{"id":"https://openalex.org/W1580293818","doi":"https://doi.org/10.1007/3-540-36552-4_19","title":"New Frobenius Expansions for Elliptic Curves with Efficient Endomorphisms","display_name":"New Frobenius Expansions for Elliptic Curves with Efficient Endomorphisms","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1580293818","doi":"https://doi.org/10.1007/3-540-36552-4_19","mag":"1580293818"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-36552-4_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36552-4_19","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/A5043201967","display_name":"Tae Jun Park","orcid":"https://orcid.org/0000-0002-5830-1039"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Tae-Jun Park","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019931191","display_name":"Mun\u2010Kyu Lee","orcid":"https://orcid.org/0000-0003-4423-7467"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Mun-Kyu Lee","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039462502","display_name":"Kunsoo Park","orcid":"https://orcid.org/0000-0001-5225-0907"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Kunsoo Park","raw_affiliation_strings":["School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea"],"affiliations":[{"raw_affiliation_string":"School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea","institution_ids":["https://openalex.org/I139264467"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043201967"],"corresponding_institution_ids":["https://openalex.org/I139264467"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.1083,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.78773742,"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":"264","last_page":"282"},"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9948999881744385,"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":0.9800999760627747,"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/scalar-multiplication","display_name":"Scalar multiplication","score":0.9245932698249817},{"id":"https://openalex.org/keywords/endomorphism","display_name":"Endomorphism","score":0.8884921073913574},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.6408417820930481},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.63509202003479},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5151987671852112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4969389736652374},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.367445170879364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34048861265182495},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.33678102493286133},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.08679512143135071},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.07033145427703857}],"concepts":[{"id":"https://openalex.org/C171182647","wikidata":"https://www.wikidata.org/wiki/Q126736","display_name":"Scalar multiplication","level":3,"score":0.9245932698249817},{"id":"https://openalex.org/C116858840","wikidata":"https://www.wikidata.org/wiki/Q1340800","display_name":"Endomorphism","level":2,"score":0.8884921073913574},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.6408417820930481},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.63509202003479},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5151987671852112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4969389736652374},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.367445170879364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34048861265182495},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.33678102493286133},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.08679512143135071},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.07033145427703857}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-36552-4_19","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-36552-4_19","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":26,"referenced_works":["https://openalex.org/W91903624","https://openalex.org/W1486898453","https://openalex.org/W1507106163","https://openalex.org/W1546138476","https://openalex.org/W1565378600","https://openalex.org/W1574660682","https://openalex.org/W1575893707","https://openalex.org/W1584722274","https://openalex.org/W1586812950","https://openalex.org/W1694128183","https://openalex.org/W1869939343","https://openalex.org/W1957825227","https://openalex.org/W1989258293","https://openalex.org/W2003736153","https://openalex.org/W2036378739","https://openalex.org/W2091987928","https://openalex.org/W2109801498","https://openalex.org/W2115190247","https://openalex.org/W2128718974","https://openalex.org/W2155937429","https://openalex.org/W2161531038","https://openalex.org/W3144282860","https://openalex.org/W3175367423","https://openalex.org/W4245047333","https://openalex.org/W4285719527","https://openalex.org/W6684373899"],"related_works":["https://openalex.org/W2034604290","https://openalex.org/W2867317277","https://openalex.org/W2952176428","https://openalex.org/W2078886092","https://openalex.org/W1576294153","https://openalex.org/W1767685007","https://openalex.org/W2362283711","https://openalex.org/W2002792918","https://openalex.org/W2360049128","https://openalex.org/W1485234189"],"abstract_inverted_index":null,"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
