USA, August 17\u201321, 2025, Proceedings, Part I. Lecture Notes in Computer Science, vol. 16000, Springer Cham, Cham, pp. 67-99, 45th Annual International Cryptology Conference, CRYPTO 2025, Santa Barbara, United States, 17/08/25. https://doi.org/10.1007/978-3-032-01855-7_3","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:HAL:hal-04987747v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04987747","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"CRYPTO 2025, Aug 2025, Santa Barbara, United States. pp.67-99, &#x27E8;10.1007/978-3-032-01855-7_3&#x27E9;","raw_type":"Conference papers"},{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/253771","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/253771","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},{"id":"pmh:oai:lirias2repo.kuleuven.be:20.500.12942/777580","is_oa":false,"landing_page_url":"https://lirias.kuleuven.be/handle/20.500.12942/777580","pdf_url":null,"source":{"id":"https://openalex.org/S4306401954","display_name":"Lirias (KU Leuven)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I99464096","host_organization_name":"KU Leuven","host_organization_lineage":["https://openalex.org/I99464096"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"45th International Cryptology Conference-CRYPTO-Annual, CA, Santa Barbara, 17-21 August 2025","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:20.500.14299/253771","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/253771","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference proceedings"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1534388293","https://openalex.org/W1545876477","https://openalex.org/W1646354800","https://openalex.org/W1867048327","https://openalex.org/W2022848027","https://openalex.org/W2057065544","https://openalex.org/W2133432179","https://openalex.org/W2146323046","https://openalex.org/W2156186849","https://openalex.org/W2168676717","https://openalex.org/W2592544948","https://openalex.org/W2811492100","https://openalex.org/W2898759825","https://openalex.org/W2912577494","https://openalex.org/W2918362961","https://openalex.org/W2934305357","https://openalex.org/W2964369789","https://openalex.org/W2991397127","https://openalex.org/W3023347448","https://openalex.org/W3037762284","https://openalex.org/W3048707933","https://openalex.org/W3088050895","https://openalex.org/W3096704360","https://openalex.org/W3096999101","https://openalex.org/W4240694056","https://openalex.org/W4253587687","https://openalex.org/W4312416093","https://openalex.org/W4317928193","https://openalex.org/W4362476350","https://openalex.org/W4365810595","https://openalex.org/W4390866293","https://openalex.org/W4390899102","https://openalex.org/W4391011025","https://openalex.org/W4395093894","https://openalex.org/W4401008587","https://openalex.org/W4401655821","https://openalex.org/W4405269950","https://openalex.org/W4405269970","https://openalex.org/W4405270300","https://openalex.org/W4412912410","https://openalex.org/W4414495690"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":8}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
