{"id":"https://openalex.org/W2794425121","doi":"https://doi.org/10.1007/978-3-319-76953-0_7","title":"High-Precision Arithmetic in\u00a0Homomorphic Encryption","display_name":"High-Precision Arithmetic in\u00a0Homomorphic Encryption","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2794425121","doi":"https://doi.org/10.1007/978-3-319-76953-0_7","mag":"2794425121"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-76953-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-76953-0_7","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/A5100353665","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0003-4457-6231"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hao Chen","raw_affiliation_strings":["Microsoft Research, Redmond, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012602812","display_name":"Kim Laine","orcid":"https://orcid.org/0000-0002-9087-5913"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Kim Laine","raw_affiliation_strings":["Microsoft Research, Redmond, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, USA","institution_ids":["https://openalex.org/I1290206253"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088094747","display_name":"Rachel Player","orcid":"https://orcid.org/0000-0001-7292-4702"},"institutions":[{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Rachel Player","raw_affiliation_strings":["Royal Holloway, University of London, Egham, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Royal Holloway, University of London, Egham, UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072684260","display_name":"Yuhou Xia","orcid":"https://orcid.org/0000-0003-3753-9440"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yuhou Xia","raw_affiliation_strings":["Princeton University, Princeton, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.2565,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.94016999,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"116","last_page":"136"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9941999912261963,"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":0.9912999868392944,"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/plaintext","display_name":"Plaintext","score":0.8107860088348389},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.797870934009552},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6424587368965149},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5380001068115234},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5361335873603821},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4852488040924072},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4597198963165283},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.4486249089241028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4449707865715027},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43192020058631897},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.41950860619544983},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.41756927967071533},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.415394127368927},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.35161954164505005},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3265276849269867}],"concepts":[{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.8107860088348389},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.797870934009552},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6424587368965149},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5380001068115234},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5361335873603821},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4852488040924072},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4597198963165283},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.4486249089241028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4449707865715027},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43192020058631897},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.41950860619544983},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.41756927967071533},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.415394127368927},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.35161954164505005},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3265276849269867},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-76953-0_7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-76953-0_7","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":40,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W87154849","https://openalex.org/W1019809662","https://openalex.org/W1025324060","https://openalex.org/W1494049356","https://openalex.org/W1675339804","https://openalex.org/W1966731635","https://openalex.org/W2007466965","https://openalex.org/W2031533839","https://openalex.org/W2071825329","https://openalex.org/W2077905990","https://openalex.org/W2106970188","https://openalex.org/W2152926062","https://openalex.org/W2164327070","https://openalex.org/W2233194383","https://openalex.org/W2293449522","https://openalex.org/W2295445672","https://openalex.org/W2397066487","https://openalex.org/W2400700555","https://openalex.org/W2401959250","https://openalex.org/W2435473771","https://openalex.org/W2460519802","https://openalex.org/W2482110222","https://openalex.org/W2516798095","https://openalex.org/W2519249189","https://openalex.org/W2554750353","https://openalex.org/W2571885312","https://openalex.org/W2593939958","https://openalex.org/W2594788331","https://openalex.org/W2610207592","https://openalex.org/W2621002008","https://openalex.org/W2768174108","https://openalex.org/W2768572961","https://openalex.org/W2770953739","https://openalex.org/W2794425121","https://openalex.org/W2886223758","https://openalex.org/W2916339578","https://openalex.org/W2949063868","https://openalex.org/W2949384924","https://openalex.org/W3028867652"],"related_works":["https://openalex.org/W3119182752","https://openalex.org/W2031533839","https://openalex.org/W2969350772","https://openalex.org/W2320757018","https://openalex.org/W2397196578","https://openalex.org/W2168541382","https://openalex.org/W3023042109","https://openalex.org/W2089468229","https://openalex.org/W2891359469","https://openalex.org/W2949374852"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
