{"id":"https://openalex.org/W1579159926","doi":"https://doi.org/10.1007/11617983_3","title":"Cryptography Based on Bilinear Maps","display_name":"Cryptography Based on Bilinear Maps","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1579159926","doi":"https://doi.org/10.1007/11617983_3","mag":"1579159926"},"language":"en","primary_location":{"id":"doi:10.1007/11617983_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11617983_3","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/A5029108964","display_name":"Tatsuaki Okamoto","orcid":"https://orcid.org/0000-0001-7803-812X"},"institutions":[{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Tatsuaki Okamoto","raw_affiliation_strings":["NTT Laboratories, Nippon Telegraph and Telephone Corporation, 1-1 Hikarino-oka, Yokosuka, 239-0847, Japan"],"affiliations":[{"raw_affiliation_string":"NTT Laboratories, Nippon Telegraph and Telephone Corporation, 1-1 Hikarino-oka, Yokosuka, 239-0847, Japan","institution_ids":["https://openalex.org/I2251713219"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5029108964"],"corresponding_institution_ids":["https://openalex.org/I2251713219"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.7305,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.74424779,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"50"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9993000030517578,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9891999959945679,"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/random-oracle","display_name":"Random oracle","score":0.8126473426818848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7536007165908813},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.7460403442382812},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.726098358631134},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5464909076690674},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5457656979560852},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.4788822531700134},{"id":"https://openalex.org/keywords/bilinear-map","display_name":"Bilinear map","score":0.4568132162094116},{"id":"https://openalex.org/keywords/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.45491671562194824},{"id":"https://openalex.org/keywords/id-based-cryptography","display_name":"ID-based cryptography","score":0.42476218938827515},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.36702167987823486},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.3334991931915283},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3329658508300781},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.27447783946990967},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.17781323194503784},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11841127276420593},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.07923191785812378}],"concepts":[{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.8126473426818848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7536007165908813},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.7460403442382812},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.726098358631134},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5464909076690674},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5457656979560852},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.4788822531700134},{"id":"https://openalex.org/C142685569","wikidata":"https://www.wikidata.org/wiki/Q1086961","display_name":"Bilinear map","level":3,"score":0.4568132162094116},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.45491671562194824},{"id":"https://openalex.org/C19150895","wikidata":"https://www.wikidata.org/wiki/Q582616","display_name":"ID-based cryptography","level":5,"score":0.42476218938827515},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.36702167987823486},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.3334991931915283},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3329658508300781},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.27447783946990967},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.17781323194503784},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11841127276420593},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.07923191785812378},{"id":"https://openalex.org/C160333310","wikidata":"https://www.wikidata.org/wiki/Q6398153","display_name":"Key distribution","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11617983_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11617983_3","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1486107224","https://openalex.org/W1516512945","https://openalex.org/W1532836984","https://openalex.org/W1569083856","https://openalex.org/W1592092778","https://openalex.org/W1603068992","https://openalex.org/W1603546715","https://openalex.org/W1610688607","https://openalex.org/W1851031742","https://openalex.org/W1851253658","https://openalex.org/W1888254701","https://openalex.org/W1921672120","https://openalex.org/W1974232544","https://openalex.org/W1990220158","https://openalex.org/W2034313414","https://openalex.org/W2052267638","https://openalex.org/W2097638666","https://openalex.org/W2101803085","https://openalex.org/W2111310412","https://openalex.org/W2112876561","https://openalex.org/W2114296987","https://openalex.org/W2116881075","https://openalex.org/W2117685508","https://openalex.org/W2117797270","https://openalex.org/W2145255308","https://openalex.org/W2151413173","https://openalex.org/W2152521692","https://openalex.org/W2152924492","https://openalex.org/W2162653919","https://openalex.org/W2165111290","https://openalex.org/W2165297797","https://openalex.org/W2167882086","https://openalex.org/W2501738907","https://openalex.org/W3028820416","https://openalex.org/W3029468263","https://openalex.org/W3029595046","https://openalex.org/W3032554290","https://openalex.org/W3154896280","https://openalex.org/W4206109607","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2884501650","https://openalex.org/W2773396484","https://openalex.org/W2293021588","https://openalex.org/W2403445832","https://openalex.org/W1513652919","https://openalex.org/W1965775254","https://openalex.org/W2067047774","https://openalex.org/W2498996213","https://openalex.org/W2584799473","https://openalex.org/W1579159926"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}