{"id":"https://openalex.org/W2154084782","doi":"https://doi.org/10.1109/arith.2003.1207687","title":"Scaling an RNS number using the core function","display_name":"Scaling an RNS number using the core function","publication_year":2004,"publication_date":"2004-03-22","ids":{"openalex":"https://openalex.org/W2154084782","doi":"https://doi.org/10.1109/arith.2003.1207687","mag":"2154084782"},"language":"en","primary_location":{"id":"doi:10.1109/arith.2003.1207687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207687","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings.","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/A5031109148","display_name":"Neil Burgess","orcid":"https://orcid.org/0000-0003-0646-6584"},"institutions":[{"id":"https://openalex.org/I79510175","display_name":"Cardiff University","ror":"https://ror.org/03kk7td41","country_code":"GB","type":"education","lineage":["https://openalex.org/I79510175"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"N. Burgess","raw_affiliation_strings":["Cardiff School of Engineering, Cardiff University, Cardiff, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Cardiff School of Engineering, Cardiff University, Cardiff, UK","institution_ids":["https://openalex.org/I79510175"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5031109148"],"corresponding_institution_ids":["https://openalex.org/I79510175"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"262","last_page":"269"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9972000122070312,"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":0.9959999918937683,"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/residue-number-system","display_name":"Residue number system","score":0.9034662246704102},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.8640440702438354},{"id":"https://openalex.org/keywords/coprime-integers","display_name":"Coprime integers","score":0.8239777684211731},{"id":"https://openalex.org/keywords/scaling","display_name":"Scaling","score":0.7480103373527527},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.49671679735183716},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.48947322368621826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3402421474456787},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2819101810455322},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10233816504478455},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.06836879253387451}],"concepts":[{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.9034662246704102},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.8640440702438354},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.8239777684211731},{"id":"https://openalex.org/C99844830","wikidata":"https://www.wikidata.org/wiki/Q102441924","display_name":"Scaling","level":2,"score":0.7480103373527527},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.49671679735183716},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.48947322368621826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3402421474456787},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2819101810455322},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10233816504478455},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.06836879253387451}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/arith.2003.1207687","is_oa":false,"landing_page_url":"https://doi.org/10.1109/arith.2003.1207687","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"16th IEEE Symposium on Computer Arithmetic, 2003. Proceedings.","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":18,"referenced_works":["https://openalex.org/W1925248","https://openalex.org/W1505229938","https://openalex.org/W1525149062","https://openalex.org/W1827234997","https://openalex.org/W1867586513","https://openalex.org/W1912259317","https://openalex.org/W2093794779","https://openalex.org/W2096357438","https://openalex.org/W2097374472","https://openalex.org/W2120079230","https://openalex.org/W2143049091","https://openalex.org/W2153430250","https://openalex.org/W2158708872","https://openalex.org/W2159552109","https://openalex.org/W2164627073","https://openalex.org/W6600082969","https://openalex.org/W6639054083","https://openalex.org/W6678051760"],"related_works":["https://openalex.org/W2542168764","https://openalex.org/W2076304632","https://openalex.org/W1852876249","https://openalex.org/W2607200954","https://openalex.org/W2169683161","https://openalex.org/W2146856939","https://openalex.org/W2580343161","https://openalex.org/W2101550730","https://openalex.org/W4285350724","https://openalex.org/W2792528285"],"abstract_inverted_index":{"We":[0,42],"introduce":[1],"a":[2,9,20,31,44,54],"method":[3,22,45],"for":[4,23,46],"extracting":[5],"the":[6,16,57,66,74],"core":[7],"of":[8,33,56],"residue":[10],"number":[11,14,52],"system":[12],"(RNS)":[13],"within":[15],"RNS,":[17],"this":[18],"affording":[19],"new":[21],"scaling":[24,48],"RNS":[25,29,51],"numbers.":[26],"Suppose":[27],"an":[28,50],"comprises":[30],"set":[32],"coprime":[34],"moduli,":[35,58],"m/sub":[36],"i/,":[37],"with":[38,65],"/spl":[39,59],"Pi/m/sub":[40,60],"i/=M.":[41],"describe":[43],"approximately":[47],"such":[49],"by":[53],"subset":[55],"j/=M/sub":[61],"J//spl":[62],"ap//spl":[63],"radic/M,":[64],"characteristic":[67],"that":[68],"all":[69],"computations":[70],"are":[71],"performed":[72],"using":[73],"original":[75],"moduli":[76],"and":[77],"one":[78],"other":[79],"nonmaintained":[80],"short":[81],"wordlength":[82],"modulus.":[83]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
