{"id":"https://openalex.org/W3037178213","doi":"https://doi.org/10.1109/dessert50317.2020.9125049","title":"Techniques for Raising the Remainder to a Power in the System of Residual Classes","display_name":"Techniques for Raising the Remainder to a Power in the System of Residual Classes","publication_year":2020,"publication_date":"2020-05-01","ids":{"openalex":"https://openalex.org/W3037178213","doi":"https://doi.org/10.1109/dessert50317.2020.9125049","mag":"3037178213"},"language":"en","primary_location":{"id":"doi:10.1109/dessert50317.2020.9125049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dessert50317.2020.9125049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 11th International Conference on Dependable Systems, Services and Technologies (DESSERT)","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/A5019214396","display_name":"Victor Krasnobayev","orcid":"https://orcid.org/0000-0001-5192-9918"},"institutions":[{"id":"https://openalex.org/I8765205","display_name":"V. N. Karazin Kharkiv National University","ror":"https://ror.org/03ftejk10","country_code":"UA","type":"education","lineage":["https://openalex.org/I8765205"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Victor Krasnobayev","raw_affiliation_strings":["Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine","institution_ids":["https://openalex.org/I8765205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018508159","display_name":"Alexandr Kuznetsov","orcid":"https://orcid.org/0000-0003-2331-6326"},"institutions":[{"id":"https://openalex.org/I8765205","display_name":"V. N. Karazin Kharkiv National University","ror":"https://ror.org/03ftejk10","country_code":"UA","type":"education","lineage":["https://openalex.org/I8765205"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Alexandr Kuznetsov","raw_affiliation_strings":["Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine","institution_ids":["https://openalex.org/I8765205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091823036","display_name":"\u0406\u0440\u0438\u043d\u0430 \u041b\u043e\u043a\u043e\u0442\u043a\u043e\u0432\u0430","orcid":null},"institutions":[{"id":"https://openalex.org/I8765205","display_name":"V. N. Karazin Kharkiv National University","ror":"https://ror.org/03ftejk10","country_code":"UA","type":"education","lineage":["https://openalex.org/I8765205"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Irina Lokotkova","raw_affiliation_strings":["Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine","institution_ids":["https://openalex.org/I8765205"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031481035","display_name":"\u0410\u043d\u0430\u0441\u0442\u0430\u0441\u0456\u044f \u041a\u0456\u044f\u043d","orcid":"https://orcid.org/0000-0003-2110-010X"},"institutions":[{"id":"https://openalex.org/I8765205","display_name":"V. N. Karazin Kharkiv National University","ror":"https://ror.org/03ftejk10","country_code":"UA","type":"education","lineage":["https://openalex.org/I8765205"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Anastasiia Kiian","raw_affiliation_strings":["Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine","institution_ids":["https://openalex.org/I8765205"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5052007056","display_name":"\u0422\u0435\u0442\u044f\u043d\u0430 \u041a\u0443\u0437\u043d\u0435\u0446\u043e\u0432\u0430","orcid":"https://orcid.org/0000-0001-6154-7139"},"institutions":[{"id":"https://openalex.org/I8765205","display_name":"V. N. Karazin Kharkiv National University","ror":"https://ror.org/03ftejk10","country_code":"UA","type":"education","lineage":["https://openalex.org/I8765205"]}],"countries":["UA"],"is_corresponding":false,"raw_author_name":"Tetiana Kuznetsova","raw_affiliation_strings":["Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine"],"affiliations":[{"raw_affiliation_string":"Department of information systems and technologies security, V. N. Karazin Kharkiv National University, Kharkiv, Ukraine","institution_ids":["https://openalex.org/I8765205"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5019214396"],"corresponding_institution_ids":["https://openalex.org/I8765205"],"apc_list":null,"apc_paid":null,"fwci":0.8007,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.79817709,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"145","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9848999977111816,"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":0.9848999977111816,"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":0.9753000140190125,"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/remainder","display_name":"Remainder","score":0.9084957242012024},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6393545866012573},{"id":"https://openalex.org/keywords/chinese-remainder-theorem","display_name":"Chinese remainder theorem","score":0.6377687454223633},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.58201664686203},{"id":"https://openalex.org/keywords/natural-number","display_name":"Natural number","score":0.5529589056968689},{"id":"https://openalex.org/keywords/raising","display_name":"Raising (metalworking)","score":0.5438939929008484},{"id":"https://openalex.org/keywords/residual","display_name":"Residual","score":0.5103990435600281},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.44919583201408386},{"id":"https://openalex.org/keywords/novelty","display_name":"Novelty","score":0.4487341046333313},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.44215211272239685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43782562017440796},{"id":"https://openalex.org/keywords/realization","display_name":"Realization (probability)","score":0.43745172023773193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3253932595252991},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.194578617811203},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.18266618251800537}],"concepts":[{"id":"https://openalex.org/C39613435","wikidata":"https://www.wikidata.org/wiki/Q846677","display_name":"Remainder","level":2,"score":0.9084957242012024},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6393545866012573},{"id":"https://openalex.org/C151635116","wikidata":"https://www.wikidata.org/wiki/Q193878","display_name":"Chinese remainder theorem","level":2,"score":0.6377687454223633},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.58201664686203},{"id":"https://openalex.org/C184264201","wikidata":"https://www.wikidata.org/wiki/Q21199","display_name":"Natural number","level":2,"score":0.5529589056968689},{"id":"https://openalex.org/C2780589192","wikidata":"https://www.wikidata.org/wiki/Q7285140","display_name":"Raising (metalworking)","level":2,"score":0.5438939929008484},{"id":"https://openalex.org/C155512373","wikidata":"https://www.wikidata.org/wiki/Q287450","display_name":"Residual","level":2,"score":0.5103990435600281},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.44919583201408386},{"id":"https://openalex.org/C2778738651","wikidata":"https://www.wikidata.org/wiki/Q16546687","display_name":"Novelty","level":2,"score":0.4487341046333313},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.44215211272239685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43782562017440796},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.43745172023773193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3253932595252991},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.194578617811203},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.18266618251800537},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/dessert50317.2020.9125049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/dessert50317.2020.9125049","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE 11th International Conference on Dependable Systems, Services and Technologies (DESSERT)","raw_type":"proceedings-article"},{"id":"pmh:oai:iris.uniecampus.it:11389/71077","is_oa":false,"landing_page_url":"https://hdl.handle.net/11389/71077","pdf_url":null,"source":{"id":"https://openalex.org/S4306400077","display_name":"IRIS eCampus Telematic University (Universit\u00e0 degli Studi eCampus)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I167322064","host_organization_name":"Universit\u00e0 degli Studi eCampus","host_organization_lineage":["https://openalex.org/I167322064"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W39299451","https://openalex.org/W291431748","https://openalex.org/W1576555092","https://openalex.org/W1981297863","https://openalex.org/W2049584131","https://openalex.org/W2580000344","https://openalex.org/W2765752646","https://openalex.org/W2807984534","https://openalex.org/W2903998573","https://openalex.org/W2908963648","https://openalex.org/W2964560290","https://openalex.org/W2981699414","https://openalex.org/W2982006139","https://openalex.org/W2995071535","https://openalex.org/W2999808702","https://openalex.org/W3000320208","https://openalex.org/W3005608323","https://openalex.org/W3011151600","https://openalex.org/W3012182797","https://openalex.org/W3012452120","https://openalex.org/W3015370539","https://openalex.org/W3015564879","https://openalex.org/W3015786693","https://openalex.org/W4285719527"],"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/W2366738637"],"abstract_inverted_index":{"The":[0,60,84,128],"article":[1,91],"discusses":[2],"computer":[3],"calculations":[4],"implemented":[5],"in":[6,93,125,145],"the":[7,25,36,70,76,87,90,94,99,103,112,118,121,132,140,146],"system":[8,56],"of":[9,27,34,44,57,69,72,81,86,89,101,105,114,120,136,138,142],"residual":[10],"classes.":[11,59],"These":[12],"techniques":[13],"make":[14],"it":[15],"possible":[16],"to":[17,40,49,111],"implement":[18],"fast":[19],"and":[20],"reliable":[21],"arithmetic":[22,73],"operations,":[23],"with":[24],"possibility":[26],"parallelizing":[28],"computations.":[29],"We":[30],"propose":[31],"a":[32,45,55,66,115],"method":[33,62,100],"raising":[35,102,139],"raise":[37],"integer":[38],"residues":[39],"an":[41,50,108],"arbitrary":[42,51,109],"power":[43,113],"natural":[46,116],"number":[47],"according":[48],"module":[52],"represented":[53],"by":[54,107],"residue":[58],"proposed":[61],"is":[63],"rest":[64],"on":[65],"tabular":[67,82,129],"principle":[68,130],"implementation":[71],"operations":[74],"using":[75],"code":[77],"for":[78],"information":[79],"compression":[80],"data.":[83],"novelty":[85],"material":[88],"lies":[92],"fact":[95],"that":[96],"when":[97],"implementing":[98],"remainder":[104,141],"integers":[106,143],"modulus":[110],"number,":[117],"remainders":[119],"numbers":[122],"are":[123],"presented":[124],"artificial":[126],"form.":[127],"ensures":[131],"maximum":[133],"speed":[134],"realization":[135],"operation":[137],"realized":[144],"SRC.":[147]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2020-07-02T00:00:00"}
