{"id":"https://openalex.org/W2011347140","doi":"https://doi.org/10.1007/bf00929618","title":"An efficient tree architecture for modulo 2 n +1 multiplication","display_name":"An efficient tree architecture for modulo 2 n +1 multiplication","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2011347140","doi":"https://doi.org/10.1007/bf00929618","mag":"2011347140"},"language":"en","primary_location":{"id":"doi:10.1007/bf00929618","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00929618","pdf_url":null,"source":{"id":"https://openalex.org/S4210233059","display_name":"The Journal of VLSI Signal Processing Systems for Signal Image and Video Technology","issn_l":"0922-5773","issn":["0922-5773","1573-109X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of VLSI signal processing systems for signal, image and video technology","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/A5057057095","display_name":"Zhongde Wang","orcid":"https://orcid.org/0000-0002-1330-2644"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Zhongde Wang","raw_affiliation_strings":["University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","University of Windsor, Windsor, Canada N9B 3P4#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"University of Windsor, Windsor, Canada N9B 3P4#TAB#","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007393900","display_name":"G.A. Jullien","orcid":"https://orcid.org/0009-0009-0911-2926"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"G. A. Jullien","raw_affiliation_strings":["University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","University of Windsor, Windsor, Canada N9B 3P4#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"University of Windsor, Windsor, Canada N9B 3P4#TAB#","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114376306","display_name":"William C. Miller","orcid":"https://orcid.org/0000-0003-3060-0210"},"institutions":[{"id":"https://openalex.org/I74413500","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370","country_code":"CA","type":"education","lineage":["https://openalex.org/I74413500"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"W. C. Miller","raw_affiliation_strings":["University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","University of Windsor, Windsor, Canada N9B 3P4#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Windsor, 401 Sunset, N9B 3P4, Windsor, Ontario, Canada","institution_ids":["https://openalex.org/I74413500"]},{"raw_affiliation_string":"University of Windsor, Windsor, Canada N9B 3P4#TAB#","institution_ids":["https://openalex.org/I74413500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I74413500"],"apc_list":null,"apc_paid":null,"fwci":0.5427,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.66850233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"14","issue":"3","first_page":"241","last_page":"248"},"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":0.9994999766349792,"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":0.9994999766349792,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9983999729156494,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.993399977684021,"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/modulo","display_name":"Modulo","score":0.8860613703727722},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"Modular arithmetic","score":0.6799649000167847},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.6206573247909546},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5750539302825928},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.5729479789733887},{"id":"https://openalex.org/keywords/multiplier","display_name":"Multiplier (economics)","score":0.5424566268920898},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.5360742807388306},{"id":"https://openalex.org/keywords/multiplication-algorithm","display_name":"Multiplication algorithm","score":0.5303101539611816},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.517345130443573},{"id":"https://openalex.org/keywords/very-large-scale-integration","display_name":"Very-large-scale integration","score":0.46464869379997253},{"id":"https://openalex.org/keywords/binary-tree","display_name":"Binary tree","score":0.44843074679374695},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40065982937812805},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3728376626968384},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3470662534236908},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24637997150421143},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20421913266181946},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.18800243735313416}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8860613703727722},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.6799649000167847},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.6206573247909546},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5750539302825928},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.5729479789733887},{"id":"https://openalex.org/C124584101","wikidata":"https://www.wikidata.org/wiki/Q1053266","display_name":"Multiplier (economics)","level":2,"score":0.5424566268920898},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.5360742807388306},{"id":"https://openalex.org/C201290732","wikidata":"https://www.wikidata.org/wiki/Q130762","display_name":"Multiplication algorithm","level":3,"score":0.5303101539611816},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.517345130443573},{"id":"https://openalex.org/C14580979","wikidata":"https://www.wikidata.org/wiki/Q876049","display_name":"Very-large-scale integration","level":2,"score":0.46464869379997253},{"id":"https://openalex.org/C197855036","wikidata":"https://www.wikidata.org/wiki/Q380172","display_name":"Binary tree","level":2,"score":0.44843074679374695},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40065982937812805},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3728376626968384},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3470662534236908},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24637997150421143},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20421913266181946},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.18800243735313416},{"id":"https://openalex.org/C139719470","wikidata":"https://www.wikidata.org/wiki/Q39680","display_name":"Macroeconomics","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/C149635348","wikidata":"https://www.wikidata.org/wiki/Q193040","display_name":"Embedded system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/bf00929618","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf00929618","pdf_url":null,"source":{"id":"https://openalex.org/S4210233059","display_name":"The Journal of VLSI Signal Processing Systems for Signal Image and Video Technology","issn_l":"0922-5773","issn":["0922-5773","1573-109X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of VLSI signal processing systems for signal, image and video technology","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.2119","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.2119","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.atips.ca/research/documents/ca/aa/1996_2_pow_n_plus_1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320310709","display_name":"CMC Microsystems","ror":"https://ror.org/03k70ea39"},{"id":"https://openalex.org/F4320311065","display_name":"University of Windsor","ror":"https://ror.org/01gw3d370"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1552148633","https://openalex.org/W1983849809","https://openalex.org/W2010195312","https://openalex.org/W2033351147","https://openalex.org/W2034833016","https://openalex.org/W2035644239","https://openalex.org/W2036820000","https://openalex.org/W2108989775","https://openalex.org/W2113994308","https://openalex.org/W2138031427","https://openalex.org/W2142080379","https://openalex.org/W2148554131","https://openalex.org/W2154098113","https://openalex.org/W2162519216","https://openalex.org/W2168543008","https://openalex.org/W2545689926"],"related_works":["https://openalex.org/W2103593751","https://openalex.org/W2376438797","https://openalex.org/W2977911453","https://openalex.org/W1639853650","https://openalex.org/W2984256396","https://openalex.org/W2108293082","https://openalex.org/W2108989775","https://openalex.org/W2011347140","https://openalex.org/W1479871921","https://openalex.org/W1811219798"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":9}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}