{"id":"https://openalex.org/W2474056434","doi":"https://doi.org/10.1007/978-3-662-53140-2_25","title":"Four$$\\mathbb {Q}$$ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields","display_name":"Four$$\\mathbb {Q}$$ on FPGA: New Hardware Speed Records for Elliptic Curve Cryptography over Large Prime Characteristic Fields","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2474056434","doi":"https://doi.org/10.1007/978-3-662-53140-2_25","mag":"2474056434"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-53140-2_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-53140-2_25","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/A5047924673","display_name":"Kimmo J\u00e4rvinen","orcid":"https://orcid.org/0000-0001-8012-2881"},"institutions":[{"id":"https://openalex.org/I9927081","display_name":"Aalto University","ror":"https://ror.org/020hwjq30","country_code":"FI","type":"education","lineage":["https://openalex.org/I9927081"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Kimmo J\u00e4rvinen","raw_affiliation_strings":["Department of Computer Science, Aalto University, Espoo, Finland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Aalto University, Espoo, Finland","institution_ids":["https://openalex.org/I9927081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042351936","display_name":"Andrea Miele","orcid":"https://orcid.org/0000-0002-8207-1843"},"institutions":[{"id":"https://openalex.org/I1343180700","display_name":"Intel (United States)","ror":"https://ror.org/01ek73717","country_code":"US","type":"company","lineage":["https://openalex.org/I1343180700"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Andrea Miele","raw_affiliation_strings":["Intel Corporation, Santa Clara, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Intel Corporation, Santa Clara, USA","institution_ids":["https://openalex.org/I1343180700"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5064156050","display_name":"Reza Azarderakhsh","orcid":"https://orcid.org/0000-0002-6921-6868"},"institutions":[{"id":"https://openalex.org/I155173764","display_name":"Rochester Institute of Technology","ror":"https://ror.org/00v4yb702","country_code":"US","type":"education","lineage":["https://openalex.org/I155173764"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Reza Azarderakhsh","raw_affiliation_strings":["Department of Computer Engineering, Rochester Institute of Technology, Rochester, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Engineering, Rochester Institute of Technology, Rochester, USA","institution_ids":["https://openalex.org/I155173764"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053260383","display_name":"Patrick Longa","orcid":"https://orcid.org/0000-0001-5791-6341"},"institutions":[{"id":"https://openalex.org/I1290206253","display_name":"Microsoft (United States)","ror":"https://ror.org/00d0nc645","country_code":"US","type":"company","lineage":["https://openalex.org/I1290206253"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Patrick Longa","raw_affiliation_strings":["Microsoft Research, Redmond, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Microsoft Research, Redmond, USA","institution_ids":["https://openalex.org/I1290206253"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5053260383"],"corresponding_institution_ids":["https://openalex.org/I1290206253"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":2.6201,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.91428571,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"517","last_page":"537"},"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":0.989799976348877,"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"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9865000247955322,"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/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.858253002166748},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6923083066940308},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5376980900764465},{"id":"https://openalex.org/keywords/elliptic-curve-cryptography","display_name":"Elliptic curve cryptography","score":0.5351496934890747},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.5056183338165283},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.4818795323371887},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4776933491230011},{"id":"https://openalex.org/keywords/elliptic-curve","display_name":"Elliptic curve","score":0.4371417164802551},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3740004301071167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35044264793395996},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.33058029413223267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.1794971227645874},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.15833747386932373},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.12891584634780884},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.07257229089736938},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.06013786792755127},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.056685060262680054}],"concepts":[{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.858253002166748},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6923083066940308},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5376980900764465},{"id":"https://openalex.org/C167615521","wikidata":"https://www.wikidata.org/wiki/Q1048911","display_name":"Elliptic curve cryptography","level":4,"score":0.5351496934890747},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.5056183338165283},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.4818795323371887},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4776933491230011},{"id":"https://openalex.org/C179603306","wikidata":"https://www.wikidata.org/wiki/Q268493","display_name":"Elliptic curve","level":2,"score":0.4371417164802551},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3740004301071167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35044264793395996},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.33058029413223267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.1794971227645874},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.15833747386932373},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.12891584634780884},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.07257229089736938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.06013786792755127},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.056685060262680054},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-53140-2_25","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-53140-2_25","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":36,"referenced_works":["https://openalex.org/W124286720","https://openalex.org/W127770406","https://openalex.org/W179459262","https://openalex.org/W190255824","https://openalex.org/W842297048","https://openalex.org/W1440563447","https://openalex.org/W1517364441","https://openalex.org/W1539740938","https://openalex.org/W1550393351","https://openalex.org/W1565369953","https://openalex.org/W1613874182","https://openalex.org/W1910751411","https://openalex.org/W1957825227","https://openalex.org/W1970154887","https://openalex.org/W1971605365","https://openalex.org/W1976525096","https://openalex.org/W1979777930","https://openalex.org/W2003736153","https://openalex.org/W2020207242","https://openalex.org/W2024764973","https://openalex.org/W2030413992","https://openalex.org/W2031993065","https://openalex.org/W2036378739","https://openalex.org/W2078731783","https://openalex.org/W2085540322","https://openalex.org/W2111978877","https://openalex.org/W2114725648","https://openalex.org/W2134258244","https://openalex.org/W2154909745","https://openalex.org/W2226566141","https://openalex.org/W2294895936","https://openalex.org/W2295476163","https://openalex.org/W2306397823","https://openalex.org/W2321342008","https://openalex.org/W2556839132","https://openalex.org/W2951667790"],"related_works":["https://openalex.org/W2484747202","https://openalex.org/W2123371741","https://openalex.org/W3006530033","https://openalex.org/W2515677778","https://openalex.org/W2902811469","https://openalex.org/W2760385239","https://openalex.org/W1981394587","https://openalex.org/W2274369376","https://openalex.org/W4253645641","https://openalex.org/W1037639420"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":4}],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}
