{"id":"https://openalex.org/W2964189663","doi":"https://doi.org/10.1007/978-3-319-76581-5_24","title":"Learning with Errors and Extrapolated Dihedral Cosets","display_name":"Learning with Errors and Extrapolated Dihedral Cosets","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2964189663","doi":"https://doi.org/10.1007/978-3-319-76581-5_24","mag":"2964189663"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-76581-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-76581-5_24","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/A5023852532","display_name":"Zvika Brakerski","orcid":"https://orcid.org/0000-0002-4867-7999"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Zvika Brakerski","raw_affiliation_strings":["Weizmann Institute of Science, Rehovot, Israel"],"affiliations":[{"raw_affiliation_string":"Weizmann Institute of Science, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056370663","display_name":"Elena Kirshanova","orcid":"https://orcid.org/0000-0001-8924-7605"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Elena Kirshanova","raw_affiliation_strings":["ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France"],"affiliations":[{"raw_affiliation_string":"ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I1294671590","https://openalex.org/I100532134"]}]},{"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/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"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":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Stehl\u00e9","raw_affiliation_strings":["ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France"],"affiliations":[{"raw_affiliation_string":"ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I1294671590","https://openalex.org/I100532134"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090845413","display_name":"Weiqiang Wen","orcid":"https://orcid.org/0000-0001-5272-2572"},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"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":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Weiqiang Wen","raw_affiliation_strings":["ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France"],"affiliations":[{"raw_affiliation_string":"ENS de Lyon and Laboratoire LIP (U. Lyon, CNRS, ENS de Lyon, INRIA, UCBL), Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I1294671590","https://openalex.org/I100532134"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5056370663"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.89698115,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"702","last_page":"727"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":1.0,"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":1.0,"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":0.9990000128746033,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9983000159263611,"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/learning-with-errors","display_name":"Learning with errors","score":0.7005389928817749},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.5911503434181213},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5209723114967346},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.516388475894928},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5136403441429138},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5045493841171265},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4517114758491516},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.428165465593338},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.414065420627594},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37612420320510864},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33186089992523193},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27916768193244934},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.14275717735290527},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10068365931510925},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08988913893699646}],"concepts":[{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.7005389928817749},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.5911503434181213},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5209723114967346},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.516388475894928},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5136403441429138},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5045493841171265},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4517114758491516},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.428165465593338},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.414065420627594},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37612420320510864},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33186089992523193},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27916768193244934},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.14275717735290527},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10068365931510925},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08988913893699646}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-76581-5_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-76581-5_24","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1490468194","https://openalex.org/W1491152510","https://openalex.org/W1491861813","https://openalex.org/W1598269861","https://openalex.org/W1624621931","https://openalex.org/W1761303171","https://openalex.org/W1972050218","https://openalex.org/W1992282993","https://openalex.org/W2001093624","https://openalex.org/W2001454482","https://openalex.org/W2007466965","https://openalex.org/W2008701790","https://openalex.org/W2033934891","https://openalex.org/W2038761522","https://openalex.org/W2057065544","https://openalex.org/W2058785578","https://openalex.org/W2061949491","https://openalex.org/W2089477764","https://openalex.org/W2090330739","https://openalex.org/W2111416661","https://openalex.org/W2114616381","https://openalex.org/W2135166688","https://openalex.org/W2140496956","https://openalex.org/W2141040012","https://openalex.org/W2151237818","https://openalex.org/W2161508639","https://openalex.org/W2171389569","https://openalex.org/W2171692676","https://openalex.org/W2315723423","https://openalex.org/W2569934227","https://openalex.org/W2766449869","https://openalex.org/W2962824714","https://openalex.org/W2964189663","https://openalex.org/W3101108974","https://openalex.org/W3101923878","https://openalex.org/W4205765479","https://openalex.org/W4297991408","https://openalex.org/W4299827018"],"related_works":["https://openalex.org/W1968270095","https://openalex.org/W2220129715","https://openalex.org/W4296478327","https://openalex.org/W2042397106","https://openalex.org/W2388953866","https://openalex.org/W4361730764","https://openalex.org/W1965029248","https://openalex.org/W2333625343","https://openalex.org/W1960072520","https://openalex.org/W1811717945"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
