{"id":"https://openalex.org/W1862624742","doi":"https://doi.org/10.1109/icassp.1979.1170664","title":"Hardware implementation of convolution using number theoretic transforms","display_name":"Hardware implementation of convolution using number theoretic transforms","publication_year":2005,"publication_date":"2005-03-24","ids":{"openalex":"https://openalex.org/W1862624742","doi":"https://doi.org/10.1109/icassp.1979.1170664","mag":"1862624742"},"language":"en","primary_location":{"id":"doi:10.1109/icassp.1979.1170664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1979.1170664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '79. IEEE International Conference on Acoustics, Speech, and Signal Processing","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/A5077980938","display_name":"A. Baraniecka","orcid":null},"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":"A. Baraniecka","raw_affiliation_strings":["Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada","institution_ids":["https://openalex.org/I74413500"]}]},{"author_position":"last","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. Jullien","raw_affiliation_strings":["Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, University of Windsor, Windsor, ONT, Canada","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":0.7499,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69948187,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"490","last_page":"493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9990000128746033,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.9990000128746033,"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":0.5395215749740601},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.539038896560669},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43800896406173706},{"id":"https://openalex.org/keywords/gaussian","display_name":"Gaussian","score":0.41530823707580566},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4124966561794281},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3830673396587372},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3540288209915161},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3531656265258789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3065049648284912},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.14940553903579712},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07803168892860413},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07798916101455688}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5395215749740601},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.539038896560669},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43800896406173706},{"id":"https://openalex.org/C163716315","wikidata":"https://www.wikidata.org/wiki/Q901177","display_name":"Gaussian","level":2,"score":0.41530823707580566},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4124966561794281},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3830673396587372},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3540288209915161},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3531656265258789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3065049648284912},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.14940553903579712},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07803168892860413},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07798916101455688},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icassp.1979.1170664","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icassp.1979.1170664","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ICASSP '79. IEEE International Conference on Acoustics, Speech, and Signal Processing","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":12,"referenced_works":["https://openalex.org/W1489433220","https://openalex.org/W1967182550","https://openalex.org/W1982022511","https://openalex.org/W2059569686","https://openalex.org/W2069448237","https://openalex.org/W2093794779","https://openalex.org/W2095296829","https://openalex.org/W2104943391","https://openalex.org/W2145977593","https://openalex.org/W4212899991","https://openalex.org/W4231392465","https://openalex.org/W4239280186"],"related_works":["https://openalex.org/W4236696095","https://openalex.org/W3143779693","https://openalex.org/W2626808643","https://openalex.org/W2004064826","https://openalex.org/W3103727510","https://openalex.org/W97045569","https://openalex.org/W1527069879","https://openalex.org/W2946179579","https://openalex.org/W2348021072","https://openalex.org/W1871370349"],"abstract_inverted_index":{"Using":[0,65],"the":[1,10,40,66,77,80,96,102],"Residue":[2],"Number":[3],"System":[4],"(RNS)":[5],"as":[6],"a":[7,23,108],"basis":[8],"for":[9,19,95],"hardware":[11],"construction,":[12],"two":[13,54,97],"different":[14],"hard-ware":[15],"structures":[16],"are":[17,51,99],"discussed":[18,100],"implementing":[20],"NTTs":[21],"over":[22],"direct":[24],"sum":[25],"of":[26,35,44,61,79,93,105,111],"Galois":[27,103],"Fields":[28],"GF(mi2).":[29],"The":[30,53],"first":[31],"structure":[32],"uses":[33,42],"arrays":[34,43],"read":[36],"only":[37],"memories":[38],"and":[39,63,83],"second":[41],"microprocessors;":[45],"in":[46,76,87],"particular,":[47],"single":[48],"chip":[49],"microprocessors":[50],"proposed.":[52],"techniques":[55],"offer":[56],"trade":[57],"offs":[58],"between":[59],"speed":[60],"operation,":[62],"cost.":[64],"RNS,":[67],"rather":[68],"than":[69],"conventional":[70],"binary":[71],"arithmetic,":[72],"allows":[73],"more":[74,85],"flexibility":[75,86],"choice":[78],"generator,":[81],"\u03b1,":[82],"consequently":[84],"allowable":[88],"transform":[89],"parameters.":[90],"A":[91],"selection":[92],"parameters,":[94],"realizations,":[98],"when":[101],"Field":[104],"mi2elements":[106],"is":[107],"finite":[109],"field":[110],"Gaussian":[112],"or":[113],"quadratic":[114],"integers.":[115]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
