{"id":"https://openalex.org/W1535347796","doi":"https://doi.org/10.1007/978-3-642-12678-9_13","title":"Avoiding Full Extension Field Arithmetic in Pairing Computations","display_name":"Avoiding Full Extension Field Arithmetic in Pairing Computations","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1535347796","doi":"https://doi.org/10.1007/978-3-642-12678-9_13","mag":"1535347796"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-12678-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-12678-9_13","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/A5012881701","display_name":"Craig Costello","orcid":"https://orcid.org/0000-0001-5423-7714"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Craig Costello","raw_affiliation_strings":["Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia"],"affiliations":[{"raw_affiliation_string":"Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091630171","display_name":"Colin Boyd","orcid":null},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Colin Boyd","raw_affiliation_strings":["Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia"],"affiliations":[{"raw_affiliation_string":"Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113691989","display_name":"Juan Manuel Gonz\u00e1lez Nieto","orcid":null},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Juan Manuel Gonz\u00e1lez Nieto","raw_affiliation_strings":["Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia"],"affiliations":[{"raw_affiliation_string":"Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056022933","display_name":"Kenneth Koon\u2010Ho Wong","orcid":"https://orcid.org/0000-0003-1732-6149"},"institutions":[{"id":"https://openalex.org/I160993911","display_name":"Queensland University of Technology","ror":"https://ror.org/03pnv4752","country_code":"AU","type":"education","lineage":["https://openalex.org/I160993911"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Kenneth Koon-Ho Wong","raw_affiliation_strings":["Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia"],"affiliations":[{"raw_affiliation_string":"Information Security Institute, Queensland University of Technology, GPO Box 2434, Brisbane, QLD, 4001, Australia","institution_ids":["https://openalex.org/I160993911"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012881701"],"corresponding_institution_ids":["https://openalex.org/I160993911"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.3149,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.89711163,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"203","last_page":"224"},"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":0.9969000220298767,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9911999702453613,"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/extension","display_name":"Extension (predicate logic)","score":0.7993667721748352},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.745697021484375},{"id":"https://openalex.org/keywords/pairing","display_name":"Pairing","score":0.7127280235290527},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.6187194585800171},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.6092199683189392},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5762392282485962},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5049741864204407},{"id":"https://openalex.org/keywords/miller","display_name":"Miller","score":0.4682510793209076},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.41735661029815674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.410075306892395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27000874280929565},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.12233763933181763},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.08395138382911682},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0820610523223877}],"concepts":[{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.7993667721748352},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.745697021484375},{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.7127280235290527},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.6187194585800171},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.6092199683189392},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5762392282485962},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5049741864204407},{"id":"https://openalex.org/C2777496998","wikidata":"https://www.wikidata.org/wiki/Q1536587","display_name":"Miller","level":2,"score":0.4682510793209076},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.41735661029815674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.410075306892395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27000874280929565},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.12233763933181763},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.08395138382911682},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0820610523223877},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C54101563","wikidata":"https://www.wikidata.org/wiki/Q124131","display_name":"Superconductivity","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-12678-9_13","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-12678-9_13","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":39,"referenced_works":["https://openalex.org/W101585514","https://openalex.org/W239595814","https://openalex.org/W1520251037","https://openalex.org/W1525805668","https://openalex.org/W1534733761","https://openalex.org/W1544438321","https://openalex.org/W1553083934","https://openalex.org/W1571104860","https://openalex.org/W1592482282","https://openalex.org/W1637905077","https://openalex.org/W1801647650","https://openalex.org/W1810472045","https://openalex.org/W1843096854","https://openalex.org/W1845108744","https://openalex.org/W1890654486","https://openalex.org/W1904757850","https://openalex.org/W1990220158","https://openalex.org/W1992402139","https://openalex.org/W2021553056","https://openalex.org/W2028372707","https://openalex.org/W2032767749","https://openalex.org/W2034710402","https://openalex.org/W2055083041","https://openalex.org/W2065654144","https://openalex.org/W2070030672","https://openalex.org/W2086042811","https://openalex.org/W2097493047","https://openalex.org/W2114609370","https://openalex.org/W2117596926","https://openalex.org/W2135616576","https://openalex.org/W2152924492","https://openalex.org/W2153726795","https://openalex.org/W2245418897","https://openalex.org/W2296489817","https://openalex.org/W2561675875","https://openalex.org/W2913147052","https://openalex.org/W3029511505","https://openalex.org/W4285719527","https://openalex.org/W6629097848"],"related_works":["https://openalex.org/W3036113924","https://openalex.org/W3015473028","https://openalex.org/W3201176751","https://openalex.org/W3155555900","https://openalex.org/W2057898405","https://openalex.org/W2029180842","https://openalex.org/W2051379014","https://openalex.org/W3187290648","https://openalex.org/W4233121562","https://openalex.org/W2953807518"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}