{"id":"https://openalex.org/W2169086636","doi":"https://doi.org/10.1109/fpt.2008.4762364","title":"Optimizing residue arithmetic on FPGAs","display_name":"Optimizing residue arithmetic on FPGAs","publication_year":2008,"publication_date":"2008-12-01","ids":{"openalex":"https://openalex.org/W2169086636","doi":"https://doi.org/10.1109/fpt.2008.4762364","mag":"2169086636"},"language":"en","primary_location":{"id":"doi:10.1109/fpt.2008.4762364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpt.2008.4762364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Field-Programmable Technology","raw_type":"proceedings-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/A5109228141","display_name":"Haohuan Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Haohuan Fu","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083608463","display_name":"Oskar Mencer","orcid":null},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Oskar Mencer","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057940557","display_name":"Wayne Luk","orcid":"https://orcid.org/0000-0002-6750-927X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Wayne Luk","raw_affiliation_strings":["Department of Computing, Imperial College London, London, UK"],"affiliations":[{"raw_affiliation_string":"Department of Computing, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109228141"],"corresponding_institution_ids":["https://openalex.org/I47508984"],"apc_list":null,"apc_paid":null,"fwci":3.5195,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.93142328,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"400","issue":null,"first_page":"41","last_page":"48"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998000264167786,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994999766349792,"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":0.9991000294685364,"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":0.7053138613700867},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.6899165511131287},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.6234760284423828},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5575361847877502},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.46024200320243835},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.4557284116744995},{"id":"https://openalex.org/keywords/quadratic-residue","display_name":"Quadratic residue","score":0.4526994228363037},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3165978789329529},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.27744394540786743},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24707618355751038}],"concepts":[{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.7053138613700867},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.6899165511131287},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.6234760284423828},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5575361847877502},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.46024200320243835},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.4557284116744995},{"id":"https://openalex.org/C12817185","wikidata":"https://www.wikidata.org/wiki/Q878259","display_name":"Quadratic residue","level":2,"score":0.4526994228363037},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3165978789329529},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.27744394540786743},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24707618355751038}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fpt.2008.4762364","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fpt.2008.4762364","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 International Conference on Field-Programmable Technology","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.409.8381","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.409.8381","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://comparch.doc.ic.ac.uk/publications/files/hfu08fpt.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1505446764","https://openalex.org/W1537432529","https://openalex.org/W1543839255","https://openalex.org/W1581064268","https://openalex.org/W1594843402","https://openalex.org/W1608773862","https://openalex.org/W1967861055","https://openalex.org/W2001108804","https://openalex.org/W2016066384","https://openalex.org/W2084388043","https://openalex.org/W2108089272","https://openalex.org/W2113807376","https://openalex.org/W2119987038","https://openalex.org/W2121176637","https://openalex.org/W2152264614","https://openalex.org/W2162987218","https://openalex.org/W2167290155","https://openalex.org/W2188384784","https://openalex.org/W2264902064","https://openalex.org/W2502244010","https://openalex.org/W6684027717"],"related_works":["https://openalex.org/W2295223161","https://openalex.org/W2529865900","https://openalex.org/W3017561342","https://openalex.org/W2127583645","https://openalex.org/W1876592433","https://openalex.org/W2140364767","https://openalex.org/W3142156286","https://openalex.org/W2085411236","https://openalex.org/W4387159402","https://openalex.org/W1939102949"],"abstract_inverted_index":{"Residue":[0],"Number":[1],"System":[2],"(RNS),":[3],"which":[4],"originates":[5],"from":[6,57],"the":[7,19,37,76,98,141,146,161],"Chinese":[8],"Remainder":[9],"Theorem,":[10],"is":[11],"regarded":[12],"as":[13,43],"a":[14,64,91,119,156],"promising":[15],"number":[16,137,158],"representation":[17],"in":[18],"domain":[20],"of":[21,39,122,159],"Digital":[22],"Signal":[23],"Processing":[24],"(DSP).":[25],"This":[26],"paper":[27],"describes":[28],"our":[29],"work":[30],"on":[31,36],"optimizing":[32],"residue":[33,51],"arithmetic":[34,52,94,142],"units":[35],"platform":[38],"reconfigurable":[40,92],"devices,":[41],"such":[42],"FPGAs.":[44],"First,":[45],"we":[46,62,89],"provide":[47],"improved":[48],"designs":[49,163],"for":[50,97,153,170],"units.":[53],"For":[54],"reverse":[55],"converters":[56],"RNS":[58,93,123,134,162],"to":[59,73,80,128,167],"binary":[60],"numbers,":[61,124],"propose":[63],"novel":[65],"design":[66,77],"that":[67],"uses":[68],"only":[69],"n-bit":[70],"additions.":[71],"Compared":[72],"previous":[74],"work,":[75],"consumes":[78],"up":[79,166],"14.3%":[81],"less":[82],"area":[83],"and":[84,125,135,145],"provides":[85],"lower":[86],"latency.":[87],"Second,":[88],"develop":[90],"library":[95],"generator":[96,117],"moduli":[99],"set":[100],"{2":[101],"<sup":[102,107,112],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[103,108,113],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[104,109,114],"\u22121,":[105],"2":[106,111],",":[110],"+1}.":[115],"The":[116,149],"supports":[118],"wide":[120],"range":[121],"enables":[126],"us":[127],"perform":[129],"an":[130],"extensive":[131],"comparison":[132,150],"between":[133],"other":[136],"representations":[138],"at":[139],"both":[140],"unit":[143],"level":[144],"application":[147],"level.":[148],"shows":[151],"that,":[152],"applications":[154],"involving":[155],"large":[157,171],"multiplications,":[160],"can":[164],"reduce":[165],"1/2":[168],"DSP48s":[169],"bit-width":[172],"settings.":[173]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
