{"id":"https://openalex.org/W3204441932","doi":"https://doi.org/10.3934/amc.2021045","title":"On BCH split metacyclic codes","display_name":"On BCH split metacyclic codes","publication_year":2021,"publication_date":"2021-09-27","ids":{"openalex":"https://openalex.org/W3204441932","doi":"https://doi.org/10.3934/amc.2021045","mag":"3204441932"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2021045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2021045","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=4e5ba0f3-b0bf-4ec5-90a0-62ca53dcd612","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":null,"license_id":null,"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/article/exportPdf?id=4e5ba0f3-b0bf-4ec5-90a0-62ca53dcd612","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5043941712","display_name":"Angelot Behajaina","orcid":"https://orcid.org/0000-0002-7912-4238"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Angelot Behajaina","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":null,"display_name":"Normandie Univ., UNICAEN, CNRS, Laboratoire de Math\u00e9matiques Nicolas Oresme, 14000 Caen, France","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Normandie Univ., UNICAEN, CNRS, Laboratoire de Math\u00e9matiques Nicolas Oresme, 14000 Caen, France","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5043941712"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.136,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5558677,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"17","issue":"5","first_page":"1181","last_page":"1195"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9793000221252441,"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/T13779","display_name":"Cancer Mechanisms and Therapy","score":0.9786999821662903,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.9737257957458496},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8975011110305786},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5540058612823486},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48047035932540894},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4225988984107971},{"id":"https://openalex.org/keywords/dihedral-group","display_name":"Dihedral group","score":0.41347646713256836},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.20381921529769897},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17217522859573364},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.16692417860031128}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.9737257957458496},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8975011110305786},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5540058612823486},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48047035932540894},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4225988984107971},{"id":"https://openalex.org/C72409365","wikidata":"https://www.wikidata.org/wiki/Q558339","display_name":"Dihedral group","level":3,"score":0.41347646713256836},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.20381921529769897},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17217522859573364},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.16692417860031128},{"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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2021045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2021045","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=4e5ba0f3-b0bf-4ec5-90a0-62ca53dcd612","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":null,"license_id":null,"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.2021045","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2021045","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=4e5ba0f3-b0bf-4ec5-90a0-62ca53dcd612","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":null,"license_id":null,"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":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3204441932.pdf","grobid_xml":"https://content.openalex.org/works/W3204441932.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1863262461","https://openalex.org/W1964845436","https://openalex.org/W1969223581","https://openalex.org/W1984686096","https://openalex.org/W2022676089","https://openalex.org/W2039727053","https://openalex.org/W2053789337","https://openalex.org/W2056903967","https://openalex.org/W2058386696","https://openalex.org/W2083774980","https://openalex.org/W2099394043","https://openalex.org/W2111162716","https://openalex.org/W2171478552","https://openalex.org/W3010978779","https://openalex.org/W3021416461","https://openalex.org/W3081567583","https://openalex.org/W3128916341","https://openalex.org/W3134011637","https://openalex.org/W3135401399"],"related_works":["https://openalex.org/W2912502034","https://openalex.org/W3028734320","https://openalex.org/W2035908476","https://openalex.org/W2506979107","https://openalex.org/W4239727543","https://openalex.org/W2284101512","https://openalex.org/W2612882049","https://openalex.org/W4311168466","https://openalex.org/W2951146762","https://openalex.org/W2129090975"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>Recently,":[1],"Borello":[2],"and":[3,13],"Jamous":[4],"have":[5],"investigated":[6],"some":[7,32],"lower":[8],"bounds":[9],"on":[10],"the":[11,22],"dimension":[12],"minimum":[14],"distance":[15],"for":[16],"dihedral":[17],"codes,":[18,39],"in":[19],"analogy":[20],"with":[21],"theory":[23],"of":[24,33,46],"BCH":[25],"codes.":[26],"In":[27],"this":[28],"paper,":[29],"we":[30],"extend":[31],"their":[34],"results":[35],"to":[36],"split":[37],"metacyclic":[38],"that":[40],"is,":[41],"codes":[42],"over":[43],"semidirect":[44],"products":[45],"cyclic":[47],"groups.":[48]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}