{"id":"https://openalex.org/W2117691667","doi":"https://doi.org/10.1109/arith.2003.1207657","title":"A less recursive variant of Karatsuba-Ofman algorithm for multiplying operands of size a power of two","display_name":"A less recursive variant of Karatsuba-Ofman algorithm for multiplying operands of size a power of two","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2117691667","doi":"https://doi.org/10.1109/arith.2003.1207657","mag":"2117691667"},"language":"en","primary_location":{"id":"doi:10.1109/arith.2003.1207657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207657","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":"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/A5084241552","display_name":"Serdar S\u00fcer Erdem","orcid":"https://orcid.org/0000-0002-9637-583X"},"institutions":[{"id":"https://openalex.org/I4210124062","display_name":"T\u00fcbitak National Metrology Institute","ror":"https://ror.org/02zcjdk53","country_code":"TR","type":"facility","lineage":["https://openalex.org/I4210124062"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"S.S. Erdem","raw_affiliation_strings":["Elektronik M\u00fchendisli\u011fi B\u00f6l\u00fcm\u00fc, Gebze Y\u00fcksek Teknoloji Enstit\u00fcs\u00fc, Gebze, Kocaeli, Turkey","Elektronik Muhendisligi Bolumu, Gebze Yuksek Teknoloji Enstitusu, Turkey"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Elektronik M\u00fchendisli\u011fi B\u00f6l\u00fcm\u00fc, Gebze Y\u00fcksek Teknoloji Enstit\u00fcs\u00fc, Gebze, Kocaeli, Turkey","institution_ids":["https://openalex.org/I4210124062"]},{"raw_affiliation_string":"Elektronik Muhendisligi Bolumu, Gebze Yuksek Teknoloji Enstitusu, Turkey","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018100877","display_name":"\u00c7etin Kaya Ko\u00e7","orcid":"https://orcid.org/0000-0002-2572-9565"},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.K. Koc","raw_affiliation_strings":["Electrical & Computer Engineering, Oregon State University, Corvallis, OR, USA","Oregon State University>"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical & Computer Engineering, Oregon State University, Corvallis, OR, USA","institution_ids":["https://openalex.org/I131249849"]},{"raw_affiliation_string":"Oregon State University>","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"28","last_page":"35"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","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/T11130","display_name":"Coding theory and cryptography","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":0.9993000030517578,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"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/operand","display_name":"Operand","score":0.9154555201530457},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6122748255729675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6072274446487427},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5885455012321472},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5743355751037598},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.5318911671638489},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4425487518310547},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.430139422416687},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3918108344078064},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3256053924560547},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13990971446037292}],"concepts":[{"id":"https://openalex.org/C55526617","wikidata":"https://www.wikidata.org/wiki/Q719375","display_name":"Operand","level":2,"score":0.9154555201530457},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6122748255729675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6072274446487427},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5885455012321472},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5743355751037598},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.5318911671638489},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4425487518310547},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.430139422416687},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3918108344078064},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3256053924560547},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13990971446037292},{"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/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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/arith.2003.1207657","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207657","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.72.4572","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.72.4572","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.acsel-lab.com/arithmetic/arith16/papers/ARITH16_Erdem.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":15,"referenced_works":["https://openalex.org/W1533109342","https://openalex.org/W1649758727","https://openalex.org/W1660562555","https://openalex.org/W1981663184","https://openalex.org/W1996360405","https://openalex.org/W2156186849","https://openalex.org/W2752061190","https://openalex.org/W2752853835","https://openalex.org/W2752885492","https://openalex.org/W4232836212","https://openalex.org/W6631874875","https://openalex.org/W6636949950","https://openalex.org/W6636975353","https://openalex.org/W6744529318","https://openalex.org/W7029321148"],"related_works":["https://openalex.org/W2089343558","https://openalex.org/W2015084332","https://openalex.org/W2090865818","https://openalex.org/W2204275588","https://openalex.org/W2047405250","https://openalex.org/W4240897725","https://openalex.org/W2015194765","https://openalex.org/W2039921003","https://openalex.org/W2403291794","https://openalex.org/W2525693927"],"abstract_inverted_index":{"We":[0],"propose":[1],"a":[2,12],"new":[3,43],"algorithm":[4,24,44],"for":[5],"fast":[6],"multiplication":[7],"of":[8,14,41],"large":[9],"integers":[10],"having":[11],"precision":[13],"1k":[15],"computer":[16],"words,":[17],"where":[18],"k":[19],"is":[20,25,45],"an":[21],"integer.":[22],"The":[23],"derived":[26],"from":[27],"the":[28,33,38,42],"Karatsuba-Ofman":[29],"Algorithm":[30],"and":[31,48],"has":[32],"same":[34],"asymptotic":[35],"complexity.":[36],"However,":[37],"running":[39],"time":[40],"slightly":[46],"better,":[47],"it":[49],"makes":[50],"one":[51],"third":[52],"as":[53],"many":[54],"recursive":[55],"calls.":[56]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
