{"id":"https://openalex.org/W7161697105","doi":"https://doi.org/10.48550/arxiv.2605.18415","title":"Residue Number System Comparison revisited, a software perspective","display_name":"Residue Number System Comparison revisited, a software perspective","publication_year":2026,"publication_date":"2026-05-18","ids":{"openalex":"https://openalex.org/W7161697105","doi":"https://doi.org/10.48550/arxiv.2605.18415"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2605.18415","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18415","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2605.18415","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5136491488","display_name":"Laurent-St\u00e9phane Didier","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089351","display_name":"Universidad Tecnol\u00f3gica Nicarag\u00fcense","ror":"https://ror.org/008rn4f38","country_code":"NI","type":"education","lineage":["https://openalex.org/I4210089351"]}],"countries":["NI"],"is_corresponding":false,"raw_author_name":"Didier, Laurent-St\u00e9phane","raw_affiliation_strings":["UTLN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UTLN","institution_ids":["https://openalex.org/I4210089351"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107804249","display_name":"L\u00e9a Glandus","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089351","display_name":"Universidad Tecnol\u00f3gica Nicarag\u00fcense","ror":"https://ror.org/008rn4f38","country_code":"NI","type":"education","lineage":["https://openalex.org/I4210089351"]}],"countries":["NI"],"is_corresponding":false,"raw_author_name":"Glandus, L\u00e9a","raw_affiliation_strings":["UTLN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UTLN","institution_ids":["https://openalex.org/I4210089351"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5136468743","display_name":"Nadia El Mrabet","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089351","display_name":"Universidad Tecnol\u00f3gica Nicarag\u00fcense","ror":"https://ror.org/008rn4f38","country_code":"NI","type":"education","lineage":["https://openalex.org/I4210089351"]}],"countries":["NI"],"is_corresponding":false,"raw_author_name":"Mrabet, Nadia El","raw_affiliation_strings":["UTLN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UTLN","institution_ids":["https://openalex.org/I4210089351"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5136496804","display_name":"Jean-Marc Robert","orcid":null},"institutions":[{"id":"https://openalex.org/I4210089351","display_name":"Universidad Tecnol\u00f3gica Nicarag\u00fcense","ror":"https://ror.org/008rn4f38","country_code":"NI","type":"education","lineage":["https://openalex.org/I4210089351"]}],"countries":["NI"],"is_corresponding":false,"raw_author_name":"Robert, Jean-Marc","raw_affiliation_strings":["UTLN"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"UTLN","institution_ids":["https://openalex.org/I4210089351"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9843000173568726,"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":0.9843000173568726,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.005499999970197678,"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/T10237","display_name":"Cryptography and Data Security","score":0.003100000089034438,"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":0.8701000213623047},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4887000024318695},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.4860000014305115},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4717999994754791},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.43709999322891235},{"id":"https://openalex.org/keywords/digital-signal-processing","display_name":"Digital signal processing","score":0.38199999928474426},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.3490999937057495}],"concepts":[{"id":"https://openalex.org/C71480937","wikidata":"https://www.wikidata.org/wiki/Q3086516","display_name":"Residue number system","level":2,"score":0.8701000213623047},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5508000254631042},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4887000024318695},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.4860000014305115},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4717999994754791},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.45570001006126404},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.43709999322891235},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4156999886035919},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.40630000829696655},{"id":"https://openalex.org/C84462506","wikidata":"https://www.wikidata.org/wiki/Q173142","display_name":"Digital signal processing","level":2,"score":0.38199999928474426},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3596999943256378},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.3490999937057495},{"id":"https://openalex.org/C104267543","wikidata":"https://www.wikidata.org/wiki/Q208163","display_name":"Signal processing","level":3,"score":0.31690001487731934},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.3093000054359436},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.3034999966621399},{"id":"https://openalex.org/C32049820","wikidata":"https://www.wikidata.org/wiki/Q319400","display_name":"Modular arithmetic","level":3,"score":0.2791999876499176},{"id":"https://openalex.org/C113775141","wikidata":"https://www.wikidata.org/wiki/Q428691","display_name":"Computer engineering","level":1,"score":0.26660001277923584},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.25200000405311584},{"id":"https://openalex.org/C2983609787","wikidata":"https://www.wikidata.org/wiki/Q10534782","display_name":"Software implementation","level":3,"score":0.2515999972820282}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2605.18415","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18415","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2605.18415","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2605.18415","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0,104,121],"paper":[1],"presents":[2],"a":[3,57,85,90,106],"novel":[4],"method":[5,36],"to":[6,67,84,98],"compare":[7],"two":[8,41],"numbers":[9],"in":[10,28,43,100,126],"Residue":[11],"Number":[12],"System":[13],"(RNS)":[14],"using":[15],"an":[16],"additional":[17],"modulus,":[18],"which":[19,94,117],"is":[20,26],"often":[21],"already":[22],"available":[23],"because":[24],"it":[25],"required":[27],"modular":[29],"computations":[30],"and":[31,112,134],"digital":[32],"signal":[33],"processing":[34],"scaling.Our":[35],"provides":[37,105],"the":[38,44,48],"comparison":[39],"of":[40,47,56,92],"integers":[42],"full":[45],"range":[46],"RNS":[49,69,128],"base.":[50],"It":[51],"does":[52],"not":[53],"require":[54,72],"moduli":[55],"special":[58],"form,":[59],"unlike":[60],"other":[61],"state-of-the-art":[62],"methods":[63,111,116],"that":[64],"are":[65],"restricted":[66],"specific":[68],"bases":[70],"or":[71],"bounds":[73],"on":[74],"input":[75],"numbers.":[76],"Our":[77],"approach":[78],"only":[79],"requires":[80],"one":[81],"single":[82],"conversion":[83],"mixed":[86],"radix":[87],"representation":[88],"with":[89,102],"complexity":[91],"O(n2),":[93],"can":[95],"be":[96],"reduced":[97],"O(log(n))":[99],"time":[101],"parallelization.":[103],"significant":[107],"advantage":[108],"over":[109],"classical":[110],"more":[113],"recent":[114],"competitive":[115],"work":[118],"under":[119],"restrictions.":[120],"opens":[122],"perspectives":[123],"for":[124],"advancements":[125],"challenging":[127],"operations":[129],"such":[130],"as":[131],"division,":[132],"scaling,":[133],"cryptographic":[135],"applications.":[136]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-05-20T00:00:00"}