{"id":"https://openalex.org/W1594586577","doi":"https://doi.org/10.1109/iscas.2003.1205999","title":"New efficient residue-to-binary converters for 4-moduli set {2/sup n/ - 1, 2/sup n/, 2/sup n/ + 1, 2/sup n+1/ - 1}","display_name":"New efficient residue-to-binary converters for 4-moduli set {2/sup n/ - 1, 2/sup n/, 2/sup n/ + 1, 2/sup n+1/ - 1}","publication_year":2003,"publication_date":"2003-11-04","ids":{"openalex":"https://openalex.org/W1594586577","doi":"https://doi.org/10.1109/iscas.2003.1205999","mag":"1594586577"},"language":"en","primary_location":{"id":"doi:10.1109/iscas.2003.1205999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","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/A5051716774","display_name":"Bin Cao","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Bin Cao","raw_affiliation_strings":["Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029335324","display_name":"Chip-Hong Chang","orcid":"https://orcid.org/0000-0002-8897-6176"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chip-Hong Chang","raw_affiliation_strings":["Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5070475093","display_name":"Thambipillai Srikanthan","orcid":"https://orcid.org/0000-0003-3664-4345"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"T. Srikanthan","raw_affiliation_strings":["Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Centre for High Performance Embedded Systems, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Centre for High-Performance Embedded Syst., Nanyang Technol. Univ., Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.2522,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.51577503,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"4","issue":null,"first_page":"IV","last_page":"536"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9961000084877014,"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":0.9961000084877014,"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/T11130","display_name":"Coding theory and cryptography","score":0.9927999973297119,"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":0.9735999703407288,"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/moduli","display_name":"Moduli","score":0.8689483404159546},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7415285110473633},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.6451369524002075},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.5934958457946777},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46673309803009033},{"id":"https://openalex.org/keywords/converters","display_name":"Converters","score":0.43915486335754395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3804943263530731},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3750340938568115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36908432841300964},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3269338011741638},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.24275395274162292},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.207643061876297},{"id":"https://openalex.org/keywords/voltage","display_name":"Voltage","score":0.06838208436965942},{"id":"https://openalex.org/keywords/organic-chemistry","display_name":"Organic chemistry","score":0.06543701887130737},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.058135539293289185}],"concepts":[{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.8689483404159546},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7415285110473633},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.6451369524002075},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.5934958457946777},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46673309803009033},{"id":"https://openalex.org/C2778422915","wikidata":"https://www.wikidata.org/wiki/Q10302051","display_name":"Converters","level":3,"score":0.43915486335754395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3804943263530731},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3750340938568115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36908432841300964},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3269338011741638},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.24275395274162292},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.207643061876297},{"id":"https://openalex.org/C165801399","wikidata":"https://www.wikidata.org/wiki/Q25428","display_name":"Voltage","level":2,"score":0.06838208436965942},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.06543701887130737},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.058135539293289185}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iscas.2003.1205999","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iscas.2003.1205999","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2003 International Symposium on Circuits and Systems, 2003. ISCAS '03.","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/W1967861055","https://openalex.org/W1989037528","https://openalex.org/W2016066384","https://openalex.org/W2038318831","https://openalex.org/W2091225468","https://openalex.org/W2105320410","https://openalex.org/W2132236349","https://openalex.org/W2149043711","https://openalex.org/W4249098410","https://openalex.org/W6629174135","https://openalex.org/W6682101224"],"related_works":["https://openalex.org/W2542168764","https://openalex.org/W2076304632","https://openalex.org/W1852876249","https://openalex.org/W2146856939","https://openalex.org/W2169683161","https://openalex.org/W2580343161","https://openalex.org/W2126468778","https://openalex.org/W2107715615","https://openalex.org/W2101550730","https://openalex.org/W2154084782"],"abstract_inverted_index":{"This":[0],"paper":[1],"describes":[2],"a":[3,79],"new":[4,101],"algorithm":[5,57],"of":[6,38,96],"residue-to-binary":[7,55,81],"conversion":[8,56],"for":[9,31,58,83,112],"the":[10,52,59,73,107,113,124],"4-moduli":[11],"set":[12,41,62,86],"{2/sup":[13,63],"n/":[14,20,64,70],"-":[15,25,65],"1,":[16,22,66],"2/sup":[17,19,23,67,69],"n/,":[18,68],"+":[21,71],"n+1/":[24],"1}":[26],"RNS":[27,87],"which":[28],"is":[29],"valid":[30],"even":[32],"n.":[33],"The":[34],"number":[35],"theoretic":[36],"properties":[37],"this":[39,100],"moduli":[40,61,85,115],"are":[42,103],"exploited":[43],"to":[44,78,89,106],"realize":[45],"an":[46],"efficient":[47,54],"reverse":[48,109],"converter.":[49],"By":[50],"using":[51],"most":[53],"triple":[60],"1},":[72],"problem":[74],"can":[75],"be":[76],"reduced":[77],"simpler":[80],"converter":[82,110],"two":[84],"amenable":[88],"fast":[90],"mixed-radix":[91],"conversion.":[92],"Two":[93],"different":[94],"versions":[95],"architecture":[97],"based":[98],"on":[99],"formulation":[102],"proposed.":[104],"Comparing":[105],"fastest":[108],"reported":[111],"same":[114],"set,":[116],"our":[117],"proposed":[118],"converters":[119],"surpass":[120],"it":[121],"in":[122],"both":[123],"area":[125],"and":[126],"time":[127],"complexities.":[128]},"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}