{"id":"https://openalex.org/W2136689025","doi":"https://doi.org/10.1109/tvlsi.2008.2001239","title":"Elixir: High-Throughput Cost-Effective Dual-Field Processors and the Design Framework for Elliptic Curve Cryptography","display_name":"Elixir: High-Throughput Cost-Effective Dual-Field Processors and the Design Framework for Elliptic Curve Cryptography","publication_year":2008,"publication_date":"2008-10-07","ids":{"openalex":"https://openalex.org/W2136689025","doi":"https://doi.org/10.1109/tvlsi.2008.2001239","mag":"2136689025"},"language":"en","primary_location":{"id":"doi:10.1109/tvlsi.2008.2001239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2008.2001239","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"},"type":"article","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/A5011994448","display_name":"Jyu-Yuan Lai","orcid":null},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Jyu-Yuan Lai","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Taiwan","Department of Computer Science, National Tsing Hua University, Hsinchu,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu,","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029346217","display_name":"Chih-Tsun Huang","orcid":"https://orcid.org/0000-0002-0214-6826"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chih-Tsun Huang","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Taiwan","Department of Computer Science, National Tsing Hua University, Hsinchu,"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Taiwan","institution_ids":["https://openalex.org/I25846049"]},{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu,","institution_ids":["https://openalex.org/I25846049"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5011994448"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":null,"apc_paid":null,"fwci":10.9975,"has_fulltext":false,"cited_by_count":55,"citation_normalized_percentile":{"value":0.98066909,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"16","issue":"11","first_page":"1567","last_page":"1580"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9911999702453613,"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/T11130","display_name":"Coding theory and cryptography","score":0.9897000193595886,"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/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.6967854499816895},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5928839445114136},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.5127611756324768},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.477192759513855},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.47500741481781006},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.4407362937927246},{"id":"https://openalex.org/keywords/standard-cell","display_name":"Standard cell","score":0.42850568890571594},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4239465892314911},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3806290030479431},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3233669698238373},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1687586009502411},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12908610701560974},{"id":"https://openalex.org/keywords/integrated-circuit","display_name":"Integrated circuit","score":0.12060984969139099},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.08902522921562195},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.08836176991462708},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.08518317341804504}],"concepts":[{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.6967854499816895},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5928839445114136},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.5127611756324768},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.477192759513855},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.47500741481781006},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.4407362937927246},{"id":"https://openalex.org/C78401558","wikidata":"https://www.wikidata.org/wiki/Q464496","display_name":"Standard cell","level":3,"score":0.42850568890571594},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4239465892314911},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3806290030479431},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3233669698238373},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1687586009502411},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12908610701560974},{"id":"https://openalex.org/C530198007","wikidata":"https://www.wikidata.org/wiki/Q80831","display_name":"Integrated circuit","level":2,"score":0.12060984969139099},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.08902522921562195},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.08836176991462708},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.08518317341804504},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tvlsi.2008.2001239","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tvlsi.2008.2001239","pdf_url":null,"source":{"id":"https://openalex.org/S37538908","display_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","issn_l":"1063-8210","issn":["1063-8210","1557-9999"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Very Large Scale Integration (VLSI) Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Industry, innovation and infrastructure","id":"https://metadata.un.org/sdg/9"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320337392","display_name":"Division of Electrical, Communications and Cyber Systems","ror":"https://ror.org/01krpsy48"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1482495993","https://openalex.org/W1503069186","https://openalex.org/W1508193711","https://openalex.org/W1586812950","https://openalex.org/W1634503271","https://openalex.org/W1798101321","https://openalex.org/W1947125001","https://openalex.org/W1964698277","https://openalex.org/W1979777930","https://openalex.org/W2003736153","https://openalex.org/W2004814164","https://openalex.org/W2033234115","https://openalex.org/W2036378739","https://openalex.org/W2086828313","https://openalex.org/W2114266730","https://openalex.org/W2118635458","https://openalex.org/W2119688981","https://openalex.org/W2127115545","https://openalex.org/W2128740050","https://openalex.org/W2136119832","https://openalex.org/W2151163104","https://openalex.org/W2156903905","https://openalex.org/W2157640111","https://openalex.org/W2496045601","https://openalex.org/W4237773356"],"related_works":["https://openalex.org/W2136583354","https://openalex.org/W2111238207","https://openalex.org/W4322486674","https://openalex.org/W4226476440","https://openalex.org/W2031177322","https://openalex.org/W2584223401","https://openalex.org/W2950233671","https://openalex.org/W2527434421","https://openalex.org/W2890638870","https://openalex.org/W2517682547"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,8,54,82,100],"design":[3,24,153],"framework":[4],"that":[5],"consists":[6],"of":[7,84,134,146],"high-throughput,":[9],"parallel,":[10],"and":[11,18,44,56,71,94,122,136],"scalable":[12,57],"elliptic":[13,69],"curve":[14],"cryptographic":[15],"(ECC)":[16],"processor,":[17],"its":[19,152],"cost-effectiveness":[20,145],"methodology":[21,29],"for":[22],"the":[23,34,52,144,147],"exploration.":[25],"A":[26],"two-phase":[27],"scheduling":[28],"is":[30,60,105],"proposed":[31,148],"to":[32,81],"optimize":[33],"ECC":[35,58,65,102,141,149],"arithmetic":[36],"over":[37,116,125],"both":[38],"GF(":[39,117],"<i":[40,46,118,127],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[41,47,119,128],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</i>":[42,120],")":[43,121],"GF(2":[45,126],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</i>":[48,129],").":[49],"Based":[50],"on":[51],"methodology,":[53],"parallel":[55],"architecture":[59,66,150],"also":[61],"proposed.":[62],"Our":[63],"dual-field":[64],"supports":[67],"arbitrary":[68,72],"curves":[70],"finite":[73],"fields":[74],"with":[75,86,151],"different":[76,87,140],"field":[77],"sizes.":[78],"The":[79,132],"optimization":[80],"variety":[83],"applications":[85],"area/throughput":[88],"requirements":[89],"can":[90,108],"be":[91],"achieved":[92],"rapidly":[93],"efficiently.":[95],"Using":[96],"0.13-mum":[97],"CMOS":[98],"technology,":[99],"160-bit":[101],"processor":[103],"core":[104],"implemented,":[106],"which":[107],"perform":[109],"elliptic-curve":[110],"scalar":[111],"multiplication":[112],"in":[113],"340":[114],"mus":[115,124],"155":[123],"),":[130],"respectively.":[131],"comparison":[133],"speed":[135],"area":[137],"overhead":[138],"among":[139],"designs":[142],"justifies":[143],"methodology.":[154]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":8},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}