{"id":"https://openalex.org/W1972619009","doi":"https://doi.org/10.1007/pl00003818","title":"A Fast Diffie\u2014Hellman Protocol in Genus 2","display_name":"A Fast Diffie\u2014Hellman Protocol in Genus 2","publication_year":1999,"publication_date":"1999-01-01","ids":{"openalex":"https://openalex.org/W1972619009","doi":"https://doi.org/10.1007/pl00003818","mag":"1972619009"},"language":"en","primary_location":{"id":"doi:10.1007/pl00003818","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00003818","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00003818.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/PL00003818.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013420832","display_name":"Nigel P. Smart","orcid":"https://orcid.org/0000-0003-3567-3304"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"N. P. Smart","raw_affiliation_strings":["Institute of Mathematics and Statistics,  University of Kent at Canterbury,   Canterbury, Kent CT2 7NF, England   N.P.Smart@ukc.ac.uk S.Siksek@ukc.ac.uk, UK"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics,  University of Kent at Canterbury,   Canterbury, Kent CT2 7NF, England   N.P.Smart@ukc.ac.uk S.Siksek@ukc.ac.uk, UK","institution_ids":["https://openalex.org/I20581793"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5017561176","display_name":"Samir Siksek","orcid":"https://orcid.org/0000-0002-7998-2259"},"institutions":[{"id":"https://openalex.org/I20581793","display_name":"University of Kent","ror":"https://ror.org/00xkeyj56","country_code":"GB","type":"education","lineage":["https://openalex.org/I20581793"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"S. Siksek","raw_affiliation_strings":["Institute of Mathematics and Statistics,  University of Kent at Canterbury,   Canterbury, Kent CT2 7NF, England   N.P.Smart@ukc.ac.uk S.Siksek@ukc.ac.uk, UK"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Statistics,  University of Kent at Canterbury,   Canterbury, Kent CT2 7NF, England   N.P.Smart@ukc.ac.uk S.Siksek@ukc.ac.uk, UK","institution_ids":["https://openalex.org/I20581793"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5013420832"],"corresponding_institution_ids":["https://openalex.org/I20581793"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":17,"citation_normalized_percentile":{"value":0.17382644,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"12","issue":"1","first_page":"67","last_page":"73"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9972000122070312,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9930999875068665,"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/multiplication","display_name":"Multiplication (music)","score":0.781598687171936},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7370980978012085},{"id":"https://openalex.org/keywords/genus","display_name":"Genus","score":0.616223156452179},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5840013027191162},{"id":"https://openalex.org/keywords/jacobian-matrix-and-determinant","display_name":"Jacobian matrix and determinant","score":0.5669565200805664},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.47083353996276855},{"id":"https://openalex.org/keywords/square-root","display_name":"Square root","score":0.46718695759773254},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.45015472173690796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41319039463996887},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2772185802459717},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06609183549880981},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05709144473075867},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.05632123351097107},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.05576145648956299}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.781598687171936},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7370980978012085},{"id":"https://openalex.org/C157369684","wikidata":"https://www.wikidata.org/wiki/Q34740","display_name":"Genus","level":2,"score":0.616223156452179},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5840013027191162},{"id":"https://openalex.org/C200331156","wikidata":"https://www.wikidata.org/wiki/Q506041","display_name":"Jacobian matrix and determinant","level":2,"score":0.5669565200805664},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.47083353996276855},{"id":"https://openalex.org/C11577676","wikidata":"https://www.wikidata.org/wiki/Q134237","display_name":"Square root","level":2,"score":0.46718695759773254},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.45015472173690796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41319039463996887},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2772185802459717},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06609183549880981},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05709144473075867},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.05632123351097107},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.05576145648956299},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/pl00003818","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00003818","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00003818.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},{"id":"pmh:oai:research-information.bris.ac.uk:openaire_cris_publications/bdb6a55c-cfda-4468-9c02-08c0a64bb4af","is_oa":false,"landing_page_url":"https://research-information.bris.ac.uk/en/publications/bdb6a55c-cfda-4468-9c02-08c0a64bb4af","pdf_url":null,"source":{"id":"https://openalex.org/S4306400895","display_name":"Bristol Research (University of Bristol)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I36234482","host_organization_name":"University of Bristol","host_organization_lineage":["https://openalex.org/I36234482"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Smart, N P & Siksek, S 1999, 'A fast Diffie-Hellman protocol in genus 2', Journal of Cryptology, vol. 12 (1);, pp. 67 - 73. < http://www.cs.bris.ac.uk/Tools/Reports/Abstracts/1999-siksek.html >","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:kar.kent.ac.uk:16627","is_oa":false,"landing_page_url":"https://kar.kent.ac.uk/16627/","pdf_url":null,"source":{"id":"https://openalex.org/S4377196264","display_name":"Kent Academic Repository (University of Kent)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I20581793","host_organization_name":"University of Kent","host_organization_lineage":["https://openalex.org/I20581793"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/pl00003818","is_oa":true,"landing_page_url":"https://doi.org/10.1007/pl00003818","pdf_url":"https://link.springer.com/content/pdf/10.1007/PL00003818.pdf","source":{"id":"https://openalex.org/S190936789","display_name":"Journal of Cryptology","issn_l":"0933-2790","issn":["0933-2790","1432-1378"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Cryptology","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1972619009.pdf","grobid_xml":"https://content.openalex.org/works/W1972619009.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W133688896","https://openalex.org/W1519023517","https://openalex.org/W1533469128","https://openalex.org/W1537838966","https://openalex.org/W1544557732","https://openalex.org/W1560603711","https://openalex.org/W1591359986","https://openalex.org/W1830587842","https://openalex.org/W1938064843","https://openalex.org/W2013383029","https://openalex.org/W2069485873","https://openalex.org/W2912690715","https://openalex.org/W4237505298","https://openalex.org/W4251630068"],"related_works":["https://openalex.org/W2007405763","https://openalex.org/W1486373823","https://openalex.org/W3136087161","https://openalex.org/W2053762185","https://openalex.org/W2119578520","https://openalex.org/W2018238589","https://openalex.org/W2145980196","https://openalex.org/W1984283682","https://openalex.org/W2235865024","https://openalex.org/W1965257389"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
