{"id":"https://openalex.org/W2013756367","doi":"https://doi.org/10.1117/12.557891","title":"RNS bases and conversions","display_name":"RNS bases and conversions","publication_year":2004,"publication_date":"2004-10-26","ids":{"openalex":"https://openalex.org/W2013756367","doi":"https://doi.org/10.1117/12.557891","mag":"2013756367"},"language":"en","primary_location":{"id":"doi:10.1117/12.557891","doi":"https://doi.org/10.1117/12.557891","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.557891","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"},"volume":null,"type":"conference-paper","is_traditional":true,"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/A5001125765","display_name":"Jean-Claude Bajard","orcid":"https://orcid.org/0000-0002-6301-4464","observed_orcids":["https://orcid.org/0000-0002-6301-4464"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]},{"id":"https://openalex.org/I4387154756","display_name":"Universit\u00e9 Montpellier 2","ror":"https://ror.org/00wh4bp03","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307","https://openalex.org/I4387154756"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Claude Bajard","raw_affiliation_strings":["LIRMM-CNRS (France)","Univ. de Montpellier 2 (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRMM-CNRS (France)","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"Univ. de Montpellier 2 (France)","institution_ids":["https://openalex.org/I4387154756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083804785","display_name":"Thomas Plantard","orcid":"https://orcid.org/0000-0003-2521-2520","observed_orcids":["https://orcid.org/0000-0003-2521-2520"]},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210101743","display_name":"Laboratoire d'Informatique, de Robotique et de Micro\u00e9lectronique de Montpellier","ror":"https://ror.org/013yean28","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I151295451","https://openalex.org/I19894307","https://openalex.org/I4210101743","https://openalex.org/I4210159245","https://openalex.org/I4405261681"]},{"id":"https://openalex.org/I4387154756","display_name":"Universit\u00e9 Montpellier 2","ror":"https://ror.org/00wh4bp03","country_code":"FR","type":"education","lineage":["https://openalex.org/I19894307","https://openalex.org/I4387154756"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Thomas Plantard","raw_affiliation_strings":["LIRMM-CNRS (France)","Univ. de Montpellier 2 (France)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIRMM-CNRS (France)","institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210101743"]},{"raw_affiliation_string":"Univ. de Montpellier 2 (France)","institution_ids":["https://openalex.org/I4387154756"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.386,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.5677293,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":87,"max":98},"biblio":{"volume":"5559","issue":"5559","first_page":"60","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":1.0,"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":1.0,"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/T10237","display_name":"Cryptography and Data Security","score":0.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.0,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"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":0.9430000185966492},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.9909999966621399},{"id":"https://openalex.org/keywords/modular-arithmetic","display_name":"modular arithmetic","score":0.8650000095367432}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7073649764060974}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1117/12.557891","doi":"https://doi.org/10.1117/12.557891","is_oa":false,"landing_page_url":"https://doi.org/10.1117/12.557891","pdf_url":null,"source":{"id":"https://openalex.org/S183492911","display_name":"Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE","issn_l":"0277-786X","issn":["0277-786X","1996-756X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","norway-1"],"host_organization":"https://openalex.org/P4310315543","host_organization_name":"SPIE","host_organization_lineage":["https://openalex.org/P4310315543"],"host_organization_lineage_names":["SPIE"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SPIE Proceedings","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.84.8408","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.84.8408","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.uow.edu.au/~thomaspl/pdf/BajPla04.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:lirmm-00108875v1","doi":null,"is_oa":false,"landing_page_url":"https://hal-lirmm.ccsd.cnrs.fr/lirmm-00108875","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SPIE'04: Advanced Signal Processing AlgorithmsArchitectures and Implementations XIV, Aug 2004, Denver, Colorado (USA), pp.60-69","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1489433220","https://openalex.org/W1498685334","https://openalex.org/W1504599740","https://openalex.org/W1987464474","https://openalex.org/W2004814164","https://openalex.org/W2035644239","https://openalex.org/W2052642068","https://openalex.org/W2058358002","https://openalex.org/W2099544592","https://openalex.org/W2100320640","https://openalex.org/W2123828865","https://openalex.org/W2125062299","https://openalex.org/W2130130502","https://openalex.org/W2132249288","https://openalex.org/W2145428071","https://openalex.org/W2149043711","https://openalex.org/W2154099813","https://openalex.org/W2155095649","https://openalex.org/W2156186849","https://openalex.org/W2157999631","https://openalex.org/W2159101378","https://openalex.org/W2164556899","https://openalex.org/W2563139900"],"related_works":["https://openalex.org/W2732984990","https://openalex.org/W1988002129","https://openalex.org/W1828880226","https://openalex.org/W2530322559","https://openalex.org/W2116220330","https://openalex.org/W4379408983","https://openalex.org/W7097245696","https://openalex.org/W1563331112","https://openalex.org/W4285229453","https://openalex.org/W4312850526"],"abstract_inverted_index":{"Residue":[0],"Number":[1],"Systems":[2],"(RNS)":[3],"allow":[4],"the":[5,18,47,55,75,100,111,132,135,141,154],"distribution":[6],"of":[7,21,37,42,49,57,77,95,104,134,160,167,177],"large":[8],"dynamic":[9],"range":[10],"computations":[11],"over":[12,68],"small":[13],"modular":[14,59],"rings,":[15],"which":[16,117,163],"allows":[17],"speed":[19,76],"up":[20],"computations.":[22],"This":[23],"feature":[24],"is":[25,137],"well":[26,179],"known,":[27],"and":[28,34,71,115,139,171],"already":[29],"used":[30],"in":[31,99],"both":[32,168],"DSP":[33],"cryptography.":[35],"Most":[36],"implementations":[38],"use":[39,118],"RNS":[40,58,87,89,91,161,169],"bases":[41,162,178],"three":[43],"elements":[44],"to":[45,66,88,92],"reduce":[46],"complexity":[48,166],"conversions,":[50],"but":[51],"if":[52],"can":[53],"increase":[54,74],"number":[56],"computational":[60],"channels,":[61],"then":[62],"we":[63,82],"are":[64],"able":[65],"compute":[67],"smaller":[69],"rings":[70],"thus":[72],"further":[73],"computation.":[78],"In":[79],"this":[80],"paper,":[81],"deal":[83],"with":[84],"conversion":[85,105],"from":[86],"or":[90],"standard":[93],"representations":[94],"numbers.":[96],"We":[97,124,145,157,173],"find,":[98],"literature,":[101],"two":[102,127],"classes":[103],"algorithms:":[106],"those":[107,116],"directly":[108],"based":[109],"on":[110],"chinese":[112],"remainder":[113],"theorem":[114],"an":[119],"intermediate":[120],"Mixed":[121],"Radix":[122],"representation.":[123],"analyze":[125],"these":[126],"different":[128],"methods,":[129],"show":[130],"where":[131],"choice":[133],"base":[136,142],"important":[138],"discuss":[140],"selection":[143],"criteria.":[144],"deduce":[146],"that":[147],"MRS":[148],"conversions":[149],"offer":[150],"more":[151],"possibilities":[152],"than":[153],"CRT":[155],"conversions.":[156],"provide":[158,164],"features":[159],"low":[165],"computation":[170],"conversion.":[172],"introduce":[174],"some":[175],"examples":[176],"suited":[180],"for":[181],"cryptography":[182],"applications.":[183]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-07T11:25:07.637180","created_date":"2016-06-24T00:00:00"}
