{"id":"https://openalex.org/W2952598171","doi":"https://doi.org/10.1109/tit.2019.2923758","title":"LCD and Self-Orthogonal Group Codes in a Finite Abelian $p$ -Group Algebra","display_name":"LCD and Self-Orthogonal Group Codes in a Finite Abelian $p$ -Group Algebra","publication_year":2019,"publication_date":"2019-06-20","ids":{"openalex":"https://openalex.org/W2952598171","doi":"https://doi.org/10.1109/tit.2019.2923758","mag":"2952598171"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2923758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2923758","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5102000741","display_name":"Fengwei Li","orcid":"https://orcid.org/0000-0002-9493-2890"},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]},{"id":"https://openalex.org/I4210159676","display_name":"Zaozhuang University","ror":"https://ror.org/05x21tp94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210159676"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengwei Li","raw_affiliation_strings":["School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-9493-2890","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, China","institution_ids":["https://openalex.org/I4210159676"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100786671","display_name":"Qin Yue","orcid":"https://orcid.org/0000-0002-2873-5549"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin Yue","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-2873-5549","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5040712173","display_name":"Yansheng Wu","orcid":"https://orcid.org/0000-0002-7234-9119"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yansheng Wu","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-7234-9119","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3015,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.85490256,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"66","issue":"5","first_page":"2717","last_page":"2728"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9817000031471252,"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/abelian-group","display_name":"Abelian group","score":0.8639688491821289},{"id":"https://openalex.org/keywords/group-algebra","display_name":"Group algebra","score":0.6776698231697083},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.5473844408988953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4731387197971344},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4491901695728302},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.449107825756073},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42874276638031006},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.428693950176239},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.40662240982055664},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2512854337692261},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1758022904396057}],"concepts":[{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.8639688491821289},{"id":"https://openalex.org/C120047569","wikidata":"https://www.wikidata.org/wiki/Q92795049","display_name":"Group algebra","level":3,"score":0.6776698231697083},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.5473844408988953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4731387197971344},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4491901695728302},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.449107825756073},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42874276638031006},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.428693950176239},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.40662240982055664},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2512854337692261},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1758022904396057},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2019.2923758","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2923758","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3880141602","display_name":null,"funder_award_id":"61772015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5232759017","display_name":null,"funder_award_id":"KJ-17-010","funder_id":"https://openalex.org/F4320327655","funder_display_name":"Foundation of Science and Technology on Information Assurance Laboratory"},{"id":"https://openalex.org/G5280472219","display_name":null,"funder_award_id":"11601475","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327655","display_name":"Foundation of Science and Technology on Information Assurance Laboratory","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1000678420","https://openalex.org/W1603089898","https://openalex.org/W1973673225","https://openalex.org/W1975875771","https://openalex.org/W1984720033","https://openalex.org/W1999721813","https://openalex.org/W2022647331","https://openalex.org/W2030193931","https://openalex.org/W2039466900","https://openalex.org/W2043820574","https://openalex.org/W2047530348","https://openalex.org/W2073066000","https://openalex.org/W2076201772","https://openalex.org/W2081953020","https://openalex.org/W2091650625","https://openalex.org/W2136563111","https://openalex.org/W2156214988","https://openalex.org/W2491978534","https://openalex.org/W2542760130","https://openalex.org/W2592169574","https://openalex.org/W2593067933","https://openalex.org/W2601487726","https://openalex.org/W2730715834","https://openalex.org/W2766685446","https://openalex.org/W2770686771","https://openalex.org/W2787275646","https://openalex.org/W2940586131","https://openalex.org/W2963721706","https://openalex.org/W3103355403","https://openalex.org/W3121556672","https://openalex.org/W6761699980"],"related_works":["https://openalex.org/W2378598099","https://openalex.org/W2611275940","https://openalex.org/W2367539883","https://openalex.org/W4206878504","https://openalex.org/W2324609820","https://openalex.org/W1955455432","https://openalex.org/W4299961354","https://openalex.org/W2792983602","https://openalex.org/W2146039991","https://openalex.org/W2113086049"],"abstract_inverted_index":{"Let":[0,22],"F":[1,30,56,78],"<sub":[2,31,57,79],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[3,32,58,80],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[4,33,59,81],"be":[5,14,24,35],"a":[6,15,25,36],"finite":[7,26],"field":[8],"with":[9,17,70],"q":[10],"elements":[11],"and":[12,29,47,73],"p":[13],"prime":[16],"gcd(p,":[18],"q)":[19],"=":[20],"1.":[21],"G":[23],"abelian":[27,49,66,75],"p-group":[28],"(G)":[34],"group":[37,50,54],"algebra.":[38],"In":[39],"this":[40],"paper,":[41],"we":[42,62],"find":[43],"all":[44,64],"primitive":[45],"idempotents":[46],"minimal":[48],"codes":[51,67,76],"in":[52],"the":[53],"algebra":[55],"(G).":[60,82],"Furthermore,":[61],"give":[63],"LCD":[65],"(linear":[68],"code":[69],"complementary":[71],"dual)":[72],"self-orthogonal":[74],"of":[77]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}