{"id":"https://openalex.org/W4382724487","doi":"https://doi.org/10.3390/computation11070124","title":"Fast Operation of Determining the Sign of a Number in RNS Using the Akushsky Core Function","display_name":"Fast Operation of Determining the Sign of a Number in RNS Using the Akushsky Core Function","publication_year":2023,"publication_date":"2023-06-28","ids":{"openalex":"https://openalex.org/W4382724487","doi":"https://doi.org/10.3390/computation11070124"},"language":"en","primary_location":{"id":"doi:10.3390/computation11070124","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070124","pdf_url":"https://www.mdpi.com/2079-3197/11/7/124/pdf?version=1687960796","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2079-3197/11/7/124/pdf?version=1687960796","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5050045897","display_name":"Egor Shiriaev","orcid":"https://orcid.org/0000-0002-2359-1291"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Egor Shiriaev","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia"],"raw_orcid":"https://orcid.org/0000-0002-2359-1291","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5046488590","display_name":"Nikolay Kucherov","orcid":"https://orcid.org/0000-0003-0337-0093"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Nikolay Kucherov","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia"],"raw_orcid":"https://orcid.org/0000-0003-0337-0093","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012441488","display_name":"Mikhail Babenko","orcid":"https://orcid.org/0000-0001-7066-0061"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Mikhail Babenko","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia"],"raw_orcid":"https://orcid.org/0000-0001-7066-0061","affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056395916","display_name":"Anton Nazarov","orcid":"https://orcid.org/0000-0002-0109-6097"},"institutions":[{"id":"https://openalex.org/I210043505","display_name":"North-Caucasus Federal University","ror":"https://ror.org/05g1k4d79","country_code":"RU","type":"education","lineage":["https://openalex.org/I210043505"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Anton Nazarov","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, North-Caucasus Federal University, 355017 Stavropol, Russia","institution_ids":["https://openalex.org/I210043505"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5050045897"],"corresponding_institution_ids":["https://openalex.org/I210043505"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.9838,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.76639323,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":96},"biblio":{"volume":"11","issue":"7","first_page":"124","last_page":"124"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13983","display_name":"Cybersecurity and Information Systems","score":0.9835000038146973,"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"}},"topics":[{"id":"https://openalex.org/T13983","display_name":"Cybersecurity and Information Systems","score":0.9835000038146973,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9829000234603882,"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/T14470","display_name":"Advanced Data Processing Techniques","score":0.9714000225067139,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6980354189872742},{"id":"https://openalex.org/keywords/sign","display_name":"Sign (mathematics)","score":0.6698796153068542},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.6190388798713684},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5676840543746948},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5644837021827698},{"id":"https://openalex.org/keywords/sign-function","display_name":"Sign function","score":0.5633833408355713},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.532592236995697},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.42879366874694824},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4063900411128998},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.2915138006210327},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.20647308230400085},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09419339895248413}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6980354189872742},{"id":"https://openalex.org/C139676723","wikidata":"https://www.wikidata.org/wiki/Q1193832","display_name":"Sign (mathematics)","level":2,"score":0.6698796153068542},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.6190388798713684},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5676840543746948},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5644837021827698},{"id":"https://openalex.org/C4250","wikidata":"https://www.wikidata.org/wiki/Q236813","display_name":"Sign function","level":2,"score":0.5633833408355713},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.532592236995697},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.42879366874694824},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4063900411128998},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.2915138006210327},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.20647308230400085},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09419339895248413},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/computation11070124","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070124","pdf_url":"https://www.mdpi.com/2079-3197/11/7/124/pdf?version=1687960796","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:39968b42ea5d40d8a334e7c5031027bf","is_oa":true,"landing_page_url":"https://doaj.org/article/39968b42ea5d40d8a334e7c5031027bf","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation, Vol 11, Iss 7, p 124 (2023)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2079-3197/11/7/124/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/computation11070124","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Computation; Volume 11; Issue 7; Pages: 124","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/computation11070124","is_oa":true,"landing_page_url":"https://doi.org/10.3390/computation11070124","pdf_url":"https://www.mdpi.com/2079-3197/11/7/124/pdf?version=1687960796","source":{"id":"https://openalex.org/S2738402919","display_name":"Computation","issn_l":"2079-3197","issn":["2079-3197"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computation","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy"}],"awards":[{"id":"https://openalex.org/G8836019001","display_name":null,"funder_award_id":"22-71-10046","funder_id":"https://openalex.org/F4320324099","funder_display_name":"Russian Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320324099","display_name":"Russian Science Foundation","ror":"https://ror.org/03y2gwe85"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4382724487.pdf"},"referenced_works_count":57,"referenced_works":["https://openalex.org/W1498896551","https://openalex.org/W1576827729","https://openalex.org/W1993260327","https://openalex.org/W1994406803","https://openalex.org/W1996686229","https://openalex.org/W2005457258","https://openalex.org/W2008957088","https://openalex.org/W2025474944","https://openalex.org/W2032218333","https://openalex.org/W2043491339","https://openalex.org/W2045371716","https://openalex.org/W2054632425","https://openalex.org/W2083394863","https://openalex.org/W2106848816","https://openalex.org/W2110659753","https://openalex.org/W2112570083","https://openalex.org/W2116090194","https://openalex.org/W2126182229","https://openalex.org/W2129272955","https://openalex.org/W2133062571","https://openalex.org/W2140798722","https://openalex.org/W2142678814","https://openalex.org/W2157999631","https://openalex.org/W2158530066","https://openalex.org/W2172143515","https://openalex.org/W2532212108","https://openalex.org/W2611990289","https://openalex.org/W2763302490","https://openalex.org/W2885339274","https://openalex.org/W2902143327","https://openalex.org/W2910497336","https://openalex.org/W2911489589","https://openalex.org/W3009325463","https://openalex.org/W3009864640","https://openalex.org/W3011915012","https://openalex.org/W3094446317","https://openalex.org/W3109772636","https://openalex.org/W3121418772","https://openalex.org/W3155226970","https://openalex.org/W3169180249","https://openalex.org/W3175969702","https://openalex.org/W4200024685","https://openalex.org/W4206910416","https://openalex.org/W4220785416","https://openalex.org/W4225757881","https://openalex.org/W4226329974","https://openalex.org/W4229054439","https://openalex.org/W4235583970","https://openalex.org/W4250198421","https://openalex.org/W4291972732","https://openalex.org/W4306693000","https://openalex.org/W4322730907","https://openalex.org/W6629105964","https://openalex.org/W6676126388","https://openalex.org/W6737820941","https://openalex.org/W6787424018","https://openalex.org/W6850074955"],"related_works":["https://openalex.org/W4210637061","https://openalex.org/W4286787776","https://openalex.org/W3012964902","https://openalex.org/W3104799065","https://openalex.org/W2220568363","https://openalex.org/W2368001082","https://openalex.org/W4233613738","https://openalex.org/W4309397896","https://openalex.org/W2361846699","https://openalex.org/W2098114232"],"abstract_inverted_index":{"This":[0,44,165],"article":[1,45],"presents":[2],"a":[3,80,94,99,101,109,129,149,184,191],"study":[4,130],"related":[5],"to":[6,36,92],"increasing":[7],"the":[8,21,37,41,50,63,66,77,83,87,106,113,124,146,152,156,170,195],"performance":[9],"of":[10,16,23,40,52,59,65,79,108,126,131,148,172,174,183,187,198],"distributed":[11,137,185],"computing":[12,18,138],"systems.":[13],"The":[14],"essence":[15],"fog":[17],"lies":[19],"in":[20,82,90,123,136,151,194],"use":[22],"so-called":[24],"edge":[25,188],"devices.":[26],"These":[27],"devices":[28,189],"are":[29,33,72],"low-power,":[30],"so":[31],"they":[32],"extremely":[34],"sensitive":[35],"computational":[38,196],"complexity":[39,197],"methods":[42,64,74,132],"used.":[43],"is":[46,120,139,162,167],"aimed":[47],"at":[48],"improving":[49],"efficiency":[51],"calculations":[53,161],"while":[54],"maintaining":[55,180],"an":[56],"appropriate":[57],"level":[58],"reliability":[60,135,182],"by":[61],"applying":[62],"Residue":[67],"Number":[68],"System":[69],"(RNS).":[70],"We":[71],"investigating":[73],"for":[75,104,133,144],"determining":[76,105,145],"sign":[78,107,147],"number":[81,110,150],"RNS":[84,153],"based":[85,111,154],"on":[86,112,155],"core":[88,115,157],"function":[89,158],"order":[91],"develop":[93],"new,":[95],"fast":[96,102,142],"method.":[97],"As":[98],"result,":[100],"method":[103,143],"Akushsky":[114],"function,":[116],"using":[117,159],"approximate":[118,160],"calculations,":[119,176],"obtained.":[121],"Thus,":[122],"course":[125],"this":[127],"article,":[128],"ensuring":[134],"conducted.":[140],"A":[141],"also":[163],"proposed.":[164],"result":[166],"interesting":[168],"from":[169],"point":[171],"view":[173],"nebulous":[175],"since":[177],"it":[178],"allows":[179],"high":[181],"system":[186],"with":[190],"slight":[192],"increase":[193],"non-modular":[199],"operations.":[200]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2}],"updated_date":"2025-12-29T23:06:16.900395","created_date":"2025-10-10T00:00:00"}
