{"id":"https://openalex.org/W1542440187","doi":"https://doi.org/10.1007/978-3-642-03298-1_8","title":"Fast Hashing to G 2 on Pairing-Friendly Curves","display_name":"Fast Hashing to G 2 on Pairing-Friendly Curves","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1542440187","doi":"https://doi.org/10.1007/978-3-642-03298-1_8","mag":"1542440187"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-03298-1_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03298-1_8","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":"conference-paper","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/A5057429978","display_name":"Michael Scott","orcid":"https://orcid.org/0000-0002-1356-1224"},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Michael Scott","raw_affiliation_strings":["School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#","institution_ids":["https://openalex.org/I42934936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5006476548","display_name":"Naomi Benger","orcid":null},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Naomi Benger","raw_affiliation_strings":["School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#","institution_ids":["https://openalex.org/I42934936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052041554","display_name":"Manuel Charlemagne","orcid":null},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Manuel Charlemagne","raw_affiliation_strings":["School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#","institution_ids":["https://openalex.org/I42934936"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046991029","display_name":"Luis J. Dominguez Perez","orcid":"https://orcid.org/0000-0002-3275-470X"},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Luis J. Dominguez Perez","raw_affiliation_strings":["School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#","institution_ids":["https://openalex.org/I42934936"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085178792","display_name":"Ezekiel J. Kachisa","orcid":null},"institutions":[{"id":"https://openalex.org/I42934936","display_name":"Dublin City University","ror":"https://ror.org/04a1a1e81","country_code":"IE","type":"education","lineage":["https://openalex.org/I42934936"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"Ezekiel J. Kachisa","raw_affiliation_strings":["School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland","institution_ids":["https://openalex.org/I42934936"]},{"raw_affiliation_string":"School of Computing, Dublin City University, Ballymun, Dublin 9, Ireland#TAB#","institution_ids":["https://openalex.org/I42934936"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5057429978"],"corresponding_institution_ids":["https://openalex.org/I42934936"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.7922,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94255856,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"102","last_page":"113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9904999732971191,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9873999953269958,"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/pairing","display_name":"Pairing","score":0.6873341202735901},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6575539112091064},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6088252663612366},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5272195339202881},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5016763210296631},{"id":"https://openalex.org/keywords/twist","display_name":"Twist","score":0.47420695424079895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4537419080734253},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4520150125026703},{"id":"https://openalex.org/keywords/homomorphism","display_name":"Homomorphism","score":0.43526145815849304},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4301104247570038},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.415982723236084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3346399962902069},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.27903565764427185},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19880974292755127},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08154752850532532},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.05964621901512146}],"concepts":[{"id":"https://openalex.org/C14103023","wikidata":"https://www.wikidata.org/wiki/Q11681459","display_name":"Pairing","level":3,"score":0.6873341202735901},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6575539112091064},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6088252663612366},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5272195339202881},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5016763210296631},{"id":"https://openalex.org/C2776196297","wikidata":"https://www.wikidata.org/wiki/Q17138781","display_name":"Twist","level":2,"score":0.47420695424079895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4537419080734253},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4520150125026703},{"id":"https://openalex.org/C4042151","wikidata":"https://www.wikidata.org/wiki/Q215111","display_name":"Homomorphism","level":2,"score":0.43526145815849304},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4301104247570038},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.415982723236084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3346399962902069},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.27903565764427185},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19880974292755127},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08154752850532532},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.05964621901512146},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-03298-1_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-03298-1_8","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":20,"referenced_works":["https://openalex.org/W239595814","https://openalex.org/W1507575253","https://openalex.org/W1511374591","https://openalex.org/W1520251037","https://openalex.org/W1553083934","https://openalex.org/W1562630396","https://openalex.org/W1587753163","https://openalex.org/W1592482282","https://openalex.org/W1637905077","https://openalex.org/W1761314766","https://openalex.org/W1880212920","https://openalex.org/W1904757850","https://openalex.org/W1921672120","https://openalex.org/W1974049704","https://openalex.org/W2021553056","https://openalex.org/W2097493047","https://openalex.org/W2128718974","https://openalex.org/W2153726795","https://openalex.org/W2482125448","https://openalex.org/W2497843319"],"related_works":["https://openalex.org/W3015473028","https://openalex.org/W3201176751","https://openalex.org/W2029180842","https://openalex.org/W2051379014","https://openalex.org/W2057898405","https://openalex.org/W1993094293","https://openalex.org/W2790938167","https://openalex.org/W2953807518","https://openalex.org/W2258335979","https://openalex.org/W4319323581"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}