{"id":"https://openalex.org/W3095879426","doi":"https://doi.org/10.1080/01611194.2020.1827312","title":"Improvements on <i>k</i>-error linear complexity of <i>q</i>-ary sequences derived from Euler quotients","display_name":"Improvements on <i>k</i>-error linear complexity of <i>q</i>-ary sequences derived from Euler quotients","publication_year":2020,"publication_date":"2020-11-04","ids":{"openalex":"https://openalex.org/W3095879426","doi":"https://doi.org/10.1080/01611194.2020.1827312","mag":"3095879426"},"language":"en","primary_location":{"id":"doi:10.1080/01611194.2020.1827312","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01611194.2020.1827312","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","raw_type":"journal-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/A5070625612","display_name":"Vladimir Edemskiy","orcid":"https://orcid.org/0000-0003-1368-3827"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Vladimir Edemskiy","raw_affiliation_strings":["View further author information"],"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055275609","display_name":"Chenhuang Wu","orcid":"https://orcid.org/0000-0001-8002-7630"},"institutions":[{"id":"https://openalex.org/I4210108542","display_name":"Schlumberger (Ireland)","ror":"https://ror.org/01mcc7007","country_code":"IE","type":"company","lineage":["https://openalex.org/I4210092184","https://openalex.org/I4210108542"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Chenhuang Wu","raw_affiliation_strings":["Correspondenceptuwch@163.com"],"affiliations":[{"raw_affiliation_string":"Correspondenceptuwch@163.com","institution_ids":["https://openalex.org/I4210108542"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5064473849","display_name":"Chunxiang Xu","orcid":"https://orcid.org/0000-0002-5411-7621"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chunxiang Xu","raw_affiliation_strings":["View further author information"],"affiliations":[{"raw_affiliation_string":"View further author information","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055275609"],"corresponding_institution_ids":["https://openalex.org/I4210108542"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.13632888,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"46","issue":"2","first_page":"148","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.989799976348877,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/modulo","display_name":"Modulo","score":0.8813007473945618},{"id":"https://openalex.org/keywords/quotient","display_name":"Quotient","score":0.8457819223403931},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7196307182312012},{"id":"https://openalex.org/keywords/eulers-formula","display_name":"Euler's formula","score":0.6948418617248535},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5828553438186646},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4351655840873718},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3400805592536926},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.311393141746521},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.15565705299377441}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.8813007473945618},{"id":"https://openalex.org/C199422724","wikidata":"https://www.wikidata.org/wiki/Q41118","display_name":"Quotient","level":2,"score":0.8457819223403931},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7196307182312012},{"id":"https://openalex.org/C62884695","wikidata":"https://www.wikidata.org/wiki/Q184871","display_name":"Euler's formula","level":2,"score":0.6948418617248535},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5828553438186646},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4351655840873718},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3400805592536926},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.311393141746521},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.15565705299377441}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1080/01611194.2020.1827312","is_oa":false,"landing_page_url":"https://doi.org/10.1080/01611194.2020.1827312","pdf_url":null,"source":{"id":"https://openalex.org/S185196701","display_name":"Cryptologia","issn_l":"0161-1194","issn":["0161-1194","1558-1586"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptologia","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321878","display_name":"Natural Science Foundation of Fujian Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1567281213","https://openalex.org/W1571317543","https://openalex.org/W1835999485","https://openalex.org/W1981001466","https://openalex.org/W1982389492","https://openalex.org/W1988398808","https://openalex.org/W2006668161","https://openalex.org/W2020867654","https://openalex.org/W2030658611","https://openalex.org/W2048485798","https://openalex.org/W2050569702","https://openalex.org/W2071352202","https://openalex.org/W2089294177","https://openalex.org/W2126085961","https://openalex.org/W2132474171","https://openalex.org/W2282058484","https://openalex.org/W2790019251","https://openalex.org/W2886192104","https://openalex.org/W2962651094","https://openalex.org/W3010703946","https://openalex.org/W3011045578","https://openalex.org/W3098598728","https://openalex.org/W4233185505","https://openalex.org/W4298013611"],"related_works":["https://openalex.org/W2117548279","https://openalex.org/W2097470475","https://openalex.org/W2070252991","https://openalex.org/W2807449856","https://openalex.org/W2941201715","https://openalex.org/W2025727968","https://openalex.org/W2951152791","https://openalex.org/W2070522125","https://openalex.org/W2610731699","https://openalex.org/W4396915211"],"abstract_inverted_index":{"In":[0,64],"this":[1],"paper,":[2],"we":[3,66],"generalize":[4,67],"the":[5,8,22,28,50,68,80,90],"results":[6,69],"about":[7,78],"k-error":[9,51,79],"linear":[10,52],"complexity":[11,53],"of":[12,30,54,70],"binary":[13,81],"sequences":[14,32,55,82,92],"derived":[15,33,56,83],"from":[16,34,57],"Euler":[17,35,58,85],"quotients":[18,36,59,86],"modulo":[19,37,87],"pr\u22121":[20],"on":[21,89],"q-ary":[23,31],"sequences.":[24],"We":[25],"also":[26],"continue":[27],"study":[29],"2p":[38,88],"started":[39],"by":[40,84],"R.":[41],"Mohammed":[42],"et":[43,72],"al.":[44,73],"(LNCS,":[45],"11634,":[46],"2019)":[47],"and":[48],"investigate":[49],"with":[60,93],"a":[61,94],"period":[62,95],"2pr.":[63,96],"particular,":[65],"Wu":[71],"(IEEE":[74],"Access,":[75],"8,":[76],"2020)":[77],"same":[91]},"counts_by_year":[{"year":2024,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}