{"id":"https://openalex.org/W1589603702","doi":"https://doi.org/10.1007/3-540-45455-1_24","title":"Fast Elliptic Curve Point Counting Using Gaussian Normal Basis","display_name":"Fast Elliptic Curve Point Counting Using Gaussian Normal Basis","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1589603702","doi":"https://doi.org/10.1007/3-540-45455-1_24","mag":"1589603702"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45455-1_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45455-1_24","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/A5112871346","display_name":"Hae Young Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Hae Young Kim","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102854533","display_name":"Jung Youl Park","orcid":"https://orcid.org/0000-0002-0157-0203"},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jung Youl Park","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044011121","display_name":"Jung Hee Cheon","orcid":"https://orcid.org/0000-0002-7085-2220"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jung Hee Cheon","raw_affiliation_strings":["International Research Center for Information Security (IRIS), Information and Communications University (ICU), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"International Research Center for Information Security (IRIS), Information and Communications University (ICU), Daejon, Republic of Korea","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023535589","display_name":"Je Hong Park","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Je Hong Park","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069846351","display_name":"Jae Heon Kim","orcid":"https://orcid.org/0000-0002-4490-3610"},"institutions":[{"id":"https://openalex.org/I4387156240","display_name":"National Security Research Institute","ror":"https://ror.org/01rg5mm74","country_code":null,"type":"government","lineage":["https://openalex.org/I2801339556","https://openalex.org/I4210144908","https://openalex.org/I4387152098","https://openalex.org/I4387156240"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jae Heon Kim","raw_affiliation_strings":["National Security Research Institute (NSRI), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"National Security Research Institute (NSRI), Daejon, Republic of Korea","institution_ids":["https://openalex.org/I4387156240"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111524395","display_name":"Sang Geun Hahn","orcid":null},"institutions":[{"id":"https://openalex.org/I157485424","display_name":"Korea Advanced Institute of Science and Technology","ror":"https://ror.org/05apxxy63","country_code":"KR","type":"education","lineage":["https://openalex.org/I157485424"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sang Geun Hahn","raw_affiliation_strings":["Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Advanced Institute of Science and Technology(KAIST), Daejon, Republic of Korea","institution_ids":["https://openalex.org/I157485424"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5112871346"],"corresponding_institution_ids":["https://openalex.org/I157485424"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.2462,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93719807,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"292","last_page":"307"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9941999912261963,"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/T10237","display_name":"Cryptography and Data Security","score":0.989799976348877,"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/combinatorics","display_name":"Combinatorics","score":0.517087459564209},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.504808783531189},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4948534369468689},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.49311181902885437},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4820757508277893},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.4706004559993744},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.43689677119255066},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.43176692724227905},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.42240387201309204},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41143667697906494},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.37962836027145386},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.13704413175582886},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11990430951118469},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.09146922826766968}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.517087459564209},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.504808783531189},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4948534369468689},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.49311181902885437},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4820757508277893},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.4706004559993744},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.43689677119255066},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.43176692724227905},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.42240387201309204},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41143667697906494},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.37962836027145386},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.13704413175582886},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11990430951118469},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.09146922826766968},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-45455-1_24","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45455-1_24","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:CiteSeerX.psu:10.1.1.3.8915","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.3.8915","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://crypt.kaist.ac.kr/pre_papers/ANTS_final.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W29183413","https://openalex.org/W189366260","https://openalex.org/W975156810","https://openalex.org/W1508193711","https://openalex.org/W1559182355","https://openalex.org/W1600636255","https://openalex.org/W1966980703","https://openalex.org/W1970190317","https://openalex.org/W2003736153","https://openalex.org/W2005261058","https://openalex.org/W2036378739","https://openalex.org/W2055580199","https://openalex.org/W2075252632","https://openalex.org/W2096550161","https://openalex.org/W2128718974","https://openalex.org/W2145153404","https://openalex.org/W2146323046","https://openalex.org/W2253659467","https://openalex.org/W2322172566","https://openalex.org/W2502627125","https://openalex.org/W3007836994","https://openalex.org/W4242424230","https://openalex.org/W4245047333","https://openalex.org/W4293193836"],"related_works":["https://openalex.org/W2078609410","https://openalex.org/W2392320810","https://openalex.org/W2893614166","https://openalex.org/W2387724274","https://openalex.org/W282683215","https://openalex.org/W1955455432","https://openalex.org/W4299961354","https://openalex.org/W1875114221","https://openalex.org/W4287980070","https://openalex.org/W2963430679"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}