{"id":"https://openalex.org/W2056497345","doi":"https://doi.org/10.1080/00207729708929403","title":"Enhancing Mersenne transforms by RNS with application to discrete convolution","display_name":"Enhancing Mersenne transforms by RNS with application to discrete convolution","publication_year":1997,"publication_date":"1997-04-01","ids":{"openalex":"https://openalex.org/W2056497345","doi":"https://doi.org/10.1080/00207729708929403","mag":"2056497345"},"language":"en","primary_location":{"id":"doi:10.1080/00207729708929403","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729708929403","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5089357074","display_name":"Salman Talahmeh","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"SALMAN TALAHMEH","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: asalm@ ece.eng.wayne.edu","Department of Electrical and Computer Engineering , Wayne State University , Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: asalm@ ece.eng.wayne.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: asalm@ ece.eng.wayne.edu","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Wayne State University , Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: asalm@ ece.eng.wayne.edu","institution_ids":["https://openalex.org/I185443292"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110038566","display_name":"Pepe Siy","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"PEPE SIY","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: psiy@ ece.eng.wayne.edu","Department of Electrical and Computer Engineering , Wayne State University , Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: psiy@ ece.eng.wayne.edu"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Wayne State University, Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: psiy@ ece.eng.wayne.edu","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Department of Electrical and Computer Engineering , Wayne State University , Detroit, Michigan, 48202, U.S.A. E-mail: e-mail: psiy@ ece.eng.wayne.edu","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I185443292"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.22906267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"4","first_page":"423","last_page":"427"},"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/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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9943000078201294,"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/mersenne-prime","display_name":"Mersenne prime","score":0.9822293519973755},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7744243144989014},{"id":"https://openalex.org/keywords/convolution","display_name":"Convolution (computer science)","score":0.7735656499862671},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5922880172729492},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5815932154655457},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.5272865891456604},{"id":"https://openalex.org/keywords/overlap\u2013add-method","display_name":"Overlap\u2013add method","score":0.499675989151001},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.4513241648674011},{"id":"https://openalex.org/keywords/convolution-theorem","display_name":"Convolution theorem","score":0.4168759286403656},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3229677081108093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.19379815459251404},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15230217576026917},{"id":"https://openalex.org/keywords/fourier-transform","display_name":"Fourier transform","score":0.10052675008773804},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09632301330566406}],"concepts":[{"id":"https://openalex.org/C29641680","wikidata":"https://www.wikidata.org/wiki/Q186875","display_name":"Mersenne prime","level":2,"score":0.9822293519973755},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7744243144989014},{"id":"https://openalex.org/C45347329","wikidata":"https://www.wikidata.org/wiki/Q5166604","display_name":"Convolution (computer science)","level":3,"score":0.7735656499862671},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5922880172729492},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5815932154655457},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.5272865891456604},{"id":"https://openalex.org/C181002996","wikidata":"https://www.wikidata.org/wiki/Q1611641","display_name":"Overlap\u2013add method","level":5,"score":0.499675989151001},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.4513241648674011},{"id":"https://openalex.org/C79587385","wikidata":"https://www.wikidata.org/wiki/Q2638931","display_name":"Convolution theorem","level":5,"score":0.4168759286403656},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3229677081108093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.19379815459251404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15230217576026917},{"id":"https://openalex.org/C102519508","wikidata":"https://www.wikidata.org/wiki/Q6520159","display_name":"Fourier transform","level":2,"score":0.10052675008773804},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09632301330566406},{"id":"https://openalex.org/C76563020","wikidata":"https://www.wikidata.org/wiki/Q4817582","display_name":"Fractional Fourier transform","level":4,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C50644808","wikidata":"https://www.wikidata.org/wiki/Q192776","display_name":"Artificial neural network","level":2,"score":0.0},{"id":"https://openalex.org/C203024314","wikidata":"https://www.wikidata.org/wiki/Q1365258","display_name":"Fourier analysis","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/00207729708929403","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207729708929403","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1766888123","https://openalex.org/W1836138758","https://openalex.org/W1968355467","https://openalex.org/W1982022511","https://openalex.org/W1994637969","https://openalex.org/W2024514779","https://openalex.org/W2038076624","https://openalex.org/W2049238057","https://openalex.org/W2069448237","https://openalex.org/W2113994308","https://openalex.org/W2117919933","https://openalex.org/W2149043711","https://openalex.org/W4400525487"],"related_works":["https://openalex.org/W4363675452","https://openalex.org/W2267589039","https://openalex.org/W2293685972","https://openalex.org/W4372260258","https://openalex.org/W2919798019","https://openalex.org/W2165363605","https://openalex.org/W2759540840","https://openalex.org/W2951893332","https://openalex.org/W2361284596","https://openalex.org/W2952560676"],"abstract_inverted_index":{"The":[0,23,39,53],"paper":[1],"develops":[2],"an":[3],"enhanced":[4],"algorithm":[5,25,88,92,98],"for":[6],"the":[7,27,33,36,60,67,90,94,112],"exact":[8],"computation":[9,40],"of":[10,29,35,41,62,72,86,96],"discrete":[11],"convolution":[12,78,102],"based":[13],"on":[14],"Mersenne":[15,30,42,73],"transforms":[16,31,43],"and":[17,32,49,75,106],"multi-moduli":[18],"residue":[19],"number":[20],"systems":[21],"(RNSs).":[22],"proposed":[24],"combines":[26],"advantages":[28,34],"RNS":[37,54],"system.":[38],"involves":[44],"only":[45],"simple":[46],"operations:":[47],"addition":[48],"circular":[50],"shift":[51],"operations.":[52],"system":[55],"is":[56],"used":[57],"to":[58,65,76,99,110],"increase":[59],"length":[61],"input":[63],"sequences,":[64],"extend":[66],"unsatisfactory":[68],"limited":[69],"numerical":[70],"range":[71],"transforms,":[74],"split":[77],"computations":[79],"onto":[80],"several":[81],"smaller":[82],"channels.":[83],"A":[84],"comparison":[85],"this":[87,97],"with":[89],"traditional":[91],"verifies":[93],"ability":[95],"solve":[100],"many":[101],"problems.":[103],"Numerical":[104],"examples":[105],"tables":[107],"are":[108,119],"given":[109],"illustrate":[111],"new":[113],"algorithm.":[114],"In":[115],"addition,":[116],"practical":[117],"considerations":[118],"discussed.":[120]},"counts_by_year":[],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}