{"id":"https://openalex.org/W3039305231","doi":"https://doi.org/10.1109/lcomm.2020.3007426","title":"Generalized Cyclotomic Double Circulant Self-Dual Codes of Length 4<i>p</i>","display_name":"Generalized Cyclotomic Double Circulant Self-Dual Codes of Length 4<i>p</i>","publication_year":2020,"publication_date":"2020-07-06","ids":{"openalex":"https://openalex.org/W3039305231","doi":"https://doi.org/10.1109/lcomm.2020.3007426","mag":"3039305231"},"language":"en","primary_location":{"id":"doi:10.1109/lcomm.2020.3007426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3007426","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Communications Letters","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/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":true,"raw_author_name":"Tongjiang Yan","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"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/A5072680871","display_name":"Wenpeng Gao","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":"Wenpeng Gao","raw_affiliation_strings":["College of Sciences, China University of Petroleum, Qingdao, China"],"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/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"],"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":3,"corresponding_author_ids":["https://openalex.org/A5100326651"],"corresponding_institution_ids":["https://openalex.org/I4210162190"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07226437,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"11","first_page":"2401","last_page":"2405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T10849","display_name":"Finite Group Theory Research","score":0.9833999872207642,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9807999730110168,"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/circulant-matrix","display_name":"Circulant matrix","score":0.8554439544677734},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6940894722938538},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5955578088760376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5903632044792175},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5845139026641846},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5176272988319397},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.4860106408596039},{"id":"https://openalex.org/keywords/group-code","display_name":"Group code","score":0.43691858649253845},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.31289058923721313},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.28093379735946655},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.15437451004981995},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14954641461372375}],"concepts":[{"id":"https://openalex.org/C115973184","wikidata":"https://www.wikidata.org/wiki/Q245457","display_name":"Circulant matrix","level":2,"score":0.8554439544677734},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6940894722938538},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5955578088760376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5903632044792175},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5845139026641846},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5176272988319397},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.4860106408596039},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.43691858649253845},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.31289058923721313},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.28093379735946655},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.15437451004981995},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14954641461372375},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/lcomm.2020.3007426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/lcomm.2020.3007426","pdf_url":null,"source":{"id":"https://openalex.org/S147316732","display_name":"IEEE Communications Letters","issn_l":"1089-7798","issn":["1089-7798","1558-2558","2373-7891"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Communications Letters","raw_type":"journal-article"}],"best_oa_location":null,"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/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"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W85833243","https://openalex.org/W1592261758","https://openalex.org/W1966360582","https://openalex.org/W1976677460","https://openalex.org/W2005235240","https://openalex.org/W2045811369","https://openalex.org/W2068621477","https://openalex.org/W2075359144","https://openalex.org/W2102520548","https://openalex.org/W2117368247","https://openalex.org/W2132314612","https://openalex.org/W2227193062","https://openalex.org/W2301778187","https://openalex.org/W2401772712","https://openalex.org/W2593147823","https://openalex.org/W2593755762","https://openalex.org/W2759610897","https://openalex.org/W2768176196","https://openalex.org/W2963470343","https://openalex.org/W2963544156","https://openalex.org/W2964083059","https://openalex.org/W3105396280","https://openalex.org/W3141907639","https://openalex.org/W3143088247","https://openalex.org/W3165151678","https://openalex.org/W4206482926","https://openalex.org/W4323283806","https://openalex.org/W6697468286"],"related_works":["https://openalex.org/W2293441232","https://openalex.org/W1988303232","https://openalex.org/W2964083059","https://openalex.org/W2094825648","https://openalex.org/W2138739584","https://openalex.org/W2255054582","https://openalex.org/W3169477034","https://openalex.org/W2046273783","https://openalex.org/W1824904663","https://openalex.org/W2121511452"],"abstract_inverted_index":{"Constructions":[0],"of":[1,33,41,61],"some":[2],"double":[3],"circulant":[4],"self-dual":[5,54,67],"codes":[6,35,55,68],"on":[7],"the":[8,39],"residue":[9],"ring":[10],"Z":[11],"<sub":[12],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[13],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2\u03c1</sub>":[14],",":[15],"where":[16],"p":[17,23],"is":[18],"a":[19,59],"prime":[20],"and":[21,49,58],"satisfies":[22],"\u2261":[24],"3":[25],"mod":[26],"4,":[27],"are":[28,36,71],"proposed.":[29],"Two":[30],"new":[31],"structures":[32],"these":[34],"formed":[37],"from":[38],"theory":[40],"generalized":[42],"cyclotomy.":[43],"Moreover,":[44],"both":[45],"[12,":[46],"6,":[47],"4]":[48],"[44,":[50],"22,":[51],"8]":[52],"optimal":[53],"over":[56,69],"GF(2)":[57],"family":[60],"[28,":[62],"14,":[63],"9]":[64],"highest":[65],"known":[66],"GF(4)":[70],"given.":[72]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}