{"id":"https://openalex.org/W4285239497","doi":"https://doi.org/10.3934/amc.2022048","title":"Estimate of 4-adic complexity of unified quaternary sequences of length $ 2p $","display_name":"Estimate of 4-adic complexity of unified quaternary sequences of length $ 2p $","publication_year":2022,"publication_date":"2022-01-01","ids":{"openalex":"https://openalex.org/W4285239497","doi":"https://doi.org/10.3934/amc.2022048"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2022048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022048","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=247f5a37-6e11-4bd6-aa1f-b46faeb0bf0f","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=247f5a37-6e11-4bd6-aa1f-b46faeb0bf0f","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070625612","display_name":"Vladimir Edemskiy","orcid":"https://orcid.org/0000-0003-1368-3827"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vladimir Edemskiy","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036865863","display_name":"Sofia Koltsova","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sofia Koltsova","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070625612"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1379,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.53291536,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"16","issue":"4","first_page":"733","last_page":"740"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9837999939918518,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9775000214576721,"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/mathematics","display_name":"Mathematics","score":0.8631359338760376},{"id":"https://openalex.org/keywords/autocorrelation","display_name":"Autocorrelation","score":0.7313387989997864},{"id":"https://openalex.org/keywords/quaternary","display_name":"Quaternary","score":0.43191713094711304},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3374529778957367},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3255777359008789},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3242987096309662},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3209483027458191},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12907108664512634}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8631359338760376},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7313387989997864},{"id":"https://openalex.org/C160464908","wikidata":"https://www.wikidata.org/wiki/Q26185","display_name":"Quaternary","level":2,"score":0.43191713094711304},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3374529778957367},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3255777359008789},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3242987096309662},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3209483027458191},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12907108664512634},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2022048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022048","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=247f5a37-6e11-4bd6-aa1f-b46faeb0bf0f","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2022048","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022048","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=247f5a37-6e11-4bd6-aa1f-b46faeb0bf0f","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4285239497.pdf","grobid_xml":"https://content.openalex.org/works/W4285239497.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2506161443","https://openalex.org/W2504227489","https://openalex.org/W115770146","https://openalex.org/W2492808166","https://openalex.org/W560241451","https://openalex.org/W2374784581","https://openalex.org/W570570694","https://openalex.org/W2355891792","https://openalex.org/W2506413574","https://openalex.org/W2487479034"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>We":[1],"derive":[2],"the":[3,32,54,57],"4-adic":[4,33,46],"complexity":[5,34],"of":[6,35,42,56],"unified":[7],"quaternary":[8],"sequences":[9,17,37],"with":[10,18],"period":[11],"<inline-formula><tex-math":[12],"id=\"M2\">\\begin{document}$":[13],"2p":[14],"$\\end{document}</tex-math></inline-formula>.":[15],"These":[16],"good":[19,50],"autocorrelation":[20],"properties":[21],"are":[22],"proposed":[23],"by":[24],"Ke":[25],"et":[26],"al.":[27],"in":[28],"2020.":[29],"We":[30],"estimate":[31],"aforementioned":[36],"and":[38],"show":[39],"that":[40],"any":[41],"them":[43],"has":[44],"high":[45],"complexity,":[47],"which":[48],"is":[49],"enough":[51],"to":[52],"resist":[53],"attack":[55],"rational":[58],"approximation":[59],"algorithm.":[60]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}
