{"id":"https://openalex.org/W4389010954","doi":"https://doi.org/10.1007/978-3-031-48624-1_3","title":"Ideal-SVP is Hard for\u00a0Small-Norm Uniform Prime Ideals","display_name":"Ideal-SVP is Hard for\u00a0Small-Norm Uniform Prime Ideals","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4389010954","doi":"https://doi.org/10.1007/978-3-031-48624-1_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-48624-1_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-48624-1_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-48624-1_3.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-48624-1_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5088088196","display_name":"Jo\u00ebl Felderhoff","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/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"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jo\u00ebl Felderhoff","raw_affiliation_strings":["Inria Lyon, Lyon, France, ENS de Lyon and LIP, UMR 5668, Lyon, France","ARIC - Arithm\u00e9tiques des ordinateurs, m\u00e9thodes formelles, g\u00e9n\u00e9ration de code (46 All\u00e9e d'Italie 69364 Lyon France - France)","LIP - Laboratoire de l'Informatique du Parall\u00e9lisme (46 All\u00e9e d'Italie 69364 LYON CEDEX 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Inria Lyon, Lyon, France, ENS de Lyon and LIP, UMR 5668, Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"ARIC - Arithm\u00e9tiques des ordinateurs, m\u00e9thodes formelles, g\u00e9n\u00e9ration de code (46 All\u00e9e d'Italie 69364 Lyon France - France)","institution_ids":[]},{"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"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071675927","display_name":"Alice Pellet-Mary","orcid":"https://orcid.org/0000-0002-7149-1965"},"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/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":"Alice Pellet-Mary","raw_affiliation_strings":["Univ. Bordeaux, CNRS, Inria, Bordeaux INP, IMB, Talence, France","IMB - Institut de Math\u00e9matiques de Bordeaux (351 cours de la Lib\u00e9ration 33405 TALENCE CEDEX - France)","LFANT - Lithe and fast algorithmic number theory (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","CANARI - Analyse cryptographique et arithm\u00e9tique (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","CNRS - Centre National de la Recherche Scientifique (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Univ. Bordeaux, CNRS, Inria, Bordeaux INP, IMB, Talence, France","institution_ids":["https://openalex.org/I4210160189","https://openalex.org/I4210166017","https://openalex.org/I15057530","https://openalex.org/I1294671590"]},{"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":"LFANT - Lithe and fast algorithmic number theory (200, avenue de la Vieille Tour \r\n33405 Talence cedex - France)","institution_ids":[]},{"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":"CNRS - Centre National de la Recherche Scientifique (France)","institution_ids":["https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050316793","display_name":"Damien Stehl\u00e9","orcid":"https://orcid.org/0000-0003-3435-2453"},"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/I4210086502","display_name":"CryptoExperts (France)","ror":"https://ror.org/0030xrh72","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210086502"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Stehl\u00e9","raw_affiliation_strings":["ENS de Lyon and CryptoLab, Inc., Lyon, France","ARIC - Arithm\u00e9tiques des ordinateurs, m\u00e9thodes formelles, g\u00e9n\u00e9ration de code (46 All\u00e9e d'Italie 69364 Lyon France - France)","CryptoLab (France)","ENS de Lyon - \u00c9cole normale sup\u00e9rieure de Lyon (15 parvis Ren\u00e9 Descartes - BP 7000 - 69342 Lyon Cedex 07 - France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENS de Lyon and CryptoLab, Inc., Lyon, France","institution_ids":["https://openalex.org/I113428412"]},{"raw_affiliation_string":"ARIC - Arithm\u00e9tiques des ordinateurs, m\u00e9thodes formelles, g\u00e9n\u00e9ration de code (46 All\u00e9e d'Italie 69364 Lyon France - France)","institution_ids":[]},{"raw_affiliation_string":"CryptoLab (France)","institution_ids":["https://openalex.org/I4210086502"]},{"raw_affiliation_string":"ENS de Lyon - \u00c9cole normale sup\u00e9rieure de Lyon (15 parvis Ren\u00e9 Descartes - BP 7000 - 69342 Lyon Cedex 07 - France)","institution_ids":["https://openalex.org/I113428412"]}]},{"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)"],"raw_orcid":null,"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":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5088088196"],"corresponding_institution_ids":["https://openalex.org/I113428412","https://openalex.org/I4210144566"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.0768,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.89380047,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"63","last_page":"92"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9976999759674072,"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/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"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/computer-science","display_name":"Computer science","score":0.6543155908584595},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.6502323746681213},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5274629592895508},{"id":"https://openalex.org/keywords/norm","display_name":"Norm (philosophy)","score":0.5248967409133911},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38641631603240967},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24794438481330872},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.21576714515686035}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6543155908584595},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.6502323746681213},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5274629592895508},{"id":"https://openalex.org/C191795146","wikidata":"https://www.wikidata.org/wiki/Q3878446","display_name":"Norm (philosophy)","level":2,"score":0.5248967409133911},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38641631603240967},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24794438481330872},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.21576714515686035},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-031-48624-1_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-48624-1_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-48624-1_3.pdf","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-04326750v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04326750","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":"Theory of Cryptography, TCC 2023, Dec 2023, Taipei (Taiwan), Taiwan. pp.63-92, ⟨10.1007/978-3-031-48624-1_3⟩","raw_type":"Conference papers"},{"id":"pmh:oai:oskar-bordeaux.fr:20.500.12278/190370","is_oa":false,"landing_page_url":"https://oskar-bordeaux.fr/handle/20.500.12278/190370","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":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":"Lecture Notes in Computer Science","raw_type":"Communication dans un congr\u00e8s"}],"best_oa_location":{"id":"doi:10.1007/978-3-031-48624-1_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-3-031-48624-1_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-3-031-48624-1_3.pdf","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"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G516181419","display_name":"Cryptographic hardness of module lattices","funder_award_id":"ANR-21-CE94-0003","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"},{"id":"https://openalex.org/G5463327868","display_name":null,"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/G6612625481","display_name":null,"funder_award_id":"France 2030","funder_id":"https://openalex.org/F4320320883","funder_display_name":"Agence Nationale de la Recherche"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320883","display_name":"Agence Nationale de la Recherche","ror":"https://ror.org/00rbzpz17"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4389010954.pdf","grobid_xml":"https://content.openalex.org/works/W4389010954.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W1491861813","https://openalex.org/W1499237070","https://openalex.org/W1509320652","https://openalex.org/W1546634390","https://openalex.org/W2031533839","https://openalex.org/W2061949491","https://openalex.org/W2098290658","https://openalex.org/W2111416661","https://openalex.org/W2146633075","https://openalex.org/W2477092523","https://openalex.org/W2480523195","https://openalex.org/W2514005182","https://openalex.org/W2578134341","https://openalex.org/W2603065436","https://openalex.org/W2626019822","https://openalex.org/W2946791252","https://openalex.org/W3013541847","https://openalex.org/W3081065211","https://openalex.org/W3158888163","https://openalex.org/W3214801537","https://openalex.org/W4297266781","https://openalex.org/W4297415452"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W4313185199","https://openalex.org/W2731785143","https://openalex.org/W3198669146"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1}],"updated_date":"2026-05-01T08:36:08.643496","created_date":"2025-10-10T00:00:00"}