{"id":"https://openalex.org/W2146909489","doi":"https://doi.org/10.1007/978-3-540-27800-9_32","title":"Secure Bilinear Diffie-Hellman Bits","display_name":"Secure Bilinear Diffie-Hellman Bits","publication_year":2004,"publication_date":"2004-01-01","ids":{"openalex":"https://openalex.org/W2146909489","doi":"https://doi.org/10.1007/978-3-540-27800-9_32","mag":"2146909489"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-27800-9_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27800-9_32","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":true,"oa_status":"green","oa_url":"https://hdl.handle.net/2292/26662","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5037105570","display_name":"Steven D. Galbraith\u22c6","orcid":"https://orcid.org/0000-0001-7114-8377"},"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":true,"raw_author_name":"Steven D. Galbraith","raw_affiliation_strings":["Mathematics Department, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004055964","display_name":"Herbie J. Hopkins","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":"Herbie J. Hopkins","raw_affiliation_strings":["Mathematics Department, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Royal Holloway University of London, Egham, Surrey, TW20 0EX, UK","institution_ids":["https://openalex.org/I184558857"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030033231","display_name":"Igor E. Shparlinski","orcid":"https://orcid.org/0000-0002-5246-9391"},"institutions":[{"id":"https://openalex.org/I99043593","display_name":"Macquarie University","ror":"https://ror.org/01sf06y89","country_code":"AU","type":"education","lineage":["https://openalex.org/I99043593"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Igor E. Shparlinski","raw_affiliation_strings":["Department of Computing, Macquarie University, Sydney, NSW 2109, Australia"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Macquarie University, Sydney, NSW 2109, Australia","institution_ids":["https://openalex.org/I99043593"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5037105570"],"corresponding_institution_ids":["https://openalex.org/I184558857"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.6831,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.72719111,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"370","last_page":"378"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998000264167786,"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":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/computer-science","display_name":"Computer science","score":0.7656985521316528},{"id":"https://openalex.org/keywords/diffie\u2013hellman-key-exchange","display_name":"Diffie\u2013Hellman key exchange","score":0.6554966568946838},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6420518755912781},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3865126371383667},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.34884852170944214},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3288438320159912},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.24173632264137268},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.15586432814598083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1478549838066101},{"id":"https://openalex.org/keywords/key-exchange","display_name":"Key exchange","score":0.10902243852615356},{"id":"https://openalex.org/keywords/computer-vision","display_name":"Computer vision","score":0.04205617308616638}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7656985521316528},{"id":"https://openalex.org/C29524669","wikidata":"https://www.wikidata.org/wiki/Q623447","display_name":"Diffie\u2013Hellman key exchange","level":5,"score":0.6554966568946838},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6420518755912781},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3865126371383667},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.34884852170944214},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3288438320159912},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.24173632264137268},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.15586432814598083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1478549838066101},{"id":"https://openalex.org/C99674996","wikidata":"https://www.wikidata.org/wiki/Q1414155","display_name":"Key exchange","level":4,"score":0.10902243852615356},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.04205617308616638}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-27800-9_32","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-27800-9_32","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"},{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/26662","is_oa":true,"landing_page_url":"https://hdl.handle.net/2292/26662","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Item"}],"best_oa_location":{"id":"pmh:oai:researchspace.auckland.ac.nz:2292/26662","is_oa":true,"landing_page_url":"https://hdl.handle.net/2292/26662","pdf_url":null,"source":{"id":"https://openalex.org/S7407055463","display_name":"ResearchSpace (University of Auckland)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I154130895","host_organization_name":"University of Auckland","host_organization_lineage":["https://openalex.org/I154130895"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference Item"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W15182858","https://openalex.org/W1490511862","https://openalex.org/W1491262044","https://openalex.org/W1532836984","https://openalex.org/W1534733761","https://openalex.org/W1543409362","https://openalex.org/W1546891011","https://openalex.org/W1580599221","https://openalex.org/W1583362816","https://openalex.org/W1598857119","https://openalex.org/W1602477339","https://openalex.org/W1608356921","https://openalex.org/W1838876034","https://openalex.org/W1899845837","https://openalex.org/W1969351387","https://openalex.org/W2044209395","https://openalex.org/W2086042811","https://openalex.org/W2094556471","https://openalex.org/W2098996144","https://openalex.org/W2111310412","https://openalex.org/W2115652664","https://openalex.org/W2117682799","https://openalex.org/W2132801587","https://openalex.org/W2155169555","https://openalex.org/W2613956024","https://openalex.org/W4244717346"],"related_works":["https://openalex.org/W2165589608","https://openalex.org/W3093557575","https://openalex.org/W2354231916","https://openalex.org/W2162140574","https://openalex.org/W3182767856","https://openalex.org/W2354073393","https://openalex.org/W2361009070","https://openalex.org/W2378988399","https://openalex.org/W1983356840","https://openalex.org/W2121457398"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-03-18T14:38:29.013473","created_date":"2025-10-10T00:00:00"}