{"id":"https://openalex.org/W4388624641","doi":"https://doi.org/10.1109/tit.2023.3332332","title":"Several Families of Self-Orthogonal Codes and Their Applications in Optimal Quantum Codes and LCD Codes","display_name":"Several Families of Self-Orthogonal Codes and Their Applications in Optimal Quantum Codes and LCD Codes","publication_year":2023,"publication_date":"2023-11-13","ids":{"openalex":"https://openalex.org/W4388624641","doi":"https://doi.org/10.1109/tit.2023.3332332"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3332332","doi":"https://doi.org/10.1109/tit.2023.3332332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3332332","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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"},"volume":null,"type":"article","is_traditional":true,"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/A5114973685","display_name":"Xinran Wang","orcid":"https://orcid.org/0000-0001-5092-5288","observed_orcids":["https://orcid.org/0000-0001-5092-5288"]},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinran Wang","raw_affiliation_strings":["School of Science, Chang\u2019an University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0001-5092-5288","affiliations":[{"raw_affiliation_string":"School of Science, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091187810","display_name":"Ziling Heng","orcid":"https://orcid.org/0000-0002-2630-4446","observed_orcids":["https://orcid.org/0000-0002-2630-4446"]},"institutions":[{"id":"https://openalex.org/I25355098","display_name":"Chang'an University","ror":"https://ror.org/05mxya461","country_code":"CN","type":"education","lineage":["https://openalex.org/I25355098"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ziling Heng","raw_affiliation_strings":["School of Science, Chang\u2019an University, Xi\u2019an, China"],"raw_orcid":"https://orcid.org/0000-0002-2630-4446","affiliations":[{"raw_affiliation_string":"School of Science, Chang\u2019an University, Xi\u2019an, China","institution_ids":["https://openalex.org/I25355098"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I25355098"],"apc_list":{"value":2345,"currency":"USD","value_usd":2345},"apc_paid":null,"fwci":4.4101,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.95882085,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"70","issue":"7","first_page":"4769","last_page":"4791"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":9.999999747378752e-05,"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":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/self-orthogonal-codes","display_name":"self-orthogonal codes","score":0.996999979019165},{"id":"https://openalex.org/keywords/quantum-error-correcting-codes","display_name":"quantum error-correcting codes","score":0.7279999852180481},{"id":"https://openalex.org/keywords/lcd-codes","display_name":"LCD codes","score":0.9639999866485596},{"id":"https://openalex.org/keywords/defining-sets","display_name":"defining sets","score":0.7889999747276306},{"id":"https://openalex.org/keywords/optimal-codes","display_name":"optimal codes","score":0.5680000185966492}],"concepts":[{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.46175432205200195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4442996382713318},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4421629309654236},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.42442619800567627},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.40078577399253845},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3625946640968323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3248841166496277},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.10549584031105042},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06650632619857788}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3332332","doi":"https://doi.org/10.1109/tit.2023.3332332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3332332","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,"listed_in":["anvur-class-a","anvur-scientific","ccf-a","cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"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":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G1086622777","display_name":null,"funder_award_id":"12271059","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"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":73,"referenced_works":["https://openalex.org/W650790907","https://openalex.org/W1137313232","https://openalex.org/W1471103927","https://openalex.org/W1482523625","https://openalex.org/W1539019425","https://openalex.org/W1559343931","https://openalex.org/W1980741888","https://openalex.org/W1999189775","https://openalex.org/W1999706070","https://openalex.org/W1999721813","https://openalex.org/W2008721293","https://openalex.org/W2025014794","https://openalex.org/W2026316191","https://openalex.org/W2038865550","https://openalex.org/W2039039570","https://openalex.org/W2045153135","https://openalex.org/W2052132265","https://openalex.org/W2060885602","https://openalex.org/W2063592138","https://openalex.org/W2078022333","https://openalex.org/W2078893330","https://openalex.org/W2091331782","https://openalex.org/W2093542519","https://openalex.org/W2095755044","https://openalex.org/W2101226255","https://openalex.org/W2110224347","https://openalex.org/W2111937453","https://openalex.org/W2113800264","https://openalex.org/W2119200400","https://openalex.org/W2122478589","https://openalex.org/W2125419304","https://openalex.org/W2131690084","https://openalex.org/W2135537429","https://openalex.org/W2167413626","https://openalex.org/W2170706375","https://openalex.org/W2187406402","https://openalex.org/W2293931389","https://openalex.org/W2491978534","https://openalex.org/W2577690138","https://openalex.org/W2619279478","https://openalex.org/W2730715834","https://openalex.org/W2773561837","https://openalex.org/W2775268136","https://openalex.org/W2787275646","https://openalex.org/W2788668842","https://openalex.org/W2795810109","https://openalex.org/W2810791393","https://openalex.org/W2850968244","https://openalex.org/W2887058924","https://openalex.org/W2914354410","https://openalex.org/W2944286634","https://openalex.org/W2962947453","https://openalex.org/W2963827199","https://openalex.org/W2964832647","https://openalex.org/W3007455756","https://openalex.org/W3012149231","https://openalex.org/W3035410980","https://openalex.org/W3038537849","https://openalex.org/W3094630600","https://openalex.org/W3121556672","https://openalex.org/W3121723036","https://openalex.org/W3150013328","https://openalex.org/W3162918368","https://openalex.org/W3167234496","https://openalex.org/W3171545851","https://openalex.org/W4205233257","https://openalex.org/W4285154526","https://openalex.org/W4292937362","https://openalex.org/W4322725230","https://openalex.org/W4323538093","https://openalex.org/W4365505990","https://openalex.org/W4379623567","https://openalex.org/W4380884815"],"related_works":["https://openalex.org/W4417119899","https://openalex.org/W7117583073","https://openalex.org/W4410871748","https://openalex.org/W4385502091","https://openalex.org/W7170661737","https://openalex.org/W2795810109","https://openalex.org/W4385978648","https://openalex.org/W2914354410","https://openalex.org/W7167845075","https://openalex.org/W4405270953"],"abstract_inverted_index":{"Self-orthogonal":[0],"codes":[1,57,64,73,82,110,126,151,167,178],"have":[2,140,179],"nice":[3],"applications":[4,61],"in":[5,21,62],"many":[6],"areas":[7],"including":[8],"quantum":[9,63,109,125,132],"codes,":[10],"lattices":[11],"and":[12,58,65,114,164,175],"LCD":[13,66,150,166,177],"codes.":[14,27,67,123,157],"For":[15],"a":[16,39],"prime":[17],"powerq,":[18],"it":[19],"is":[20,43],"general":[22],"difficult":[23],"to":[24,36,85,130],"constructq-ary":[25],"self-orthogonal":[26,44,56,122,156],"In":[28,47,135],"the":[29,93,121,131,155],"literature,":[30],"there":[31],"exists":[32],"no":[33],"simple":[34],"method":[35],"judge":[37],"whether":[38],"generalq-ary":[40],"linear":[41,72],"code":[42],"or":[45,160],"not.":[46],"this":[48,89],"paper,":[49],"we":[50,91],"mainly":[51],"present":[52],"several":[53,69,147],"families":[54,70,107,148],"ofq-ary":[55,71,108,149],"study":[59],"their":[60],"Firstly,":[68],"are":[74,83,118,127,152,168],"constructed":[75,119,153],"by":[76,170],"some":[77,98,137],"special":[78],"defining":[79],"sets.":[80],"These":[81,124],"proved":[84],"be":[86],"self-orthogonal.":[87],"To":[88],"end,":[90],"determine":[92],"numbers":[94],"of":[95,97,100,138],"solutions":[96],"systems":[99],"equations":[101],"over":[102],"finite":[103],"fields.":[104],"Secondly,":[105],"three":[106,117],"with":[111],"unbounded":[112],"length":[113],"minimum":[115],"distance":[116],"from":[120,154],"optimal":[128,159,162],"according":[129],"Hamming":[133],"bound.":[134],"particular,":[136],"them":[139],"better":[141,180],"parameters":[142,181],"than":[143,182],"known":[144,183],"ones.":[145,184],"Thirdly,":[146],"Many":[158],"almost":[161],"binary":[163,174],"ternary":[165,176],"produced":[169],"our":[171],"constructions.":[172],"Some":[173]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2}],"updated_date":"2026-11-10T11:39:43.021295","created_date":"2023-11-14T00:00:00"}