{"id":"https://openalex.org/W7154004961","doi":"https://doi.org/10.1109/tit.2026.3683480","title":"Characterizations of Primitive and Projective Self-Orthogonal BCH Codes and Their Parameters","display_name":"Characterizations of Primitive and Projective Self-Orthogonal BCH Codes and Their Parameters","publication_year":2026,"publication_date":"2026-04-13","ids":{"openalex":"https://openalex.org/W7154004961","doi":"https://doi.org/10.1109/tit.2026.3683480"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2026.3683480","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2026.3683480","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/A5101981148","display_name":"Shuying Dong","orcid":"https://orcid.org/0009-0005-7970-387X"},"institutions":[{"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":"Shuying Dong","raw_affiliation_strings":["MoE Engineering Research Center of Software/Hardware Co-Design Technology and Application, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0009-0005-7970-387X","affiliations":[{"raw_affiliation_string":"MoE Engineering Research Center of Software/Hardware Co-Design Technology and Application, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"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/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":["MoE Engineering Research Center of Software/Hardware Co-Design Technology and Application, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-2546-8641","affiliations":[{"raw_affiliation_string":"MoE Engineering Research Center of Software/Hardware Co-Design Technology and Application, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5133520437","display_name":"Haifeng Qian","orcid":null},"institutions":[{"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":"Haifeng Qian","raw_affiliation_strings":["School of Cryptology, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0003-4920-5405","affiliations":[{"raw_affiliation_string":"School of Cryptology, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I66867065"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I66867065"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41614873,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"6","first_page":"3665","last_page":"3677"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.7717000246047974,"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":0.7717000246047974,"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":0.06210000067949295,"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/T10849","display_name":"Finite Group Theory Research","score":0.03400000184774399,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.8101999759674072},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.35659998655319214},{"id":"https://openalex.org/keywords/projective-test","display_name":"Projective test","score":0.34439998865127563},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.3102000057697296},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.2957000136375427},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.2930000126361847}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.8101999759674072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5526000261306763},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47519999742507935},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37860000133514404},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.35659998655319214},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.34439998865127563},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.32760000228881836},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.3102000057697296},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.2957000136375427},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.2930000126361847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28600001335144043},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2784000039100647},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2766000032424927},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.27649998664855957},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.27559998631477356},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.26260000467300415},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2623000144958496}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2026.3683480","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2026.3683480","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":[{"display_name":"Reduced inequalities","score":0.5442795753479004,"id":"https://metadata.un.org/sdg/10"}],"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/G228663136","display_name":null,"funder_award_id":"12441103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7661927108","display_name":null,"funder_award_id":"KFYB2502","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8049936411","display_name":null,"funder_award_id":"62572189","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"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":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Self-orthogonal":[0],"codes":[1,8,22,54,75,90,112,125,141],"are":[2,11,91,115,126,142,152],"an":[3],"important":[4],"type":[5],"of":[6,120,134],"linear":[7],"since":[9],"they":[10],"very":[12],"closely":[13],"related":[14],"to":[15,34,65],"designs,":[16],"lattices,":[17],"and":[18,31,38,50,58,68,71,76,86,105,137,145],"quantum":[19],"codes.":[20],"Bose-Chaudhuri-Hocquenghem":[21],"(BCH":[23],"codes)":[24],"have":[25],"various":[26],"practical":[27],"applications":[28],"in":[29,55,128],"communication":[30],"storage":[32],"due":[33],"their":[35,78,96,149],"efficient":[36],"encoding":[37],"decoding":[39],"algorithms.":[40],"In":[41],"this":[42],"paper,":[43],"we":[44],"will":[45],"focus":[46],"on":[47,148],"the":[48,81,84,100,118,132],"primitive":[49,67,85,110],"projective":[51,69,87,121],"self-orthogonal":[52,73,88,114,123,139],"BCH":[53,74,89,111,124,140],"both":[56],"Euclidean":[57,70,82,136],"Hermitian":[59,72,101,122,138],"cases.":[60,130],"Our":[61],"main":[62],"objective":[63],"is":[64],"characterize":[66],"investigate":[77],"parameters.":[79],"For":[80,99],"case,":[83,102],"characterized":[92],"completely":[93],"by":[94],"using":[95],"designed":[97],"distances.":[98],"a":[103],"sufficient":[104],"necessary":[106],"condition":[107],"for":[108],"all":[109],"being":[113],"presented,":[116],"while":[117],"characterizations":[119],"obtained":[127],"some":[129,135],"Moreover,":[131],"dimensions":[133],"determined":[143],"explicitly":[144],"lower":[146],"bounds":[147],"minimum":[150],"distances":[151],"given.":[153]},"counts_by_year":[],"updated_date":"2026-05-23T06:10:36.450269","created_date":"2026-04-14T00:00:00"}
