{"id":"https://openalex.org/W4389858247","doi":"https://doi.org/10.1007/978-981-99-8736-8_3","title":"Homomorphic Polynomial Evaluation Using Galois Structure and\u00a0Applications to\u00a0BFV Bootstrapping","display_name":"Homomorphic Polynomial Evaluation Using Galois Structure and\u00a0Applications to\u00a0BFV Bootstrapping","publication_year":2023,"publication_date":"2023-01-01","ids":{"openalex":"https://openalex.org/W4389858247","doi":"https://doi.org/10.1007/978-981-99-8736-8_3"},"language":"en","primary_location":{"id":"doi:10.1007/978-981-99-8736-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-981-99-8736-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-981-99-8736-8_3.pdf","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":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/978-981-99-8736-8_3.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5033618394","display_name":"Hiroki Okada","orcid":"https://orcid.org/0000-0002-5687-620X"},"institutions":[{"id":"https://openalex.org/I4210164495","display_name":"KDDI Research (Japan)","ror":"https://ror.org/05qsqt662","country_code":"JP","type":"company","lineage":["https://openalex.org/I4210164495"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroki Okada","raw_affiliation_strings":["KDDI Research, Fujimino, Japan"],"affiliations":[{"raw_affiliation_string":"KDDI Research, Fujimino, Japan","institution_ids":["https://openalex.org/I4210164495"]}]},{"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, London, UK"],"affiliations":[{"raw_affiliation_string":"Royal Holloway, University of London, London, UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093516349","display_name":"Simon Pohmann","orcid":null},"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":"Simon Pohmann","raw_affiliation_strings":["Royal Holloway, University of London, London, UK"],"affiliations":[{"raw_affiliation_string":"Royal Holloway, University of London, London, UK","institution_ids":["https://openalex.org/I184558857"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033618394"],"corresponding_institution_ids":["https://openalex.org/I4210164495"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.5318,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.98177975,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"69","last_page":"100"},"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":0.9983000159263611,"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"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9976000189781189,"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/ciphertext","display_name":"Ciphertext","score":0.7525442838668823},{"id":"https://openalex.org/keywords/bootstrapping","display_name":"Bootstrapping (finance)","score":0.6762481331825256},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.6730263233184814},{"id":"https://openalex.org/keywords/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.6376264095306396},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.612909197807312},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.5531700849533081},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5530433058738708},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.5379199981689453},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5350943803787231},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47069716453552246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.446077823638916},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39323166012763977},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.3631291091442108},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34012532234191895}],"concepts":[{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.7525442838668823},{"id":"https://openalex.org/C207609745","wikidata":"https://www.wikidata.org/wiki/Q4944086","display_name":"Bootstrapping (finance)","level":2,"score":0.6762481331825256},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.6730263233184814},{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.6376264095306396},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.612909197807312},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.5531700849533081},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5530433058738708},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.5379199981689453},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5350943803787231},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47069716453552246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.446077823638916},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39323166012763977},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.3631291091442108},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34012532234191895},{"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/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","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},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-981-99-8736-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-981-99-8736-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-981-99-8736-8_3.pdf","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":{"id":"doi:10.1007/978-981-99-8736-8_3","is_oa":true,"landing_page_url":"https://doi.org/10.1007/978-981-99-8736-8_3","pdf_url":"https://link.springer.com/content/pdf/10.1007/978-981-99-8736-8_3.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4389858247.pdf"},"referenced_works_count":37,"referenced_works":["https://openalex.org/W56544557","https://openalex.org/W150064776","https://openalex.org/W236632755","https://openalex.org/W913176383","https://openalex.org/W1494049356","https://openalex.org/W1755636270","https://openalex.org/W1825240531","https://openalex.org/W1966731635","https://openalex.org/W2061949491","https://openalex.org/W2111554860","https://openalex.org/W2176745559","https://openalex.org/W2226167778","https://openalex.org/W2400700555","https://openalex.org/W2554750353","https://openalex.org/W2768174108","https://openalex.org/W2794634409","https://openalex.org/W2794974431","https://openalex.org/W2903536544","https://openalex.org/W2942255051","https://openalex.org/W2942711826","https://openalex.org/W2944259260","https://openalex.org/W2950842792","https://openalex.org/W3006531732","https://openalex.org/W3094696138","https://openalex.org/W3120341667","https://openalex.org/W3169180249","https://openalex.org/W3173794758","https://openalex.org/W4285208040","https://openalex.org/W4285229953","https://openalex.org/W4285276028","https://openalex.org/W4293783355","https://openalex.org/W4307823890","https://openalex.org/W4360612366","https://openalex.org/W4365806556","https://openalex.org/W4365806600","https://openalex.org/W4365806969","https://openalex.org/W4365807255"],"related_works":["https://openalex.org/W2152926062","https://openalex.org/W2947510282","https://openalex.org/W2949607150","https://openalex.org/W2950312267","https://openalex.org/W2363701519","https://openalex.org/W3123945077","https://openalex.org/W2398715209","https://openalex.org/W2601739120","https://openalex.org/W3028898974","https://openalex.org/W3094696138"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":6}],"updated_date":"2026-03-11T06:11:40.159057","created_date":"2025-10-10T00:00:00"}