{"id":"https://openalex.org/W2121676811","doi":"https://doi.org/10.1109/arith.2003.1207656","title":"Some optimizations of hardware multiplication by constant matrices","display_name":"Some optimizations of hardware multiplication by constant matrices","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2121676811","doi":"https://doi.org/10.1109/arith.2003.1207656","mag":"2121676811"},"language":"en","primary_location":{"id":"doi:10.1109/arith.2003.1207656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings.","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/A5037780103","display_name":"Nicolas Boullis","orcid":null},"institutions":[{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"N. Boullis","raw_affiliation_strings":["Ar\u00e9naire Project (CNRS-ENSL-INRIA-UCBL) LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, Lyon, France","LIP,\u00c9cole Normale Sup\u00e9rieure de Lyon France#TAB#"],"affiliations":[{"raw_affiliation_string":"Ar\u00e9naire Project (CNRS-ENSL-INRIA-UCBL) LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP,\u00c9cole Normale Sup\u00e9rieure de Lyon France#TAB#","institution_ids":["https://openalex.org/I113428412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5042560711","display_name":"Arnaud Tisserand","orcid":"https://orcid.org/0000-0001-7042-3541"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I100532134","display_name":"Universit\u00e9 Claude Bernard Lyon 1","ror":"https://ror.org/029brtt94","country_code":"FR","type":"education","lineage":["https://openalex.org/I100532134","https://openalex.org/I203339264"]},{"id":"https://openalex.org/I113428412","display_name":"\u00c9cole Normale Sup\u00e9rieure de Lyon","ror":"https://ror.org/04zmssz18","country_code":"FR","type":"education","lineage":["https://openalex.org/I113428412","https://openalex.org/I203339264"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"A. Tisserand","raw_affiliation_strings":["Ar\u00e9naire Project (CNRS-ENSL-INRIA-UCBL) LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, Lyon, France","LIP,\u00c9cole Normale Sup\u00e9rieure de Lyon France#TAB#"],"affiliations":[{"raw_affiliation_string":"Ar\u00e9naire Project (CNRS-ENSL-INRIA-UCBL) LIP, \u00c9cole Normale Sup\u00e9rieure de Lyon, Lyon, France","institution_ids":["https://openalex.org/I113428412","https://openalex.org/I1326498283","https://openalex.org/I100532134","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"LIP,\u00c9cole Normale Sup\u00e9rieure de Lyon France#TAB#","institution_ids":["https://openalex.org/I113428412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5037780103"],"corresponding_institution_ids":["https://openalex.org/I100532134","https://openalex.org/I113428412","https://openalex.org/I1294671590","https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.6458,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.84308832,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":null,"first_page":"20","last_page":"27"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9979000091552734,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.8293576240539551},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.7162690162658691},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.6965928077697754},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6796087026596069},{"id":"https://openalex.org/keywords/vhdl","display_name":"VHDL","score":0.566058337688446},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.5436316132545471},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5039820075035095},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.4999239444732666},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4869171380996704},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.4324970841407776},{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.4192861318588257},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.31336909532546997},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3025891184806824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22673794627189636},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.15588980913162231},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.15468460321426392},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.09680137038230896}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.8293576240539551},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.7162690162658691},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.6965928077697754},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6796087026596069},{"id":"https://openalex.org/C36941000","wikidata":"https://www.wikidata.org/wiki/Q209455","display_name":"VHDL","level":3,"score":0.566058337688446},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.5436316132545471},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5039820075035095},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.4999239444732666},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4869171380996704},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.4324970841407776},{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.4192861318588257},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.31336909532546997},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3025891184806824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22673794627189636},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.15588980913162231},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.15468460321426392},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.09680137038230896},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/arith.2003.1207656","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207656","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W357715494","https://openalex.org/W1493729034","https://openalex.org/W1594799231","https://openalex.org/W1594843402","https://openalex.org/W1609071433","https://openalex.org/W1965846060","https://openalex.org/W1986644367","https://openalex.org/W2026445983","https://openalex.org/W2070999222","https://openalex.org/W2096479326","https://openalex.org/W2107682692","https://openalex.org/W2111734461","https://openalex.org/W2113237612","https://openalex.org/W2117373759","https://openalex.org/W2119529071","https://openalex.org/W2120173944","https://openalex.org/W2129826011","https://openalex.org/W2130846531","https://openalex.org/W2139906875","https://openalex.org/W2154656381","https://openalex.org/W2159596498","https://openalex.org/W2161857572","https://openalex.org/W2164910164","https://openalex.org/W2166253249","https://openalex.org/W2279760154","https://openalex.org/W2916844179","https://openalex.org/W4237771121","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2596457687","https://openalex.org/W2350191890","https://openalex.org/W3099313426","https://openalex.org/W752783541","https://openalex.org/W4287593139","https://openalex.org/W1516189266","https://openalex.org/W2093666864","https://openalex.org/W4378602953","https://openalex.org/W4312443197","https://openalex.org/W2561934809"],"abstract_inverted_index":{"We":[0,13],"present":[1],"some":[2],"improvements":[3],"on":[4,15,40,58,64],"the":[5,16],"optimization":[6],"of":[7,19,29],"hardware":[8],"multiplication":[9,25,28],"by":[10,32],"constant":[11,23,34],"matrices.":[12],"focus":[14],"automatic":[17],"generation":[18],"circuits":[20],"that":[21],"involve":[22],"matrix":[24],"(CMM),":[26],"i.e.":[27],"a":[30,33,52],"vector":[31],"matrix.":[35],"The":[36,55],"proposed":[37],"method,":[38],"based":[39],"number":[41],"recoding":[42],"and":[43,66,75],"dedicated":[44],"common":[45],"sub-expression":[46],"factorization":[47],"algorithms":[48],"was":[49],"implemented":[50,63],"in":[51],"VHDL":[53],"generator.":[54],"obtained":[56],"results":[57],"several":[59],"applications":[60],"have":[61],"been":[62],"FPGAs":[65],"compared":[67],"to":[68,72],"previous":[69],"solutions.":[70],"Up":[71],"40%":[73],"area":[74],"speed":[76],"savings":[77],"are":[78],"achieved.":[79]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
