{"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","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,"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/A5114973685","display_name":"Xinran Wang","orcid":"https://orcid.org/0000-0001-5092-5288"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xinran Wang","raw_affiliation_strings":["School of Science, Chang&#x2019;an University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0001-5092-5288","affiliations":[{"raw_affiliation_string":"School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091187810","display_name":"Ziling Heng","orcid":"https://orcid.org/0000-0002-2630-4446"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ziling Heng","raw_affiliation_strings":["School of Science, Chang&#x2019;an University, Xi&#x2019;an, China"],"raw_orcid":"https://orcid.org/0000-0002-2630-4446","affiliations":[{"raw_affiliation_string":"School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.0621,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.89122743,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"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":0.9998999834060669,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9998000264167786,"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/T13182","display_name":"Quantum-Dot Cellular Automata","score":0.9993000030517578,"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/code","display_name":"Code (set theory)","score":0.46175432205200195},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4442996382713318},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4421629309654236},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.42442619800567627},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.40078577399253845},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3625946640968323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3248841166496277},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.10549584031105042},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06650632619857788}],"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","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,"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":[{"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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":76,"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/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/W2963425613","https://openalex.org/W2963827199","https://openalex.org/W2964832647","https://openalex.org/W3007455756","https://openalex.org/W3012149231","https://openalex.org/W3038043160","https://openalex.org/W3038537849","https://openalex.org/W3094630600","https://openalex.org/W3121556672","https://openalex.org/W3121723036","https://openalex.org/W3136351024","https://openalex.org/W3150013328","https://openalex.org/W3162918368","https://openalex.org/W3167234496","https://openalex.org/W3171545851","https://openalex.org/W3197290798","https://openalex.org/W4205233257","https://openalex.org/W4206775542","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/W4391375266","https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2051487156","https://openalex.org/W2391445434","https://openalex.org/W3009369890"],"abstract_inverted_index":{"Self-orthogonal":[0],"codes":[1,73,80,93,102,134,150,179,195,206],"have":[2,164,207],"nice":[3],"applications":[4,77],"in":[5,25,78],"many":[6],"areas":[7],"including":[8],"quantum":[9,79,133,149,156],"codes,":[10],"lattices":[11],"and":[12,74,81,138,192,203],"LCD":[13,82,178,194,205],"codes.":[14,35,83,147,185],"For":[15],"a":[16,47],"prime":[17],"power":[18],"<italic":[19,30,49,68,88,129,174],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,31,50,69,89,130,175],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>":[21,32,51,70,90,131,176],",":[22],"it":[23],"is":[24,55],"general":[26,48],"difficult":[27],"to":[28,44,105,154],"construct":[29],"-ary":[33,52,71,91,132,177],"self-orthogonal":[34,56,72,146,184],"In":[36,59,159],"the":[37,113,145,155,183],"literature,":[38],"there":[39],"exists":[40],"no":[41],"simple":[42],"method":[43],"judge":[45],"whether":[46],"linear":[53,92],"code":[54],"or":[57,188],"not.":[58],"this":[60,109],"paper,":[61],"we":[62,111],"mainly":[63],"present":[64],"several":[65,85,171],"families":[66,86,127,172],"of":[67,87,115,117,120,128,162,173],"study":[75],"their":[76],"Firstly,":[84],"are":[94,103,142,151,180,196],"constructed":[95,143,181],"by":[96,198],"some":[97,118,161],"special":[98],"defining":[99],"sets.":[100],"These":[101,148],"proved":[104],"be":[106],"self-orthogonal.":[107],"To":[108],"end,":[110],"determine":[112],"numbers":[114],"solutions":[116],"systems":[119],"equations":[121],"over":[122],"finite":[123],"fields.":[124],"Secondly,":[125],"three":[126,141],"with":[135],"unbounded":[136],"length":[137],"minimum":[139],"distance":[140],"from":[144,182],"optimal":[152,187,190],"according":[153],"Hamming":[157],"bound.":[158],"particular,":[160],"them":[163],"better":[165,208],"parameters":[166,209],"than":[167,210],"known":[168,211],"ones.":[169,212],"Thirdly,":[170],"Many":[186],"almost":[189],"binary":[191,202],"ternary":[193,204],"produced":[197],"our":[199],"constructions.":[200],"Some":[201]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
