{"id":"https://openalex.org/W1501115028","doi":"https://doi.org/10.1007/978-3-540-46588-1_27","title":"Fast Implementation of Elliptic Curve Arithmetic in GF(p n )","display_name":"Fast Implementation of Elliptic Curve Arithmetic in GF(p n )","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1501115028","doi":"https://doi.org/10.1007/978-3-540-46588-1_27","mag":"1501115028"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-46588-1_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-46588-1_27","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/A5027735618","display_name":"Chae Hoon Lim","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chae Hoon Lim","raw_affiliation_strings":["Future Systems, Inc., Information and Communications Research Center, 372-2, Yang Jae-Dong, Seo Cho-Gu, Seoul, 137-130, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Future Systems, Inc., Information and Communications Research Center, 372-2, Yang Jae-Dong, Seo Cho-Gu, Seoul, 137-130, Korea","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052069834","display_name":"Hyo Sun Hwang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hyo Sun Hwang","raw_affiliation_strings":["Future Systems, Inc., Information and Communications Research Center, 372-2, Yang Jae-Dong, Seo Cho-Gu, Seoul, 137-130, Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Future Systems, Inc., Information and Communications Research Center, 372-2, Yang Jae-Dong, Seo Cho-Gu, Seoul, 137-130, Korea","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.4675,"has_fulltext":false,"cited_by_count":73,"citation_normalized_percentile":{"value":0.95672406,"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":"405","last_page":"421"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9818999767303467,"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":0.9758999943733215,"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/arithmetic","display_name":"Arithmetic","score":0.7260867953300476},{"id":"https://openalex.org/keywords/elliptic-curve-point-multiplication","display_name":"Elliptic curve point multiplication","score":0.7188760638237},{"id":"https://openalex.org/keywords/hessian-form-of-an-elliptic-curve","display_name":"Hessian form of an elliptic curve","score":0.7122598886489868},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.7109237313270569},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.6236414909362793},{"id":"https://openalex.org/keywords/tripling-oriented-doche\u2013icart\u2013kohel-curve","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","score":0.6231338977813721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6164324283599854},{"id":"https://openalex.org/keywords/pentium","display_name":"Pentium","score":0.6057721376419067},{"id":"https://openalex.org/keywords/gf","display_name":"GF(2)","score":0.46029365062713623},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44420570135116577},{"id":"https://openalex.org/keywords/elliptic-curve-digital-signature-algorithm","display_name":"Elliptic Curve Digital Signature Algorithm","score":0.4304737150669098},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.42631134390830994},{"id":"https://openalex.org/keywords/edwards-curve","display_name":"Edwards curve","score":0.4133559763431549},{"id":"https://openalex.org/keywords/schoofs-algorithm","display_name":"Schoof's algorithm","score":0.39117538928985596},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.3449949622154236},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.34444668889045715},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3336331844329834},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3327797055244446},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31721532344818115},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12474891543388367},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.11681938171386719},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.10576286911964417},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.09064853191375732},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.07930859923362732}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.7260867953300476},{"id":"https://openalex.org/C117121985","wikidata":"https://www.wikidata.org/wiki/Q78380999","display_name":"Elliptic curve point multiplication","level":3,"score":0.7188760638237},{"id":"https://openalex.org/C104993295","wikidata":"https://www.wikidata.org/wiki/Q17023345","display_name":"Hessian form of an elliptic curve","level":5,"score":0.7122598886489868},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.7109237313270569},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.6236414909362793},{"id":"https://openalex.org/C37055786","wikidata":"https://www.wikidata.org/wiki/Q7843607","display_name":"Tripling-oriented Doche\u2013Icart\u2013Kohel curve","level":5,"score":0.6231338977813721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6164324283599854},{"id":"https://openalex.org/C46268123","wikidata":"https://www.wikidata.org/wiki/Q214314","display_name":"Pentium","level":2,"score":0.6057721376419067},{"id":"https://openalex.org/C156350748","wikidata":"https://www.wikidata.org/wiki/Q5513324","display_name":"GF(2)","level":3,"score":0.46029365062713623},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44420570135116577},{"id":"https://openalex.org/C197966572","wikidata":"https://www.wikidata.org/wiki/Q915079","display_name":"Elliptic Curve Digital Signature Algorithm","level":5,"score":0.4304737150669098},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.42631134390830994},{"id":"https://openalex.org/C92727272","wikidata":"https://www.wikidata.org/wiki/Q3001190","display_name":"Edwards curve","level":5,"score":0.4133559763431549},{"id":"https://openalex.org/C121444067","wikidata":"https://www.wikidata.org/wiki/Q2835817","display_name":"Schoof's algorithm","level":4,"score":0.39117538928985596},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3449949622154236},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.34444668889045715},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3336331844329834},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3327797055244446},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31721532344818115},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12474891543388367},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.11681938171386719},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.10576286911964417},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.09064853191375732},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.07930859923362732},{"id":"https://openalex.org/C197875053","wikidata":"https://www.wikidata.org/wiki/Q7269266","display_name":"Quarter period","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-46588-1_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-46588-1_27","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/W46786753","https://openalex.org/W106390794","https://openalex.org/W1507106163","https://openalex.org/W1511374591","https://openalex.org/W1521787982","https://openalex.org/W1522228241","https://openalex.org/W1529013801","https://openalex.org/W1538333734","https://openalex.org/W1546138476","https://openalex.org/W1560768562","https://openalex.org/W1574660682","https://openalex.org/W1584579923","https://openalex.org/W1602301309","https://openalex.org/W1634503271","https://openalex.org/W1869939343","https://openalex.org/W1971605365","https://openalex.org/W1981663184","https://openalex.org/W1989258293","https://openalex.org/W1995997000","https://openalex.org/W2003736153","https://openalex.org/W2020601656","https://openalex.org/W2036378739","https://openalex.org/W2109801498","https://openalex.org/W2115840814","https://openalex.org/W2139192386","https://openalex.org/W2155937429","https://openalex.org/W2161531038","https://openalex.org/W2475786860","https://openalex.org/W2476012767","https://openalex.org/W2484860292","https://openalex.org/W2493671158","https://openalex.org/W2494421621","https://openalex.org/W2495595500","https://openalex.org/W2506013821","https://openalex.org/W2624923838","https://openalex.org/W2770583616","https://openalex.org/W2786751220","https://openalex.org/W2787074033","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2121110380","https://openalex.org/W28923676","https://openalex.org/W1634503271","https://openalex.org/W2071707911","https://openalex.org/W2006528304","https://openalex.org/W3211097549","https://openalex.org/W2188057592","https://openalex.org/W1976871117","https://openalex.org/W2131587162","https://openalex.org/W2548082687"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}