{"id":"https://openalex.org/W2010978038","doi":"https://doi.org/10.1109/tit.1980.1056268","title":"Two applications of cyclotomic cosets to certain BCH codes (Corresp.)","display_name":"Two applications of cyclotomic cosets to certain BCH codes (Corresp.)","publication_year":1980,"publication_date":"1980-11-01","ids":{"openalex":"https://openalex.org/W2010978038","doi":"https://doi.org/10.1109/tit.1980.1056268","mag":"2010978038"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056268","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/A5018585966","display_name":"D. Mandelbaum","orcid":null},"institutions":[{"id":"https://openalex.org/I4210091818","display_name":"Eaton (United States)","ror":"https://ror.org/00czndn44","country_code":"US","type":"company","lineage":["https://openalex.org/I4210091818","https://openalex.org/I4210139942"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"D. Mandelbaum","raw_affiliation_strings":["Eatontown, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Eatontown, NJ, USA","institution_ids":["https://openalex.org/I4210091818"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018585966"],"corresponding_institution_ids":["https://openalex.org/I4210091818"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.08344753,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"26","issue":"6","first_page":"737","last_page":"738"},"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":0.9994999766349792,"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":0.9965999722480774,"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":0.9759969711303711},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.9409936666488647},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6108134984970093},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4880942106246948},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4727157950401306},{"id":"https://openalex.org/keywords/cyclotomic-polynomial","display_name":"Cyclotomic polynomial","score":0.4650007486343384},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.360923171043396},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.26742875576019287},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22848296165466309},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.11212557554244995}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.9759969711303711},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.9409936666488647},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6108134984970093},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4880942106246948},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4727157950401306},{"id":"https://openalex.org/C76253118","wikidata":"https://www.wikidata.org/wiki/Q1051983","display_name":"Cyclotomic polynomial","level":3,"score":0.4650007486343384},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.360923171043396},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.26742875576019287},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22848296165466309},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.11212557554244995},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1980.1056268","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056268","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W287165575","https://openalex.org/W1606480398","https://openalex.org/W1991965593","https://openalex.org/W1995527419","https://openalex.org/W2334439626"],"related_works":["https://openalex.org/W2088974328","https://openalex.org/W2345766612","https://openalex.org/W1975010265","https://openalex.org/W2362232446","https://openalex.org/W2393505400","https://openalex.org/W2164604678","https://openalex.org/W2164049387","https://openalex.org/W2066539480","https://openalex.org/W95404506","https://openalex.org/W2010978038"],"abstract_inverted_index":{"A":[0],"more":[1],"accurate":[2],"designed":[3],"distance":[4],"bound":[5],"is":[6,28],"given":[7],"for":[8,17],"a":[9],"subclass":[10],"of":[11,24],"narrow-sense":[12],"primitive":[13],"Bose-Chaudhuri-Hocquenghem":[14],"(BCH)":[15],"codes":[16],"which":[18],"Mann":[19],"has":[20],"found":[21],"the":[22,38],"number":[23],"information":[25],"digits.":[26],"It":[27],"also":[29],"determined":[30],"when":[31],"two":[32],"consecutive":[33],"odd":[34],"integers":[35],"are":[36],"in":[37],"same":[39],"cyclotomic":[40],"coset.":[41]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
