{"id":"https://openalex.org/W2123828865","doi":"https://doi.org/10.1109/tc.2003.1197124","title":"New CRT-based RNS converter using restricted moduli set","display_name":"New CRT-based RNS converter using restricted moduli set","publication_year":2003,"publication_date":"2003-05-01","ids":{"openalex":"https://openalex.org/W2123828865","doi":"https://doi.org/10.1109/tc.2003.1197124","mag":"2123828865"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2003.1197124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1197124","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5022580389","display_name":"Richard Conway","orcid":"https://orcid.org/0000-0003-2538-3362"},"institutions":[{"id":"https://openalex.org/I230495080","display_name":"University of Limerick","ror":"https://ror.org/00a0n9e72","country_code":"IE","type":"education","lineage":["https://openalex.org/I230495080"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"R. Conway","raw_affiliation_strings":["Electronics and Computer Engineering Department, University of Limerick, Ireland","[Dept. of Electron. & Comput. Eng., Limerick Univ., Ireland]"],"affiliations":[{"raw_affiliation_string":"Electronics and Computer Engineering Department, University of Limerick, Ireland","institution_ids":["https://openalex.org/I230495080"]},{"raw_affiliation_string":"[Dept. of Electron. & Comput. Eng., Limerick Univ., Ireland]","institution_ids":["https://openalex.org/I230495080"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064832796","display_name":"J. Stuart Nelson","orcid":"https://orcid.org/0000-0002-2697-9152"},"institutions":[{"id":"https://openalex.org/I230495080","display_name":"University of Limerick","ror":"https://ror.org/00a0n9e72","country_code":"IE","type":"education","lineage":["https://openalex.org/I230495080"]}],"countries":["IE"],"is_corresponding":false,"raw_author_name":"J. Nelson","raw_affiliation_strings":["Electronics and Computer Engineering Department, University of Limerick, Ireland","[Dept. of Electron. & Comput. Eng., Limerick Univ., Ireland]"],"affiliations":[{"raw_affiliation_string":"Electronics and Computer Engineering Department, University of Limerick, Ireland","institution_ids":["https://openalex.org/I230495080"]},{"raw_affiliation_string":"[Dept. of Electron. & Comput. Eng., Limerick Univ., Ireland]","institution_ids":["https://openalex.org/I230495080"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022580389"],"corresponding_institution_ids":["https://openalex.org/I230495080"],"apc_list":null,"apc_paid":null,"fwci":3.6549,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.93371894,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"52","issue":"5","first_page":"572","last_page":"578"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9937000274658203,"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":0.9937000274658203,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9822999835014343,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.982200026512146,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.8320903778076172},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.794143557548523},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6961320042610168},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5513267517089844},{"id":"https://openalex.org/keywords/coprime-integers","display_name":"Coprime integers","score":0.5388990640640259},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.5228695869445801},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.5103210806846619},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.503337562084198},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4863608479499817},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4803789258003235},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.45024773478507996},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.41357430815696716},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3799949884414673},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.37295517325401306},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3662830889225006},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2694958448410034},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.17221331596374512},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14607617259025574},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.10276368260383606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10240867733955383}],"concepts":[{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.8320903778076172},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.794143557548523},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6961320042610168},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5513267517089844},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.5388990640640259},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.5228695869445801},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.5103210806846619},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.503337562084198},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4863608479499817},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4803789258003235},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.45024773478507996},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.41357430815696716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3799949884414673},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.37295517325401306},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3662830889225006},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2694958448410034},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.17221331596374512},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14607617259025574},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.10276368260383606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10240867733955383},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"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/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2003.1197124","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1197124","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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":8,"referenced_works":["https://openalex.org/W1607038717","https://openalex.org/W1879033819","https://openalex.org/W1964539827","https://openalex.org/W2084055884","https://openalex.org/W2120493565","https://openalex.org/W2141664762","https://openalex.org/W2153430250","https://openalex.org/W2169683161"],"related_works":["https://openalex.org/W2202197943","https://openalex.org/W2542168764","https://openalex.org/W2076304632","https://openalex.org/W2530574867","https://openalex.org/W1852876249","https://openalex.org/W2991280424","https://openalex.org/W2607200954","https://openalex.org/W2146856939","https://openalex.org/W3110331480","https://openalex.org/W2792528285"],"abstract_inverted_index":{"This":[0],"paper":[1,69],"presents":[2],"a":[3,55,60],"new":[4,64],"RNS":[5],"converter":[6,65],"using":[7],"any":[8],"number":[9],"of":[10,14,28,54,57,97],"relatively":[11],"prime":[12],"moduli":[13,31],"the":[15,26,49,52,71,75,79,95],"form":[16],"2/sup":[17,20,40],"n/":[18,21,36,41],"and":[19,77,86,117],"/spl":[22],"plusmn/":[23],"1.":[24],"With":[25],"exception":[27],"common":[29],"3":[30],"sets":[32],"such":[33],"as":[34],"{2/sup":[35],"-":[37],"1,2/sup":[38],"n/,":[39],"+":[42],"1},":[43],"FINS":[44],"output":[45,76],"converters":[46],"based":[47],"on":[48],"CRT":[50],"require":[51],"computation":[53],"sum":[56],"products":[58],"modulo":[59],"large":[61],"number.":[62],"The":[63],"presented":[66],"in":[67],"this":[68],"uses":[70],"fractional":[72],"representation":[73],"for":[74,81,115],"eliminates":[78],"requirement":[80],"multiplications,":[82],"thereby":[83],"reducing":[84],"area":[85,89,116],"delay.":[87,118],"Further":[88],"improvements":[90],"are":[91,113],"possible":[92],"by":[93],"exploiting":[94],"period":[96],"terms":[98],"to":[99,107],"be":[100],"added.":[101],"An":[102],"algorithmic":[103],"approach":[104],"is":[105],"used":[106],"obtain":[108],"full":[109],"adder-based":[110],"architectures":[111],"that":[112],"optimized":[114]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
