{"id":"https://openalex.org/W3046481641","doi":"https://doi.org/10.1109/access.2020.3013122","title":"Computing the 2-Adic Complexity of Two Classes Generalized Cyclotomic Sequences","display_name":"Computing the 2-Adic Complexity of Two Classes Generalized Cyclotomic Sequences","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3046481641","doi":"https://doi.org/10.1109/access.2020.3013122","mag":"3046481641"},"language":"en","primary_location":{"id":"doi:10.1109/access.2020.3013122","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013122","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09152982.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09152982.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5063986684","display_name":"Shiwen Sun","orcid":null},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shiwen Sun","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Sciences, China University of Petroleum, Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326651","display_name":"Tongjiang Yan","orcid":"https://orcid.org/0000-0002-9647-503X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongjiang Yan","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-9647-503X","affiliations":[{"raw_affiliation_string":"College of Sciences, China University of Petroleum, Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100649795","display_name":"Yuhua Sun","orcid":"https://orcid.org/0000-0002-9046-1091"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhua Sun","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"raw_orcid":"https://orcid.org/0000-0002-9046-1091","affiliations":[{"raw_affiliation_string":"College of Sciences, China University of Petroleum, Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073882292","display_name":"Ming Yan","orcid":"https://orcid.org/0000-0001-9888-0744"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Yan","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Sciences, China University of Petroleum, Qingdao, China","institution_ids":["https://openalex.org/I4210162190"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":0.4062,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.69618843,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":"8","issue":null,"first_page":"140478","last_page":"140485"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9936000108718872,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9901000261306763,"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/notation","display_name":"Notation","score":0.7891846895217896},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6056511998176575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5142011642456055},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3989485204219818},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3970905840396881},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3437645733356476},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3343631625175476},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28819626569747925},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21662992238998413},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.20338812470436096},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1948815882205963}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.7891846895217896},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6056511998176575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5142011642456055},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3989485204219818},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3970905840396881},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3437645733356476},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3343631625175476},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28819626569747925},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21662992238998413},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.20338812470436096},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1948815882205963}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2020.3013122","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013122","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09152982.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:da504a3795a041069d1d8e0a7bc44c99","is_oa":true,"landing_page_url":"https://doaj.org/article/da504a3795a041069d1d8e0a7bc44c99","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 8, Pp 140478-140485 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2020.3013122","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2020.3013122","pdf_url":"https://ieeexplore.ieee.org/ielx7/6287639/8948470/09152982.pdf","source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1137473495","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2627862051","display_name":null,"funder_award_id":"ZD2019-183-008","funder_id":"https://openalex.org/F4320321570","funder_display_name":"China National Petroleum Corporation"},{"id":"https://openalex.org/G4128833777","display_name":null,"funder_award_id":"ZD2019-183-001","funder_id":"https://openalex.org/F4320321570","funder_display_name":"China National Petroleum Corporation"},{"id":"https://openalex.org/G5632896887","display_name":null,"funder_award_id":"ZD2019-183-008","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8961316532","display_name":null,"funder_award_id":"ZD2019-18","funder_id":"https://openalex.org/F4320321570","funder_display_name":"China National Petroleum Corporation"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321570","display_name":"China National Petroleum Corporation","ror":"https://ror.org/05269d038"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046481641.pdf","grobid_xml":"https://content.openalex.org/works/W3046481641.grobid-xml"},"referenced_works_count":13,"referenced_works":["https://openalex.org/W2036676363","https://openalex.org/W2070021685","https://openalex.org/W2072930281","https://openalex.org/W2163925910","https://openalex.org/W2227193062","https://openalex.org/W2581859635","https://openalex.org/W2612667250","https://openalex.org/W2791711316","https://openalex.org/W2996690497","https://openalex.org/W3149750715","https://openalex.org/W4246959701","https://openalex.org/W6630683484","https://openalex.org/W6772151600"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2504004674","https://openalex.org/W1987679298","https://openalex.org/W2963177394","https://openalex.org/W4313359513","https://openalex.org/W2498744856","https://openalex.org/W4390482104","https://openalex.org/W322408318","https://openalex.org/W149041114","https://openalex.org/W1965815883"],"abstract_inverted_index":{"This":[0],"paper":[1],"contributes":[2],"to":[3,97],"analyze":[4],"the":[5,76,99],"2-adic":[6,77],"complexity":[7,78],"of":[8,11,19,24,26,79,101],"a":[9,17],"class":[10,18],"Ding-Helleseth":[12],"generalized":[13,21],"cyclotomic":[14,22],"sequences":[15,23,81],"and":[16,41],"Whiteman":[20],"periods":[25],"<inline-formula":[27,35,42,54,62,85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[28,36,43,55,63,86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[29,37,44,56,64,87],"<tex-math":[30,38,45,57,65,88],"notation=\"LaTeX\">$N=pq$":[31],"</tex-math></inline-formula>":[32,40,47,60,70,90],",":[33],"where":[34],"notation=\"LaTeX\">$p$":[39],"notation=\"LaTeX\">$q$":[46],"are":[48],"two":[49],"odd":[50],"distinct":[51],"primes":[52],"with":[53],"notation=\"LaTeX\">$\\mathrm":[58],"{gcd}(p-1,q-1)=2$":[59],"satisfying":[61],"notation=\"LaTeX\">$p\\equiv":[66],"q\\equiv":[67],"3\\pmod":[68],"4$":[69],".":[71,91],"The":[72],"results":[73],"show":[74],"that":[75],"these":[80],"is":[82,94],"at":[83],"least":[84],"notation=\"LaTeX\">$pq-p-q-1$":[89],"Then":[92],"it":[93],"large":[95],"enough":[96],"resist":[98],"attacks":[100],"rational":[102],"approximation":[103],"algorithm.":[104]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}