{"id":"https://openalex.org/W1834108205","doi":"https://doi.org/10.1007/11894063_10","title":"Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware","display_name":"Implementing the Elliptic Curve Method of Factoring in Reconfigurable Hardware","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W1834108205","doi":"https://doi.org/10.1007/11894063_10","mag":"1834108205"},"language":"en","primary_location":{"id":"doi:10.1007/11894063_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11894063_10","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/A5004924763","display_name":"Kris Gaj","orcid":"https://orcid.org/0000-0002-5050-8748"},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Kris Gaj","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089566116","display_name":"Soonhak Kwon","orcid":"https://orcid.org/0000-0002-3336-0817"},"institutions":[{"id":"https://openalex.org/I848706","display_name":"Sungkyunkwan University","ror":"https://ror.org/04q78tk20","country_code":"KR","type":"education","lineage":["https://openalex.org/I848706"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Soonhak Kwon","raw_affiliation_strings":["Inst. of Basic Science, Sungkyunkwan University, Suwon, 440-746, Korea"],"affiliations":[{"raw_affiliation_string":"Inst. of Basic Science, Sungkyunkwan University, Suwon, 440-746, Korea","institution_ids":["https://openalex.org/I848706"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027535644","display_name":"Patrick Baier","orcid":null},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick Baier","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087642702","display_name":"Paul Kohlbrenner","orcid":null},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Kohlbrenner","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050425828","display_name":"Hoang Le","orcid":null},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hoang Le","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5052891866","display_name":"Mohammed Khaleeluddin","orcid":null},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mohammed Khaleeluddin","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021965025","display_name":"Ramakrishna Bachimanchi","orcid":null},"institutions":[{"id":"https://openalex.org/I162714631","display_name":"George Mason University","ror":"https://ror.org/02jqj7156","country_code":"US","type":"education","lineage":["https://openalex.org/I162714631"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ramakrishna Bachimanchi","raw_affiliation_strings":["Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Computer Engineering, George Mason University, Fairfax, Virginia, 22030, USA","institution_ids":["https://openalex.org/I162714631"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":7,"corresponding_author_ids":["https://openalex.org/A5004924763"],"corresponding_institution_ids":["https://openalex.org/I162714631"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.6527,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.94292035,"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":"119","last_page":"133"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9886000156402588,"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"}},{"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"}}],"keywords":[{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.9190257787704468},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7891215085983276},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.5143871903419495},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.4141181707382202},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.4086984395980835},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4053257703781128},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.3467097878456116},{"id":"https://openalex.org/keywords/computational-science","display_name":"Computational science","score":0.3216620087623596},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.28267765045166016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1235402524471283},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.09392422437667847},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06777727603912354}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.9190257787704468},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7891215085983276},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.5143871903419495},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.4141181707382202},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.4086984395980835},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4053257703781128},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.3467097878456116},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.3216620087623596},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.28267765045166016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1235402524471283},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.09392422437667847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06777727603912354},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/11894063_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/11894063_10","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":[{"display_name":"Industry, innovation and infrastructure","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W24281520","https://openalex.org/W969136761","https://openalex.org/W1493873707","https://openalex.org/W1516729797","https://openalex.org/W1527549550","https://openalex.org/W1531520927","https://openalex.org/W1581759149","https://openalex.org/W1592379185","https://openalex.org/W1674193244","https://openalex.org/W1880212920","https://openalex.org/W1890195226","https://openalex.org/W1971605365","https://openalex.org/W2004814164","https://openalex.org/W2005317356","https://openalex.org/W2008571739","https://openalex.org/W2049018907","https://openalex.org/W2063494915","https://openalex.org/W2098530776","https://openalex.org/W2106177748","https://openalex.org/W2119819322","https://openalex.org/W2142367315","https://openalex.org/W2179025976"],"related_works":["https://openalex.org/W2377710379","https://openalex.org/W2947911821","https://openalex.org/W2031177322","https://openalex.org/W4226476440","https://openalex.org/W1577956677","https://openalex.org/W2584223401","https://openalex.org/W2950233671","https://openalex.org/W2527434421","https://openalex.org/W2517682547","https://openalex.org/W1569862725"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
