{"id":"https://openalex.org/W4386233437","doi":"https://doi.org/10.1109/tit.2023.3307732","title":"An Infinite Family of Binary Cyclic Codes With Best Parameters","display_name":"An Infinite Family of Binary Cyclic Codes With Best Parameters","publication_year":2023,"publication_date":"2023-08-28","ids":{"openalex":"https://openalex.org/W4386233437","doi":"https://doi.org/10.1109/tit.2023.3307732"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3307732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3307732","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/A5047549483","display_name":"Zhonghua Sun","orcid":"https://orcid.org/0000-0002-8975-1163"},"institutions":[{"id":"https://openalex.org/I16365422","display_name":"Hefei University of Technology","ror":"https://ror.org/02czkny70","country_code":"CN","type":"education","lineage":["https://openalex.org/I16365422"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhonghua Sun","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0002-8975-1163","affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"middle","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, China"],"raw_orcid":"https://orcid.org/0000-0002-2546-8641","affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"last","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"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Cunsheng Ding","raw_affiliation_strings":["Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong, China"],"raw_orcid":"https://orcid.org/0000-0001-9392-9860","affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.2657,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.90476163,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":"70","issue":"4","first_page":"2411","last_page":"2418"},"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":0.9729999899864197,"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/T14281","display_name":"Islamic Finance and Communication","score":0.9677000045776367,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6549408435821533},{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.4289293885231018},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3971294164657593},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34169426560401917},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3064378499984741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.29026541113853455},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12190750241279602},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08818146586418152}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6549408435821533},{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.4289293885231018},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3971294164657593},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34169426560401917},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3064378499984741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.29026541113853455},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12190750241279602},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08818146586418152}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2023.3307732","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3307732","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:1783.1-130091","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-130091","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":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1245428710","display_name":null,"funder_award_id":"T2322007","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G163520829","display_name":null,"funder_award_id":"22QA1403200","funder_id":"https://openalex.org/F4320327803","funder_display_name":"Shanghai Rising-Star Program"},{"id":"https://openalex.org/G1853049553","display_name":null,"funder_award_id":"U21A20428","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3478839853","display_name":null,"funder_award_id":"12171134","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7573718114","display_name":null,"funder_award_id":"62002093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7955105451","display_name":"\u7ebf\u6027\u7801\u7684\u6b63\u4ea4\u5305\u53ca\u76f8\u5173\u95ee\u9898\u7814\u7a76","funder_award_id":"12071138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8319286073","display_name":"The duals of BCH codes","funder_award_id":"16302121","funder_id":"https://openalex.org/F4320321592","funder_display_name":"Research Grants Council, University Grants Committee"}],"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/F4320327803","display_name":"Shanghai Rising-Star Program","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":45,"referenced_works":["https://openalex.org/W95404506","https://openalex.org/W584522352","https://openalex.org/W1538532843","https://openalex.org/W1556443961","https://openalex.org/W1606480398","https://openalex.org/W1982892983","https://openalex.org/W1983551397","https://openalex.org/W1991965593","https://openalex.org/W2036538870","https://openalex.org/W2060709210","https://openalex.org/W2071375432","https://openalex.org/W2083774980","https://openalex.org/W2095755044","https://openalex.org/W2110017198","https://openalex.org/W2141509742","https://openalex.org/W2153848652","https://openalex.org/W2154075508","https://openalex.org/W2171753105","https://openalex.org/W2257484815","https://openalex.org/W2304375173","https://openalex.org/W2489562663","https://openalex.org/W2730715834","https://openalex.org/W2767066543","https://openalex.org/W2794271620","https://openalex.org/W2887058924","https://openalex.org/W2902895046","https://openalex.org/W2964110229","https://openalex.org/W2964238317","https://openalex.org/W2964308721","https://openalex.org/W3014515211","https://openalex.org/W3083128045","https://openalex.org/W3105341748","https://openalex.org/W3127046705","https://openalex.org/W3203404927","https://openalex.org/W3212752911","https://openalex.org/W3215054288","https://openalex.org/W3216147140","https://openalex.org/W4205233257","https://openalex.org/W4206775542","https://openalex.org/W4255207765","https://openalex.org/W4287888918","https://openalex.org/W4365505994","https://openalex.org/W4385505927","https://openalex.org/W6633362994","https://openalex.org/W6804434002"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2748952813","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/W2951146762"],"abstract_inverted_index":{"Binary":[0],"cyclic":[1,58,199],"codes":[2,29,35,59,79],"with":[3,60,87,222],"parameters":[4,88,151,173,223],"<inline-formula":[5,38,46,80,89,98,110,125,143,152,165,174,192,215,224,234],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,39,47,81,90,99,111,126,144,153,166,175,193,216,225,235],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[7,40,48,82,91,100,112,127,145,154,167,176,194,217,226,236],"<tex-math":[8,41,49,83,92,101,113,128,146,155,168,177,195,218,227,237],"notation=\"LaTeX\">$[n,(n+1)/2,":[9],"d\\geq":[10],"\\sqrt":[11],"{n}]$":[12],"</tex-math></inline-formula>":[13,43,51,86,94,103,117,131,149,157,171,179,197,221,229,239],"are":[14,52],"very":[15],"interesting,":[16],"as":[17],"their":[18],"minimum":[19,96,202,208],"distances":[20],"have":[21],"a":[22,119],"square-root":[23,107],"bound.":[24],"The":[25,63,121,139,161],"binary":[26,33,57,77,122,134,140,162,198,212],"quadratic":[27],"residue":[28],"and":[30,71,137,158,180],"the":[31,106,133,182,207],"punctured":[32],"Reed-Muller":[34],"of":[36,56,65,76,210],"order":[37],"notation=\"LaTeX\">$(m-1)/2$":[42],"for":[44,230],"odd":[45,232],"notation=\"LaTeX\">$m$":[50,238],"two":[53],"infinite":[54,74],"families":[55],"such":[61],"parameters.":[62,185],"objective":[64],"this":[66,211],"paper":[67],"is":[68,118,132,159,189,204],"to":[69],"present":[70],"analyse":[72],"an":[73],"family":[75],"BCH":[78,123,141,163,213],"notation=\"LaTeX\">${\\mathcal":[84,129,147,169,219],"{C}}(m)$":[85,220],"notation=\"LaTeX\">$[2^{m}-1,2^{m-1},d]$":[93],"whose":[95,201],"distance":[97,203,209],"notation=\"LaTeX\">$d$":[102],"much":[104],"exceeds":[105],"bound":[108],"when":[109],"notation=\"LaTeX\">$m":[114],"\\geq":[115],"11$":[116],"prime.":[120],"code":[124,136,142,164,200,214],"{C}}(3)$":[130],"Hamming":[135],"distance-optimal.":[138],"{C}}(5)$":[148],"has":[150,172,181],"notation=\"LaTeX\">$[{31,16,7}]$":[156],"distance-almost-optimal.":[160],"{C}}(7)$":[170],"notation=\"LaTeX\">$[{127,64,21}]$":[178],"best":[183],"known":[184,191],"In":[186],"addition,":[187],"there":[188],"no":[190],"notation=\"LaTeX\">$[2^{m}-1,2^{m-1}]$":[196,228],"better":[205],"than":[206],"any":[231],"prime":[233],".":[240]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":6}],"updated_date":"2026-06-22T08:00:12.763002","created_date":"2025-10-10T00:00:00"}
