{"id":"https://openalex.org/W2989605743","doi":"https://doi.org/10.1007/978-3-030-34621-8_15","title":"Numerical Method for Comparison on Homomorphically Encrypted Numbers","display_name":"Numerical Method for Comparison on Homomorphically Encrypted Numbers","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2989605743","doi":"https://doi.org/10.1007/978-3-030-34621-8_15","mag":"2989605743"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-34621-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34621-8_15","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/A5044011121","display_name":"Jung Hee Cheon","orcid":"https://orcid.org/0000-0002-7085-2220"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Jung Hee Cheon","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100357238","display_name":"Dongwoo Kim","orcid":"https://orcid.org/0000-0001-5780-7110"},"institutions":[{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]},{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dongwoo Kim","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000116963","display_name":"Duhyeong Kim","orcid":"https://orcid.org/0000-0002-4766-3456"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Duhyeong Kim","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5082561914","display_name":"Hun Hee Lee","orcid":"https://orcid.org/0000-0003-2118-9300"},"institutions":[{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]},{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hun Hee Lee","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044922168","display_name":"Keewoo Lee","orcid":null},"institutions":[{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]},{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Keewoo Lee","raw_affiliation_strings":["Department of Mathematical Sciences, Seoul National University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432","https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5044011121"],"corresponding_institution_ids":["https://openalex.org/I139264467","https://openalex.org/I4210158432"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":13.7717,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.99176191,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"415","last_page":"445"},"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":0.9959999918937683,"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":0.9945999979972839,"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/encryption","display_name":"Encryption","score":0.6491299867630005},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5768613815307617},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.5487469434738159},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.540805459022522},{"id":"https://openalex.org/keywords/minimax","display_name":"Minimax","score":0.5394876599311829},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.48526641726493835},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4808293581008911},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45612847805023193},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45140349864959717},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.42986100912094116},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4133460223674774},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3728967308998108},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3727537989616394},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.14503079652786255}],"concepts":[{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.6491299867630005},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5768613815307617},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.5487469434738159},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.540805459022522},{"id":"https://openalex.org/C149728462","wikidata":"https://www.wikidata.org/wiki/Q751319","display_name":"Minimax","level":2,"score":0.5394876599311829},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48526641726493835},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4808293581008911},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45612847805023193},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45140349864959717},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.42986100912094116},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4133460223674774},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3728967308998108},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3727537989616394},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.14503079652786255},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-030-34621-8_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-34621-8_15","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":44,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W104209573","https://openalex.org/W584547061","https://openalex.org/W650132556","https://openalex.org/W774911181","https://openalex.org/W913176383","https://openalex.org/W1536392520","https://openalex.org/W1554747120","https://openalex.org/W1850468005","https://openalex.org/W2029776525","https://openalex.org/W2031533839","https://openalex.org/W2055580199","https://openalex.org/W2056232259","https://openalex.org/W2065451462","https://openalex.org/W2137591724","https://openalex.org/W2152926062","https://openalex.org/W2156030242","https://openalex.org/W2226167778","https://openalex.org/W2233194383","https://openalex.org/W2285574614","https://openalex.org/W2290980804","https://openalex.org/W2397066487","https://openalex.org/W2400700555","https://openalex.org/W2435473771","https://openalex.org/W2550721443","https://openalex.org/W2554750353","https://openalex.org/W2620783544","https://openalex.org/W2768174108","https://openalex.org/W2768505000","https://openalex.org/W2770953739","https://openalex.org/W2792798301","https://openalex.org/W2794888826","https://openalex.org/W2801958627","https://openalex.org/W2810818034","https://openalex.org/W2811248283","https://openalex.org/W2893368739","https://openalex.org/W2894537844","https://openalex.org/W2896938420","https://openalex.org/W2946972653","https://openalex.org/W2963269218","https://openalex.org/W3028867652","https://openalex.org/W4230445183","https://openalex.org/W4250612864","https://openalex.org/W6609295220"],"related_works":["https://openalex.org/W2539930818","https://openalex.org/W4403623784","https://openalex.org/W2016058626","https://openalex.org/W2474724840","https://openalex.org/W4393118461","https://openalex.org/W4390664647","https://openalex.org/W2963760573","https://openalex.org/W3012147850","https://openalex.org/W185788778","https://openalex.org/W4313300189"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":16},{"year":2024,"cited_by_count":25},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":21},{"year":2021,"cited_by_count":14},{"year":2020,"cited_by_count":15}],"updated_date":"2026-04-23T09:07:50.710637","created_date":"2025-10-10T00:00:00"}
