{"id":"https://openalex.org/W4313347176","doi":"https://doi.org/10.1007/978-3-031-22912-1_4","title":"Entropic Hardness of\u00a0Module-LWE from\u00a0Module-NTRU","display_name":"Entropic Hardness of\u00a0Module-LWE from\u00a0Module-NTRU","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4313347176","doi":"https://doi.org/10.1007/978-3-031-22912-1_4"},"language":"lt","primary_location":{"id":"doi:10.1007/978-3-031-22912-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22912-1_4","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/A5017987811","display_name":"Katharina Boudgoust","orcid":"https://orcid.org/0000-0002-3971-9368"},"institutions":[{"id":"https://openalex.org/I204337017","display_name":"Aarhus University","ror":"https://ror.org/01aj84f44","country_code":"DK","type":"education","lineage":["https://openalex.org/I204337017"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Katharina Boudgoust","raw_affiliation_strings":["Department Computer Science, Aarhus University, Aarhus, Denmark"],"affiliations":[{"raw_affiliation_string":"Department Computer Science, Aarhus University, Aarhus, Denmark","institution_ids":["https://openalex.org/I204337017"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053595304","display_name":"Corentin Jeudy","orcid":"https://orcid.org/0000-0003-2869-3833"},"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/I19370010","display_name":"Orange (France)","ror":"https://ror.org/035j0tq82","country_code":"FR","type":"company","lineage":["https://openalex.org/I19370010"]},{"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/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":true,"raw_author_name":"Corentin Jeudy","raw_affiliation_strings":["Orange Labs, Applied Crypto Group, Cesson-S\u00e9vign\u00e9, France","Univ Rennes, CNRS, IRISA, Rennes, France"],"affiliations":[{"raw_affiliation_string":"Orange Labs, Applied Crypto Group, Cesson-S\u00e9vign\u00e9, France","institution_ids":["https://openalex.org/I19370010"]},{"raw_affiliation_string":"Univ Rennes, CNRS, IRISA, Rennes, France","institution_ids":["https://openalex.org/I2802519937","https://openalex.org/I56067802","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089430087","display_name":"Adeline Roux-Langlois","orcid":"https://orcid.org/0000-0003-0617-9606"},"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/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adeline Roux-Langlois","raw_affiliation_strings":["Normandie Univ, UNICAEN, ENSICAEN, CNRS, GREYC, 14000, Caen, France"],"affiliations":[{"raw_affiliation_string":"Normandie Univ, UNICAEN, ENSICAEN, CNRS, GREYC, 14000, Caen, France","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I4210105918","https://openalex.org/I1294671590"]}]},{"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/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210165912","display_name":"Laboratoire Traitement et Communication de l\u2019Information","ror":"https://ror.org/057er4c39","country_code":"FR","type":"facility","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102","https://openalex.org/I4210165912"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Weiqiang Wen","raw_affiliation_strings":["LTCI, Telecom Paris, Institut Polytechnique de Paris, Paris, France"],"affiliations":[{"raw_affiliation_string":"LTCI, Telecom Paris, Institut Polytechnique de Paris, Paris, France","institution_ids":["https://openalex.org/I4210165912","https://openalex.org/I12356871","https://openalex.org/I4210145102"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053595304"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I19370010","https://openalex.org/I2802519937","https://openalex.org/I56067802"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.4001,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.91398628,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"78","last_page":"99"},"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/T11689","display_name":"Adversarial Robustness in Machine Learning","score":0.9800000190734863,"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":0.9769999980926514,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/ntru","display_name":"NTRU","score":0.7588393688201904},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6086117625236511},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5171941518783569},{"id":"https://openalex.org/keywords/learning-with-errors","display_name":"Learning with errors","score":0.49533262848854065},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3639270067214966},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.36091458797454834},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3475853502750397},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08527004718780518},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.06987312436103821}],"concepts":[{"id":"https://openalex.org/C122368425","wikidata":"https://www.wikidata.org/wiki/Q6955493","display_name":"NTRU","level":4,"score":0.7588393688201904},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6086117625236511},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5171941518783569},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.49533262848854065},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3639270067214966},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.36091458797454834},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3475853502750397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08527004718780518},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.06987312436103821},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/978-3-031-22912-1_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-22912-1_4","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-04028179v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04028179","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":"23rd International Conference on Cryptology, Kolkata, India : Progress in Cryptology \u2013 INDOCRYPT 2022, Dec 2022, Kolkata, India. pp.78 - 99, ⟨10.1007/978-3-031-22912-1_4⟩","raw_type":"Conference papers"},{"id":"pmh:oai:HAL:hal-04577014v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04577014","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":"Progress in Cryptology \u2013 INDOCRYPT 2022","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:pure.atira.dk:publications/0415a531-6087-4d82-a588-60a1f3b1713d","is_oa":false,"landing_page_url":"https://pure.au.dk/portal/en/publications/0415a531-6087-4d82-a588-60a1f3b1713d","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Boudgoust, K, Jeudy, C, Roux-Langlois, A & Wen, W 2023, Entropic Hardness of Module-LWE from Module-NTRU. in T Isobe & S Sarkar (eds), Progress in Cryptology \u2013 INDOCRYPT 2022 : 23rd International Conference on Cryptology in India, Kolkata, India, December 11\u201314, 2022, Proceedings. Springer, Cham, Lecture Notes in Computer Science, vol. 13774, pp. 78-99. https://doi.org/10.1007/978-3-031-22912-1_4","raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W34386251","https://openalex.org/W74973629","https://openalex.org/W1491861813","https://openalex.org/W1675339804","https://openalex.org/W1985439922","https://openalex.org/W1994790157","https://openalex.org/W2061949491","https://openalex.org/W2081131431","https://openalex.org/W2089477764","https://openalex.org/W2098290658","https://openalex.org/W2152926062","https://openalex.org/W2162826883","https://openalex.org/W2181114408","https://openalex.org/W2791664942","https://openalex.org/W2866028610","https://openalex.org/W2903348552","https://openalex.org/W3013760718","https://openalex.org/W3089736257","https://openalex.org/W3092193039","https://openalex.org/W3095103211","https://openalex.org/W3158568869","https://openalex.org/W3214801537","https://openalex.org/W4205765479","https://openalex.org/W4205873558","https://openalex.org/W4229941893","https://openalex.org/W4313347176"],"related_works":["https://openalex.org/W1936753088","https://openalex.org/W4387895128","https://openalex.org/W3140763611","https://openalex.org/W4385698618","https://openalex.org/W3204214465","https://openalex.org/W2913364296","https://openalex.org/W4226113624","https://openalex.org/W4320154905","https://openalex.org/W2550942574","https://openalex.org/W3198553286"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}