{"id":"https://openalex.org/W2307000987","doi":"https://doi.org/10.1109/icecs.2015.7440319","title":"Fast signed-digit arithmetic circuits for residue number systems","display_name":"Fast signed-digit arithmetic circuits for residue number systems","publication_year":2015,"publication_date":"2015-12-01","ids":{"openalex":"https://openalex.org/W2307000987","doi":"https://doi.org/10.1109/icecs.2015.7440319","mag":"2307000987"},"language":"en","primary_location":{"id":"doi:10.1109/icecs.2015.7440319","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2015.7440319","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Electronics, Circuits, and Systems (ICECS)","raw_type":"proceedings-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/A5102111885","display_name":"Shugang Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I165735259","display_name":"Gunma University","ror":"https://ror.org/046fm7598","country_code":"JP","type":"education","lineage":["https://openalex.org/I165735259"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Shugang Wei","raw_affiliation_strings":["Department of Mechanical Science and Technology, Gunma University, Kiryu Gunma, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Mechanical Science and Technology, Gunma University, Kiryu Gunma, Japan","institution_ids":["https://openalex.org/I165735259"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5102111885"],"corresponding_institution_ids":["https://openalex.org/I165735259"],"apc_list":null,"apc_paid":null,"fwci":0.7946,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.83025948,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"e79 d","issue":null,"first_page":"344","last_page":"347"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9995999932289124,"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":0.9995999932289124,"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/T10363","display_name":"Low-power high-performance VLSI design","score":0.9944999814033508,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9943000078201294,"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/multiplicative-inverse","display_name":"Multiplicative inverse","score":0.747448742389679},{"id":"https://openalex.org/keywords/residue","display_name":"Residue (chemistry)","score":0.7349743843078613},{"id":"https://openalex.org/keywords/adder","display_name":"Adder","score":0.73051518201828},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.7282888293266296},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.692179262638092},{"id":"https://openalex.org/keywords/modulo","display_name":"Modulo","score":0.6558995246887207},{"id":"https://openalex.org/keywords/residue-number-system","display_name":"Residue number system","score":0.5886270403862},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.528797447681427},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48759904503822327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38753029704093933},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3848358392715454},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.34433645009994507},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3390907347202301},{"id":"https://openalex.org/keywords/latency","display_name":"Latency (audio)","score":0.114251047372818},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07668185234069824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06079617142677307}],"concepts":[{"id":"https://openalex.org/C157351203","wikidata":"https://www.wikidata.org/wiki/Q216906","display_name":"Multiplicative inverse","level":3,"score":0.747448742389679},{"id":"https://openalex.org/C2781338088","wikidata":"https://www.wikidata.org/wiki/Q903495","display_name":"Residue (chemistry)","level":2,"score":0.7349743843078613},{"id":"https://openalex.org/C164620267","wikidata":"https://www.wikidata.org/wiki/Q376953","display_name":"Adder","level":3,"score":0.73051518201828},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.7282888293266296},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.692179262638092},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6558995246887207},{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.5886270403862},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.528797447681427},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48759904503822327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38753029704093933},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3848358392715454},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.34433645009994507},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3390907347202301},{"id":"https://openalex.org/C82876162","wikidata":"https://www.wikidata.org/wiki/Q17096504","display_name":"Latency (audio)","level":2,"score":0.114251047372818},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07668185234069824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06079617142677307},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icecs.2015.7440319","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icecs.2015.7440319","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Conference on Electronics, Circuits, and Systems (ICECS)","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":10,"referenced_works":["https://openalex.org/W1489433220","https://openalex.org/W1967861055","https://openalex.org/W2036820000","https://openalex.org/W2042975863","https://openalex.org/W2091153829","https://openalex.org/W2145953712","https://openalex.org/W2158628547","https://openalex.org/W2469142762","https://openalex.org/W4229484196","https://openalex.org/W6681434030"],"related_works":["https://openalex.org/W2315607643","https://openalex.org/W2991280424","https://openalex.org/W3110331480","https://openalex.org/W2771537172","https://openalex.org/W3098342754","https://openalex.org/W4312742439","https://openalex.org/W4313513739","https://openalex.org/W2140867083","https://openalex.org/W4252659349","https://openalex.org/W2286731084"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"high-speed":[3],"Signed-Digit":[4],"(SD)":[5],"architectures":[6],"of":[7,42,70,93],"binary-to-residue":[8,73],"and":[9,45,61,74,100,111],"residue-to-binary":[10,75],"conversions":[11,44,76,99],"for":[12,57,87],"residue":[13,46,79],"number":[14],"system":[15],"(RNS)":[16],"with":[17],"the":[18,43,58,62,71,78,88,104,112],"moduli":[19],"set":[20],"(2":[21],"<sup":[22,27,33],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[23,28,34],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[24,29,35],",":[25],"2":[26,32],"-":[30],"1,":[31],"+":[36],"1)":[37],"are":[38],"proposed.":[39],"The":[40,68,90],"complexity":[41],"arithmetic":[47,101],"operations":[48,102],"has":[49],"been":[50],"greatly":[51],"reduced":[52],"by":[53],"using":[54,77],"compact":[55],"forms":[56],"multiplicative":[59],"inverse":[60],"fast":[63],"residur":[64],"SD":[65,80,107],"addition":[66],"algorithm.":[67],"relationships":[69],"proposed":[72,113],"numbers":[81],"result":[82],"in":[83,120],"simpler":[84],"hardware":[85],"requirements":[86],"converters.":[89],"primary":[91],"advantage":[92],"our":[94,98],"methods":[95],"is":[96],"that":[97],"utilize":[103],"modulo":[105],"m":[106],"adders":[108],"(MSDAs)":[109],"only":[110],"basic":[114],"circuits":[115],"have":[116],"high":[117],"speed":[118],"structures":[119],"a":[121],"constant":[122],"delay":[123],"time.":[124]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}