{"id":"https://openalex.org/W2036538870","doi":"https://doi.org/10.1109/tit.2015.2409838","title":"The Bose and Minimum Distance of a Class of BCH Codes","display_name":"The Bose and Minimum Distance of a Class of BCH Codes","publication_year":2015,"publication_date":"2015-03-09","ids":{"openalex":"https://openalex.org/W2036538870","doi":"https://doi.org/10.1109/tit.2015.2409838","mag":"2036538870"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2409838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2409838","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/A5074480584","display_name":"Cunsheng Ding","orcid":"https://orcid.org/0000-0001-9392-9860"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I889458895","display_name":"University of Hong Kong","ror":"https://ror.org/02zhqgq86","country_code":"HK","type":"education","lineage":["https://openalex.org/I889458895"]}],"countries":["HK"],"is_corresponding":true,"raw_author_name":"Cunsheng Ding","raw_affiliation_strings":["Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong","Department of Computer Science & Engineering, The Hong Kong University of Science & Technology, Hong Kong"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Department of Computer Science & Engineering, The Hong Kong University of Science & Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5015593287","display_name":"Xiaoni Du","orcid":"https://orcid.org/0009-0004-7023-5566"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoni Du","raw_affiliation_strings":["College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","[College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China]"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China","institution_ids":["https://openalex.org/I68986083"]},{"raw_affiliation_string":"[College of Mathematics and Statistics, Northwest Normal University, Lanzhou, China]","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004913173","display_name":"Zhengchun Zhou","orcid":"https://orcid.org/0000-0002-0228-7119"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengchun Zhou","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China","School of Mathematics, Southwest Jiaotong University Chengdu China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University Chengdu China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074480584"],"corresponding_institution_ids":["https://openalex.org/I200769079","https://openalex.org/I889458895"],"apc_list":null,"apc_paid":null,"fwci":15.1335,"has_fulltext":false,"cited_by_count":113,"citation_normalized_percentile":{"value":0.9893099,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":100},"biblio":{"volume":"61","issue":"5","first_page":"2351","last_page":"2356"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9973999857902527,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9970999956130981,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.9826076030731201},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5676122307777405},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5521668791770935},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5129563212394714},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5093265771865845},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.4907585084438324},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4759142994880676},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.47342780232429504},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.451813280582428},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4285470247268677},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.41940760612487793},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3856830596923828},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.38006889820098877},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.19723087549209595}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.9826076030731201},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5676122307777405},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5521668791770935},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5129563212394714},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5093265771865845},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.4907585084438324},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4759142994880676},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.47342780232429504},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.451813280582428},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4285470247268677},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41940760612487793},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3856830596923828},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.38006889820098877},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.19723087549209595}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2015.2409838","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2409838","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"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-67841","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-67841","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G372443012","display_name":null,"funder_award_id":"61462077","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4353521228","display_name":null,"funder_award_id":"61201243","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G554414656","display_name":null,"funder_award_id":"2015JQO004","funder_id":"https://openalex.org/F4320325964","funder_display_name":"Sichuan Provincial Youth Science and Technology Fund"},{"id":"https://openalex.org/G6113055682","display_name":null,"funder_award_id":"61202395","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G792821952","display_name":null,"funder_award_id":"601013","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"},{"id":"https://openalex.org/G8234923115","display_name":null,"funder_award_id":"NCET-12-0620","funder_id":"https://openalex.org/F4320334924","funder_display_name":"Program for New Century Excellent Talents in University"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321592","display_name":"Research Grants Council, University Grants Committee","ror":"https://ror.org/00djwmt25"},{"id":"https://openalex.org/F4320325964","display_name":"Sichuan Provincial Youth Science and Technology Fund","ror":null},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W5674887","https://openalex.org/W95404506","https://openalex.org/W1504661033","https://openalex.org/W1559343931","https://openalex.org/W1606480398","https://openalex.org/W1963935286","https://openalex.org/W1983551397","https://openalex.org/W1991965593","https://openalex.org/W2060709210","https://openalex.org/W2141509742","https://openalex.org/W2154075508","https://openalex.org/W4206775542","https://openalex.org/W6600235561"],"related_works":["https://openalex.org/W2952710341","https://openalex.org/W2013901888","https://openalex.org/W1570954324","https://openalex.org/W2394020598","https://openalex.org/W1721371164","https://openalex.org/W2092009244","https://openalex.org/W2103585214","https://openalex.org/W2088543241","https://openalex.org/W2186404945","https://openalex.org/W3217296246"],"abstract_inverted_index":{"Cyclic":[0],"codes":[1,8,19,25,61],"are":[2,27,42,62],"an":[3],"interesting":[4],"class":[5,82],"of":[6,23,59,69,80,83],"linear":[7],"due":[9],"to":[10,73],"their":[11],"efficient":[12],"encoding":[13],"and":[14,26,33,41,50,56,77],"decoding":[15],"algorithms.":[16],"Bose-Ray-Chaudhuri-Hocquenghem":[17],"(BCH)":[18],"form":[20],"a":[21,81],"subclass":[22],"cyclic":[24],"very":[28],"important":[29],"in":[30,45,65],"both":[31],"theory":[32],"practice":[34],"as":[35],"they":[36],"have":[37],"good":[38],"error-correcting":[39],"capability":[40],"widely":[43],"used":[44],"communication":[46],"systems,":[47],"storage":[48],"devices,":[49],"consumer":[51],"electronics.":[52],"However,":[53],"the":[54,75],"dimension":[55],"minimum":[57,78],"distance":[58],"BCH":[60,86],"not":[63],"known":[64],"general.":[66],"The":[67],"objective":[68],"this":[70],"paper":[71],"is":[72],"determine":[74],"Bose":[76],"distances":[79],"narrow-sense":[84],"primitive":[85],"codes.":[87]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":17},{"year":2023,"cited_by_count":14},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":12},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":14},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":4}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
