{"id":"https://openalex.org/W4398758187","doi":"https://doi.org/10.3934/amc.2024022","title":"New ternary LCD cyclic and BCH codes","display_name":"New ternary LCD cyclic and BCH codes","publication_year":2024,"publication_date":"2024-05-23","ids":{"openalex":"https://openalex.org/W4398758187","doi":"https://doi.org/10.3934/amc.2024022"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2024022","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024022","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=664c0b68abc893368bc64e57","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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/data/article/export-pdf?id=664c0b68abc893368bc64e57","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087435772","display_name":"C. Xie","orcid":"https://orcid.org/0009-0004-0249-9519"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Conghui Xie","raw_affiliation_strings":["College of Information Science and Technology/Cyber Security, Jinan University, Guangzhou, Guangdong Province, 510632, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology/Cyber Security, Jinan University, Guangzhou, Guangdong Province, 510632, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060351425","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0002-4558-8982"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Information Science and Technology/Cyber Security, Jinan University, Guangzhou, Guangdong Province, 510632, China"],"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology/Cyber Security, Jinan University, Guangzhou, Guangdong Province, 510632, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007426228","display_name":"Chengju Li","orcid":"https://orcid.org/0000-0002-2546-8641"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengju Li","raw_affiliation_strings":["Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, 200062, China"],"affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, 200062, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087435772"],"corresponding_institution_ids":["https://openalex.org/I159948400"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05622326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"19","issue":"2","first_page":"748","last_page":"754"},"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":0.9998999834060669,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9976999759674072,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.9480290412902832},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8947440981864929},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.7372108101844788},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.37890541553497314},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.16313034296035767},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.13852789998054504},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.11517474055290222},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06446442008018494}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.9480290412902832},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8947440981864929},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.7372108101844788},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.37890541553497314},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.16313034296035767},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.13852789998054504},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.11517474055290222},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06446442008018494}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2024022","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024022","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=664c0b68abc893368bc64e57","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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.2024022","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2024022","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=664c0b68abc893368bc64e57","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","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":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4398758187.pdf"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1980741888","https://openalex.org/W1999721813","https://openalex.org/W2026316191","https://openalex.org/W2051788381","https://openalex.org/W2083774980","https://openalex.org/W2489562663","https://openalex.org/W2491978534","https://openalex.org/W2730715834","https://openalex.org/W3099429067","https://openalex.org/W3121556672","https://openalex.org/W3216147140","https://openalex.org/W4206775542","https://openalex.org/W4212825216","https://openalex.org/W4292806204"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2912502034","https://openalex.org/W2319574489","https://openalex.org/W2035908476","https://openalex.org/W2506979107","https://openalex.org/W4239727543","https://openalex.org/W2612882049","https://openalex.org/W2284101512","https://openalex.org/W1604083761","https://openalex.org/W2262711716"],"abstract_inverted_index":{"The":[0],"intersection":[1],"$":[2,7,12,15,19,22,36,39,44,47],"{":[3,5,13,20,37,45],"\\mathcal{C}}\\bigcap":[4],"\\mathcal{C}}^{\\perp}":[6,21],"of":[8,27,33,61],"a":[9],"linear":[10],"code":[11,35,43],"\\mathcal{C}}":[14,38,46],"and":[16,65],"its":[17],"dual":[18],"is":[23,40,48],"called":[24,49],"the":[25,31,34,42],"hull":[26,32],"this":[28,54],"code.":[29,52],"When":[30],"zero,":[41],"an":[50],"LCD":[51,63],"In":[53],"paper,":[55],"we":[56,69],"construct":[57],"two":[58],"new":[59],"families":[60],"ternary":[62],"cyclic":[64,76],"BCH":[66],"codes.":[67],"Actually,":[68],"give":[70],"some":[71],"lengths":[72,80],"such":[73],"that":[74],"any":[75],"codes":[77],"with":[78],"these":[79],"are":[81],"always":[82],"LCD.":[83]},"counts_by_year":[],"updated_date":"2025-12-22T23:10:17.713674","created_date":"2025-10-10T00:00:00"}