{"id":"https://openalex.org/W4386773811","doi":"https://doi.org/10.1145/3624571","title":"Montgomery Multiplication Scalable Systolic Designs Optimized for DSP48E2","display_name":"Montgomery Multiplication Scalable Systolic Designs Optimized for DSP48E2","publication_year":2023,"publication_date":"2023-09-15","ids":{"openalex":"https://openalex.org/W4386773811","doi":"https://doi.org/10.1145/3624571"},"language":"en","primary_location":{"id":"doi:10.1145/3624571","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3624571","pdf_url":null,"source":{"id":"https://openalex.org/S112809824","display_name":"ACM Transactions on Reconfigurable Technology and Systems","issn_l":"1936-7406","issn":["1936-7406","1936-7414"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Reconfigurable Technology and 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/A5092878491","display_name":"Louis Noyez","orcid":"https://orcid.org/0000-0002-3105-0321"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]},{"id":"https://openalex.org/I4210150049","display_name":"Laboratoire d'\u00c9lectronique des Technologies de l'Information","ror":"https://ror.org/04mf0wv34","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210117989","https://openalex.org/I4210150049"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Louis Noyez","raw_affiliation_strings":["Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France"],"raw_orcid":"https://orcid.org/0000-0002-3105-0321","affiliations":[{"raw_affiliation_string":"Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France","institution_ids":["https://openalex.org/I4210150049","https://openalex.org/I2738703131","https://openalex.org/I3019848993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015328900","display_name":"Nadia El Mrabet","orcid":"https://orcid.org/0000-0003-3840-584X"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]},{"id":"https://openalex.org/I4210150049","display_name":"Laboratoire d'\u00c9lectronique des Technologies de l'Information","ror":"https://ror.org/04mf0wv34","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210117989","https://openalex.org/I4210150049"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Nadia El Mrabet","raw_affiliation_strings":["Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France"],"raw_orcid":"https://orcid.org/0000-0003-3840-584X","affiliations":[{"raw_affiliation_string":"Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France","institution_ids":["https://openalex.org/I4210150049","https://openalex.org/I2738703131","https://openalex.org/I3019848993"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033383288","display_name":"Olivier Potin","orcid":"https://orcid.org/0000-0001-9110-2800"},"institutions":[{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I3019848993","display_name":"Mines Saint-\u00c9tienne","ror":"https://ror.org/05a1dws80","country_code":"FR","type":"education","lineage":["https://openalex.org/I203339264","https://openalex.org/I205703379","https://openalex.org/I3019848993"]},{"id":"https://openalex.org/I4210150049","display_name":"Laboratoire d'\u00c9lectronique des Technologies de l'Information","ror":"https://ror.org/04mf0wv34","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131","https://openalex.org/I2738703131","https://openalex.org/I4210117989","https://openalex.org/I4210150049"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Olivier Potin","raw_affiliation_strings":["Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France"],"raw_orcid":"https://orcid.org/0000-0001-9110-2800","affiliations":[{"raw_affiliation_string":"Mines Saint-Etienne, CEA, Leti, Centre CMP, F\u201413541 Gardanne, France","institution_ids":["https://openalex.org/I4210150049","https://openalex.org/I2738703131","https://openalex.org/I3019848993"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5023817947","display_name":"Pascal V\u00e9ron","orcid":"https://orcid.org/0000-0001-7610-6870"},"institutions":[{"id":"https://openalex.org/I143002897","display_name":"Universit\u00e9 de Toulon","ror":"https://ror.org/02m9kbe37","country_code":"FR","type":"education","lineage":["https://openalex.org/I143002897"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Pascal Veron","raw_affiliation_strings":["Laboratoire IMath, Universit\u00e9 de Toulon, Toulon, France"],"raw_orcid":"https://orcid.org/0000-0001-7610-6870","affiliations":[{"raw_affiliation_string":"Laboratoire IMath, Universit\u00e9 de Toulon, Toulon, France","institution_ids":["https://openalex.org/I143002897"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.1568,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.90141443,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"17","issue":"1","first_page":"1","last_page":"31"},"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":0.9966999888420105,"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":0.9909999966621399,"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/computer-science","display_name":"Computer science","score":0.8671492338180542},{"id":"https://openalex.org/keywords/operand","display_name":"Operand","score":0.782721996307373},{"id":"https://openalex.org/keywords/scalability","display_name":"Scalability","score":0.7333119511604309},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.6722782850265503},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.6397514343261719},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.614646315574646},{"id":"https://openalex.org/keywords/scheduling","display_name":"Scheduling (production processes)","score":0.5707077980041504},{"id":"https://openalex.org/keywords/systolic-array","display_name":"Systolic array","score":0.5468754768371582},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.5115383863449097},{"id":"https://openalex.org/keywords/implementation","display_name":"Implementation","score":0.48581767082214355},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.4617837071418762},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.44179975986480713},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4315348267555237},{"id":"https://openalex.org/keywords/emulation","display_name":"Emulation","score":0.4171912670135498},{"id":"https://openalex.org/keywords/computer-architecture","display_name":"Computer architecture","score":0.391473650932312},{"id":"https://openalex.org/keywords/embedded-system","display_name":"Embedded system","score":0.33875763416290283},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.23661646246910095},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.15274927020072937},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10091158747673035},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.08280247449874878}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8671492338180542},{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.782721996307373},{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.7333119511604309},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.6722782850265503},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.6397514343261719},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.614646315574646},{"id":"https://openalex.org/C206729178","wikidata":"https://www.wikidata.org/wiki/Q2271896","display_name":"Scheduling (production processes)","level":2,"score":0.5707077980041504},{"id":"https://openalex.org/C150741067","wikidata":"https://www.wikidata.org/wiki/Q2377218","display_name":"Systolic array","level":3,"score":0.5468754768371582},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.5115383863449097},{"id":"https://openalex.org/C26713055","wikidata":"https://www.wikidata.org/wiki/Q245962","display_name":"Implementation","level":2,"score":0.48581767082214355},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.4617837071418762},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.44179975986480713},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4315348267555237},{"id":"https://openalex.org/C149810388","wikidata":"https://www.wikidata.org/wiki/Q5374873","display_name":"Emulation","level":2,"score":0.4171912670135498},{"id":"https://openalex.org/C118524514","wikidata":"https://www.wikidata.org/wiki/Q173212","display_name":"Computer architecture","level":1,"score":0.391473650932312},{"id":"https://openalex.org/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.33875763416290283},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.23661646246910095},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.15274927020072937},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10091158747673035},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.08280247449874878},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/3624571","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3624571","pdf_url":null,"source":{"id":"https://openalex.org/S112809824","display_name":"ACM Transactions on Reconfigurable Technology and Systems","issn_l":"1936-7406","issn":["1936-7406","1936-7414"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Reconfigurable Technology and Systems","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04212498v1","is_oa":false,"landing_page_url":"https://hal.science/hal-04212498","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ACM Transactions on Reconfigurable Technology and Systems (TRETS), In press, ⟨10.1145/3624571⟩","raw_type":"Journal articles"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W32061769","https://openalex.org/W1893601685","https://openalex.org/W1971605365","https://openalex.org/W2004814164","https://openalex.org/W2036378739","https://openalex.org/W2042646393","https://openalex.org/W2118738175","https://openalex.org/W2138917317","https://openalex.org/W2151163104","https://openalex.org/W2553779457","https://openalex.org/W2948829558","https://openalex.org/W2979615834","https://openalex.org/W3110374082","https://openalex.org/W4205243679","https://openalex.org/W4205846793","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W2089343558","https://openalex.org/W2015084332","https://openalex.org/W2403291794","https://openalex.org/W2525693927","https://openalex.org/W4388562200","https://openalex.org/W1998028015","https://openalex.org/W2084130214","https://openalex.org/W3086669545","https://openalex.org/W2084237055","https://openalex.org/W1863128662"],"abstract_inverted_index":{"This":[0],"article":[1],"describes":[2],"an":[3],"extensive":[4],"study":[5],"of":[6,9,19,28,41,49,57,65,78,87,93,112],"the":[7,20,25,45,50,55,85],"use":[8],"DSP48E2":[10],"Slices":[11],"in":[12,37,76,140],"Ultrascale":[13],"FPGAs":[14],"to":[15,44,90,108,119],"design":[16,71],"hardware":[17,26],"versions":[18],"Montgomery":[21,51,137],"Multiplication":[22],"algorithm":[23],"for":[24],"acceleration":[27],"modular":[29,138],"multiplications.":[30],"Our":[31,123],"fully":[32,102],"scalable":[33,118],"systolic":[34],"architectures":[35],"result":[36],"parallelized,":[38],"DSP48E2-optimized":[39],"scheduling":[40,64],"operations":[42],"analogous":[43],"FIOS":[46],"block":[47],"variant":[48],"Multiplication.":[52],"We":[53,83,96],"explore":[54],"impacts":[56],"different":[58],"pipelining":[59],"strategies":[60],"within":[61],"DSP":[62,94,161],"blocks,":[63,162],"operations,":[66],"processing":[67],"element":[68],"configurations,":[69],"global":[70],"structures":[72],"and":[73,80,101,114,134,150,159],"their":[74],"tradeoffs":[75],"terms":[77],"performance":[79],"resource":[81],"costs.":[82],"discuss":[84],"application":[86],"our":[88],"methodology":[89],"multiple":[91],"types":[92],"primitives.":[95],"provide":[97],"ready-to-use":[98],"fast,":[99],"efficient,":[100],"parametrizable":[103],"designs,":[104],"which":[105],"can":[106,127],"adapt":[107],"a":[109],"wide":[110],"range":[111],"requirements":[113],"applications.":[115],"Implementations":[116],"are":[117],"any":[120],"operand":[121],"width.":[122],"most":[124],"efficient":[125],"designs":[126],"perform":[128],"128,":[129],"256,":[130],"512,":[131],"1024,":[132],"2048,":[133],"4096":[135],"bits":[136],"multiplications":[139],"0.0992":[141],"\u03bcs,":[142,144,146,149],"0.2032":[143],"0.3952":[145],"0.7792\u03bcs,":[147],"1.550":[148],"3.099":[151],"\u03bcs":[152],"using":[153],"4,":[154],"6,":[155],"11,":[156],"21,":[157],"41,":[158],"82":[160],"respectively.":[163]},"counts_by_year":[{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}