{"id":"https://openalex.org/W1997940838","doi":"https://doi.org/10.1109/dsd.2010.32","title":"Optimization of Area and Delay at Gate-Level in Multiple Constant Multiplications","display_name":"Optimization of Area and Delay at Gate-Level in Multiple Constant Multiplications","publication_year":2010,"publication_date":"2010-09-01","ids":{"openalex":"https://openalex.org/W1997940838","doi":"https://doi.org/10.1109/dsd.2010.32","mag":"1997940838"},"language":"en","primary_location":{"id":"doi:10.1109/dsd.2010.32","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsd.2010.32","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 13th Euromicro Conference on Digital System Design: Architectures, Methods and Tools","raw_type":"proceedings-article"},"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/A5089933848","display_name":"Levent Aksoy","orcid":"https://orcid.org/0000-0001-6129-9657"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Levent Aksoy","raw_affiliation_strings":["INESC ID, Lisboa, Portugal","INESC-id, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INESC ID, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-id, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074598853","display_name":"Eduardo Costa","orcid":"https://orcid.org/0000-0003-0521-5898"},"institutions":[{"id":"https://openalex.org/I110676245","display_name":"Universidade Cat\u00f3lica de Pelotas","ror":"https://ror.org/0376myh60","country_code":"BR","type":"education","lineage":["https://openalex.org/I110676245"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Eduardo Costa","raw_affiliation_strings":["Universidade Cat\u00f3lica de Pelotas, Pelotas, Brazil","Univ. Catolica de Pelotas, Pelotas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universidade Cat\u00f3lica de Pelotas, Pelotas, Brazil","institution_ids":["https://openalex.org/I110676245"]},{"raw_affiliation_string":"Univ. Catolica de Pelotas, Pelotas, Brazil","institution_ids":["https://openalex.org/I110676245"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5002334825","display_name":"Paulo Flores","orcid":"https://orcid.org/0000-0003-2970-3589"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paulo Flores","raw_affiliation_strings":["INESC ID/IST-TU Lisbon, Lisboa, Portugal","INESC-ID/IST, Tech. Univ. Lisbon, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INESC ID/IST-TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-ID/IST, Tech. Univ. Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039448613","display_name":"Jos\u00e9 Monteiro","orcid":"https://orcid.org/0000-0003-0603-2268"},"institutions":[{"id":"https://openalex.org/I121345201","display_name":"Instituto de Engenharia de Sistemas e Computadores Investiga\u00e7\u00e3o e Desenvolvimento","ror":"https://ror.org/04mqy3p58","country_code":"PT","type":"nonprofit","lineage":["https://openalex.org/I121345201","https://openalex.org/I4210125590"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jose Monteiro","raw_affiliation_strings":["INESC ID/IST-TU Lisbon, Lisboa, Portugal","INESC-ID/IST, Tech. Univ. Lisbon, Lisboa, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INESC ID/IST-TU Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]},{"raw_affiliation_string":"INESC-ID/IST, Tech. Univ. Lisbon, Lisboa, Portugal","institution_ids":["https://openalex.org/I121345201"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6006,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.82802383,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"3","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.9994000196456909,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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":0.9977999925613403,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9975000023841858,"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/computer-science","display_name":"Computer science","score":0.639514684677124},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5890585780143738},{"id":"https://openalex.org/keywords/subtraction","display_name":"Subtraction","score":0.552749752998352},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.513864278793335},{"id":"https://openalex.org/keywords/high-level-synthesis","display_name":"High-level synthesis","score":0.4939618706703186},{"id":"https://openalex.org/keywords/gate-count","display_name":"Gate count","score":0.4541875123977661},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.45281994342803955},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4023877680301666},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.363267183303833},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.35056185722351074},{"id":"https://openalex.org/keywords/computer-engineering","display_name":"Computer engineering","score":0.32333964109420776},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2475198209285736},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18141400814056396},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.16559523344039917},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.11254644393920898}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.639514684677124},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5890585780143738},{"id":"https://openalex.org/C68060419","wikidata":"https://www.wikidata.org/wiki/Q40754","display_name":"Subtraction","level":2,"score":0.552749752998352},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.513864278793335},{"id":"https://openalex.org/C58013763","wikidata":"https://www.wikidata.org/wiki/Q5754574","display_name":"High-level synthesis","level":3,"score":0.4939618706703186},{"id":"https://openalex.org/C2777892113","wikidata":"https://www.wikidata.org/wiki/Q5527005","display_name":"Gate count","level":2,"score":0.4541875123977661},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.45281994342803955},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4023877680301666},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.363267183303833},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.35056185722351074},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.32333964109420776},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2475198209285736},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18141400814056396},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.16559523344039917},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.11254644393920898},{"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/dsd.2010.32","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dsd.2010.32","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 13th Euromicro Conference on Digital System Design: Architectures, Methods and Tools","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.613.9537","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.613.9537","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://algos.inesc-id.pt/~levent/publications/dsd10.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","score":0.4300000071525574,"display_name":"Industry, innovation and infrastructure"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1569002003","https://openalex.org/W2001254103","https://openalex.org/W2020842839","https://openalex.org/W2073419265","https://openalex.org/W2099181277","https://openalex.org/W2103244632","https://openalex.org/W2105101187","https://openalex.org/W2117373759","https://openalex.org/W2130846531","https://openalex.org/W2131256658","https://openalex.org/W2134126310","https://openalex.org/W2154656381","https://openalex.org/W2164339744","https://openalex.org/W2165837912","https://openalex.org/W2916844179","https://openalex.org/W3150929007"],"related_works":["https://openalex.org/W2090049157","https://openalex.org/W2022544890","https://openalex.org/W2394097730","https://openalex.org/W1976835164","https://openalex.org/W2134771946","https://openalex.org/W2043523297","https://openalex.org/W2475378634","https://openalex.org/W4282568311","https://openalex.org/W2951473296","https://openalex.org/W4288420200"],"abstract_inverted_index":{"Although":[0],"many":[1],"efficient":[2,53],"high-level":[3],"algorithms":[4,122,137],"have":[5],"been":[6],"proposed":[7,101,121],"for":[8,139],"the":[9,17,29,36,43,60,63,77,83,92,100,107,120,135,140,143,148],"realization":[10],"of":[11,20,42,62,85,142,145,150],"Multiple":[12],"Constant":[13],"Multiplications":[14],"(MCM)":[15],"using":[16],"fewest":[18],"number":[19,144],"addition":[21,54],"and":[22,39,55,94,125,147],"subtraction":[23,56],"operations,":[24],"they":[25],"do":[26],"not":[27],"consider":[28],"low-level":[30],"implementation":[31],"issues":[32],"that":[33,71,119],"directly":[34],"affect":[35],"area,":[37],"delay,":[38],"power":[40],"dissipation":[41],"MCM":[44,64,74,98,127],"design.":[45],"In":[46],"this":[47],"paper,":[48],"we":[49,67],"initially":[50],"present":[51],"area":[52,79,93,109,151],"architectures":[57],"used":[58],"in":[59,97],"design":[61,75],"operation.":[65],"Then,":[66],"propose":[68],"an":[69,73],"algorithm":[70,102],"searches":[72],"with":[76,129],"smallest":[78,108],"taking":[80],"into":[81],"account":[82],"cost":[84],"each":[86],"operation":[87],"at":[88,152],"gate-level.":[89,153],"To":[90],"address":[91],"delay":[95,113],"tradeoff":[96],"design,":[99],"is":[103],"improved":[104],"to":[105,131],"find":[106],"solution":[110],"under":[111],"a":[112],"constraint.":[114],"The":[115],"experimental":[116],"results":[117],"show":[118],"yield":[123],"low-complexity":[124],"high-speed":[126],"designs":[128],"respect":[130],"those":[132],"obtained":[133],"by":[134],"prominent":[136],"designed":[138],"optimization":[141,149],"operations":[146]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
