{"id":"https://openalex.org/W2744819086","doi":"https://doi.org/10.1109/newcas.2017.8010156","title":"A variable RADIX-2<sup>r</sup>algorithm for single constant multiplication","display_name":"A variable RADIX-2<sup>r</sup>algorithm for single constant multiplication","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2744819086","doi":"https://doi.org/10.1109/newcas.2017.8010156","mag":"2744819086"},"language":"en","primary_location":{"id":"doi:10.1109/newcas.2017.8010156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/newcas.2017.8010156","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 15th IEEE International New Circuits and Systems Conference (NEWCAS)","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/A5037309390","display_name":"Ahmed Liacha","orcid":"https://orcid.org/0000-0001-9142-4973"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"id":"https://openalex.org/I4210102186","display_name":"Centre de D\u00e9veloppement des Technologies Avanc\u00e9es","ror":"https://ror.org/01ay87255","country_code":"DZ","type":"facility","lineage":["https://openalex.org/I4210102186"]},{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]},{"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"]},{"id":"https://openalex.org/I192268740","display_name":"University of Algiers Benyoucef Benkhedda","ror":"https://ror.org/011r6gp69","country_code":"DZ","type":"education","lineage":["https://openalex.org/I192268740"]}],"countries":["DZ","PT"],"is_corresponding":true,"raw_author_name":"Ahmed Liacha","raw_affiliation_strings":["CDTA, System Architecture and Multimedia Division, Baba-Hassen, Algiers, Algeria","INESC-ID/IST, Universidade de Lisboa, Lisbon, Portugal","USTHB, LRPE Laboratory, Algiers, Algeria"],"affiliations":[{"raw_affiliation_string":"CDTA, System Architecture and Multimedia Division, Baba-Hassen, Algiers, Algeria","institution_ids":["https://openalex.org/I4210102186"]},{"raw_affiliation_string":"INESC-ID/IST, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I121345201","https://openalex.org/I141596103"]},{"raw_affiliation_string":"USTHB, LRPE Laboratory, Algiers, Algeria","institution_ids":["https://openalex.org/I192268740","https://openalex.org/I157169809"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023220437","display_name":"Abdelkrim K. Oudjida","orcid":"https://orcid.org/0000-0003-2923-7258"},"institutions":[{"id":"https://openalex.org/I4210102186","display_name":"Centre de D\u00e9veloppement des Technologies Avanc\u00e9es","ror":"https://ror.org/01ay87255","country_code":"DZ","type":"facility","lineage":["https://openalex.org/I4210102186"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Abdelkrim K. Oudjida","raw_affiliation_strings":["CDTA, System Architecture and Multimedia Division, Baba-Hassen, Algiers, Algeria"],"affiliations":[{"raw_affiliation_string":"CDTA, System Architecture and Multimedia Division, Baba-Hassen, Algiers, Algeria","institution_ids":["https://openalex.org/I4210102186"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080803368","display_name":"Farid Ferguene","orcid":null},"institutions":[{"id":"https://openalex.org/I192268740","display_name":"University of Algiers Benyoucef Benkhedda","ror":"https://ror.org/011r6gp69","country_code":"DZ","type":"education","lineage":["https://openalex.org/I192268740"]},{"id":"https://openalex.org/I157169809","display_name":"University of Sciences and Technology Houari Boumediene","ror":"https://ror.org/02kb89c09","country_code":"DZ","type":"education","lineage":["https://openalex.org/I157169809"]}],"countries":["DZ"],"is_corresponding":false,"raw_author_name":"Farid Ferguene","raw_affiliation_strings":["USTHB, LRPE Laboratory, Algiers, Algeria"],"affiliations":[{"raw_affiliation_string":"USTHB, LRPE Laboratory, Algiers, Algeria","institution_ids":["https://openalex.org/I192268740","https://openalex.org/I157169809"]}]},{"author_position":"middle","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"]},{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Jose Monteiro","raw_affiliation_strings":["INESC-ID/IST, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"INESC-ID/IST, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I121345201","https://openalex.org/I141596103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002334825","display_name":"Paulo Flores","orcid":"https://orcid.org/0000-0003-2970-3589"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]},{"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, Universidade de Lisboa, Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"INESC-ID/IST, Universidade de Lisboa, Lisbon, Portugal","institution_ids":["https://openalex.org/I121345201","https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5037309390"],"corresponding_institution_ids":["https://openalex.org/I121345201","https://openalex.org/I141596103","https://openalex.org/I157169809","https://openalex.org/I192268740","https://openalex.org/I4210102186"],"apc_list":null,"apc_paid":null,"fwci":0.2271,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.55280318,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"265","last_page":"268"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9994000196456909,"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"}},{"id":"https://openalex.org/T10363","display_name":"Low-power high-performance VLSI design","score":0.9991000294685364,"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/T11034","display_name":"Digital Filter Design and Implementation","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/radix","display_name":"Radix (gastropod)","score":0.6393260359764099},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5070357322692871},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4968431293964386},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.4921371340751648},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.49071991443634033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38766929507255554},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3812931478023529},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3249132037162781},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28463077545166016}],"concepts":[{"id":"https://openalex.org/C2779091547","wikidata":"https://www.wikidata.org/wiki/Q287565","display_name":"Radix (gastropod)","level":2,"score":0.6393260359764099},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5070357322692871},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4968431293964386},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.4921371340751648},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.49071991443634033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38766929507255554},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3812931478023529},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3249132037162781},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28463077545166016},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/newcas.2017.8010156","is_oa":false,"landing_page_url":"https://doi.org/10.1109/newcas.2017.8010156","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 15th IEEE International New Circuits and Systems Conference (NEWCAS)","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":18,"referenced_works":["https://openalex.org/W1530881390","https://openalex.org/W1574449651","https://openalex.org/W1590193206","https://openalex.org/W1955859268","https://openalex.org/W1971659206","https://openalex.org/W1986644367","https://openalex.org/W2001254103","https://openalex.org/W2072656343","https://openalex.org/W2073419265","https://openalex.org/W2099124997","https://openalex.org/W2099181277","https://openalex.org/W2131256658","https://openalex.org/W2153326041","https://openalex.org/W2154656381","https://openalex.org/W2165837912","https://openalex.org/W2281085433","https://openalex.org/W2561934809","https://openalex.org/W6682711339"],"related_works":["https://openalex.org/W2412254868","https://openalex.org/W2036954759","https://openalex.org/W2057797376","https://openalex.org/W2090319426","https://openalex.org/W2511986722","https://openalex.org/W2506252583","https://openalex.org/W2048249848","https://openalex.org/W2260716361","https://openalex.org/W1987422982","https://openalex.org/W2029054571"],"abstract_inverted_index":{"In":[0,34],"previous":[1],"work,":[2],"a":[3,13,23,39,54,68,84],"fully":[4],"predictable":[5],"sub-linear":[6],"runtime":[7],"heuristic":[8],"for":[9,112,132,155],"the":[10,74,80,136],"multiplication":[11,42,82],"by":[12],"constant":[14,41,81],"based":[15,44],"on":[16,46],"Radix-2":[17,47],"<sup":[18,30,48,63,93,109,120,129,152],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[19,31,49,64,94,110,121,130,153],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">r</sup>":[20,32,50,65,95,111,122,131,154],"arithmetic":[21,51],"using":[22],"fixed":[24],"radix":[25,70],"was":[26],"developed,":[27],"called":[28],"RADIX-2":[29,62,92,108,119,128,151],".":[33],"this":[35],"paper,":[36],"we":[37],"introduce":[38],"new":[40,58,91],"algorithm":[43,124],"also":[45],"but":[52],"considering":[53],"variable":[55,69],"radix.":[56],"The":[57,90,118],"version":[59],"is":[60,88,125,148],"named":[61],"-VAR.":[66],"Using":[67],"allows":[71],"to":[72],"optimize":[73],"average":[75,100,137],"number":[76,138],"of":[77,101,135,139,144],"additions":[78,106],"in":[79],"since":[83],"larger":[85],"search":[86],"space":[87],"explored.":[89],"-VAR":[96,123],"recoding":[97],"requires":[98],"an":[99],"4.4%":[102],"and":[103,114,146,157],"2.2%":[104],"less":[105],"than":[107],"24":[113,156],"32":[115,158],"bits,":[116,159],"respectively.":[117,160],"combined":[126],"with":[127],"more":[133],"improvements":[134],"additions.":[140],"An":[141],"overall":[142],"saving":[143],"6.7%":[145],"5.5%":[147],"obtained":[149],"over":[150]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}