{"id":"https://openalex.org/W3008693561","doi":"https://doi.org/10.1109/redundancy48165.2019.9003344","title":"Construction of the solution of the Chinese Remainder Theorem for polynomials using the method of undetermined coefficients","display_name":"Construction of the solution of the Chinese Remainder Theorem for polynomials using the method of undetermined coefficients","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3008693561","doi":"https://doi.org/10.1109/redundancy48165.2019.9003344","mag":"3008693561"},"language":"en","primary_location":{"id":"doi:10.1109/redundancy48165.2019.9003344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/redundancy48165.2019.9003344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 XVI International Symposium \"Problems of Redundancy in Information and Control Systems\" (REDUNDANCY)","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/A5056136712","display_name":"Andrey E. Krouk","orcid":null},"institutions":[{"id":"https://openalex.org/I130523015","display_name":"Saint Petersburg State University of Aerospace and Instrumentation","ror":"https://ror.org/02rsxaa93","country_code":"RU","type":"education","lineage":["https://openalex.org/I130523015"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Andrey E. Krouk","raw_affiliation_strings":["Moscow Institute of Electronics and Mathematics, State University of Aerospace Instrumentation"],"affiliations":[{"raw_affiliation_string":"Moscow Institute of Electronics and Mathematics, State University of Aerospace Instrumentation","institution_ids":["https://openalex.org/I130523015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5035194026","display_name":"Sergei V. Fedorenko","orcid":"https://orcid.org/0000-0003-0099-0000"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergei Valentinovich Fedorenko","raw_affiliation_strings":["Centre for Interdisciplinary Basic Research, National Research University, St.Petersburg, Russia"],"affiliations":[{"raw_affiliation_string":"Centre for Interdisciplinary Basic Research, National Research University, St.Petersburg, Russia","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056136712"],"corresponding_institution_ids":["https://openalex.org/I130523015"],"apc_list":null,"apc_paid":null,"fwci":0.3392,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.72502524,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":null,"issue":null,"first_page":"115","last_page":"116"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.8765000104904175,"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/T13608","display_name":"Advanced Computational Techniques in Science and Engineering","score":0.8765000104904175,"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":0.8300999999046326,"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"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.7975000143051147,"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/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.8990468978881836},{"id":"https://openalex.org/keywords/remainder","display_name":"Remainder","score":0.8494465351104736},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5329540371894836},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.524720311164856},{"id":"https://openalex.org/keywords/factor-theorem","display_name":"Factor theorem","score":0.4384691119194031},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.43445754051208496},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43220335245132446},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3314379155635834},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.32505443692207336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2683744430541992},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2617175281047821},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21690776944160461},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2145293951034546},{"id":"https://openalex.org/keywords/picard\u2013lindel\u00f6f-theorem","display_name":"Picard\u2013Lindel\u00f6f theorem","score":0.19487035274505615},{"id":"https://openalex.org/keywords/fixed-point-theorem","display_name":"Fixed-point theorem","score":0.10249286890029907}],"concepts":[{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.8990468978881836},{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.8494465351104736},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5329540371894836},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.524720311164856},{"id":"https://openalex.org/C40429337","wikidata":"https://www.wikidata.org/wiki/Q1108687","display_name":"Factor theorem","level":4,"score":0.4384691119194031},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.43445754051208496},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43220335245132446},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3314379155635834},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.32505443692207336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2683744430541992},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2617175281047821},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21690776944160461},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2145293951034546},{"id":"https://openalex.org/C206929604","wikidata":"https://www.wikidata.org/wiki/Q530152","display_name":"Picard\u2013Lindel\u00f6f theorem","level":3,"score":0.19487035274505615},{"id":"https://openalex.org/C45962547","wikidata":"https://www.wikidata.org/wiki/Q1422068","display_name":"Fixed-point theorem","level":2,"score":0.10249286890029907},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/redundancy48165.2019.9003344","is_oa":false,"landing_page_url":"https://doi.org/10.1109/redundancy48165.2019.9003344","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 XVI International Symposium \"Problems of Redundancy in Information and Control Systems\" (REDUNDANCY)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https://openalex.org/W1562183207"],"related_works":["https://openalex.org/W4287823239","https://openalex.org/W1984910481","https://openalex.org/W2154733965","https://openalex.org/W1608773862","https://openalex.org/W2366394750","https://openalex.org/W2393337705","https://openalex.org/W2161621882","https://openalex.org/W4388257762","https://openalex.org/W2170618847","https://openalex.org/W2330864077"],"abstract_inverted_index":{"This":[0],"article":[1],"is":[2,26,43],"dedicated":[3],"to":[4],"an":[5],"alternative":[6],"method":[7,30,42],"of":[8,10,23,31,39],"solving":[9],"the":[11,19,29,40],"Chinese":[12],"Remainder":[13],"Theorem":[14],"for":[15],"polynomials.":[16],"To":[17],"construct":[18],"solution,":[20],"a":[21],"system":[22],"linear":[24],"equations":[25],"constructed":[27],"(using":[28],"undetermined":[32],"coefficients)":[33],"and":[34],"then":[35],"solved.":[36],"The":[37],"complexity":[38],"proposed":[41],"also":[44],"calculated.":[45]},"counts_by_year":[{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}