{"id":"https://openalex.org/W1603256047","doi":"https://doi.org/10.1007/978-3-642-38348-9_1","title":"Candidate Multilinear Maps from Ideal Lattices","display_name":"Candidate Multilinear Maps from Ideal Lattices","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1603256047","doi":"https://doi.org/10.1007/978-3-642-38348-9_1","mag":"1603256047"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-38348-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38348-9_1","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":"conference-paper","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/A5009985076","display_name":"Sanjam Garg","orcid":"https://orcid.org/0000-0003-1330-0419"},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanjam Garg","raw_affiliation_strings":["UCLA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UCLA, USA","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044697595","display_name":"Craig Gentry","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Craig Gentry","raw_affiliation_strings":["IBM Research, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073301367","display_name":"Shai Halevi","orcid":"https://orcid.org/0000-0003-3432-7899"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shai Halevi","raw_affiliation_strings":["IBM Research, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM Research, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":747,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"17"},"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":0.9973999857902527,"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/T10304","display_name":"Geometric and Algebraic Topology","score":0.98580002784729,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/multilinear-map","display_name":"Multilinear map","score":0.9685587882995605},{"id":"https://openalex.org/keywords/ntru","display_name":"NTRU","score":0.8979795575141907},{"id":"https://openalex.org/keywords/ideal","display_name":"Ideal (ethics)","score":0.7413500547409058},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.658076822757721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.600739061832428},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5604147911071777},{"id":"https://openalex.org/keywords/discrete-logarithm","display_name":"Discrete logarithm","score":0.556602954864502},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3516187071800232},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3355783522129059},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3354509472846985},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3142077624797821},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.306431382894516},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2769799828529358},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.12121537327766418},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08716997504234314},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.06822547316551208},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06113240122795105}],"concepts":[{"id":"https://openalex.org/C84392682","wikidata":"https://www.wikidata.org/wiki/Q1952404","display_name":"Multilinear map","level":2,"score":0.9685587882995605},{"id":"https://openalex.org/C122368425","wikidata":"https://www.wikidata.org/wiki/Q6955493","display_name":"NTRU","level":4,"score":0.8979795575141907},{"id":"https://openalex.org/C2776639384","wikidata":"https://www.wikidata.org/wiki/Q840396","display_name":"Ideal (ethics)","level":2,"score":0.7413500547409058},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.658076822757721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.600739061832428},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5604147911071777},{"id":"https://openalex.org/C173259116","wikidata":"https://www.wikidata.org/wiki/Q864003","display_name":"Discrete logarithm","level":4,"score":0.556602954864502},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3516187071800232},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3355783522129059},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3354509472846985},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3142077624797821},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.306431382894516},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2769799828529358},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.12121537327766418},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08716997504234314},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.06822547316551208},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06113240122795105},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"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/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-38348-9_1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-38348-9_1","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":[{"id":"https://metadata.un.org/sdg/11","score":0.6700000166893005,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W36745501","https://openalex.org/W105728036","https://openalex.org/W120063373","https://openalex.org/W1483939190","https://openalex.org/W1489617931","https://openalex.org/W1497795032","https://openalex.org/W1532836984","https://openalex.org/W1541721626","https://openalex.org/W1563479433","https://openalex.org/W1564449568","https://openalex.org/W1596740612","https://openalex.org/W1601111578","https://openalex.org/W1603256047","https://openalex.org/W1675339804","https://openalex.org/W1793111075","https://openalex.org/W1833653714","https://openalex.org/W1886646278","https://openalex.org/W1893972099","https://openalex.org/W1901343628","https://openalex.org/W1994790157","https://openalex.org/W2008701790","https://openalex.org/W2061949491","https://openalex.org/W2085983185","https://openalex.org/W2086042811","https://openalex.org/W2135124252","https://openalex.org/W2152924492","https://openalex.org/W2161508639","https://openalex.org/W2395690345","https://openalex.org/W2397835572","https://openalex.org/W3028727372","https://openalex.org/W3154896280","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3206398586","https://openalex.org/W1603256047","https://openalex.org/W1555245969","https://openalex.org/W2321282558","https://openalex.org/W2299507895","https://openalex.org/W1900540279","https://openalex.org/W4300200155","https://openalex.org/W4300498183","https://openalex.org/W1544736259","https://openalex.org/W2012392278"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":25},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":27},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":35},{"year":2020,"cited_by_count":31},{"year":2019,"cited_by_count":56},{"year":2018,"cited_by_count":50},{"year":2017,"cited_by_count":82},{"year":2016,"cited_by_count":93},{"year":2015,"cited_by_count":157},{"year":2014,"cited_by_count":120},{"year":2013,"cited_by_count":43},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}