{"id":"https://openalex.org/W7117583073","doi":"https://doi.org/10.1109/tit.2025.3649487","title":"Self-Orthogonal Codes From Plateaued Functions and Their Applications in Quantum Codes and LCD Codes","display_name":"Self-Orthogonal Codes From Plateaued Functions and Their Applications in Quantum Codes and LCD Codes","publication_year":2025,"publication_date":"2025-12-30","ids":{"openalex":"https://openalex.org/W7117583073","doi":"https://doi.org/10.1109/tit.2025.3649487"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2025.3649487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3649487","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/A5074409589","display_name":"Yadi Wei","orcid":"https://orcid.org/0009-0008-8391-3548"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]},{"id":"https://openalex.org/I4401200345","display_name":"Laboratoire de physique de la mati\u00e8re condens\u00e9e","ror":"https://ror.org/05brss208","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4401200345","https://openalex.org/I4647051"]}],"countries":["CN","FR"],"is_corresponding":true,"raw_author_name":"Yadi Wei","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121583171","display_name":"Jiaxin Wang","orcid":null},"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":"Jiaxin Wang","raw_affiliation_strings":["School of Mathematics, Hefei University of Technology, Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Hefei University of Technology, Hefei, China","institution_ids":["https://openalex.org/I16365422"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5012468861","display_name":"Fang-Wei Fu","orcid":null},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]},{"id":"https://openalex.org/I4401200345","display_name":"Laboratoire de physique de la mati\u00e8re condens\u00e9e","ror":"https://ror.org/05brss208","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I4401200345","https://openalex.org/I4647051"]}],"countries":["CN","FR"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China"],"affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5074409589"],"corresponding_institution_ids":["https://openalex.org/I205237279","https://openalex.org/I4401200345"],"apc_list":null,"apc_paid":null,"fwci":2.3568,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.93318934,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"72","issue":"3","first_page":"1629","last_page":"1645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.8116000294685364,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.8116000294685364,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.10239999741315842,"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/T11130","display_name":"Coding theory and cryptography","score":0.032499998807907104,"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/block-code","display_name":"Block code","score":0.6697999835014343},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.633899986743927},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5968000292778015},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4812999963760376},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.4359999895095825},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.41510000824928284},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.3474000096321106}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6697999835014343},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.633899986743927},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5968000292778015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5121999979019165},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4812999963760376},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.4359999895095825},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4154999852180481},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.41510000824928284},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35370001196861267},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.3474000096321106},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.34529998898506165},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3321000039577484},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32330000400543213},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.31709998846054077},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2944999933242798},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.2858000099658966},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.28139999508857727},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.2700999975204468},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.26840001344680786}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3649487","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3649487","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/G5563798569","display_name":null,"funder_award_id":"12141108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8461867122","display_name":null,"funder_award_id":"62371259","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8637662816","display_name":null,"funder_award_id":"12411540221","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8890425352","display_name":null,"funder_award_id":"2022YFA1005000","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program 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/F4320329998","display_name":"Nankai Zhide Foundation","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W1137313232","https://openalex.org/W1482523625","https://openalex.org/W1550528471","https://openalex.org/W1933802677","https://openalex.org/W1969945141","https://openalex.org/W1973483608","https://openalex.org/W1999189775","https://openalex.org/W2003667685","https://openalex.org/W2026316191","https://openalex.org/W2064093194","https://openalex.org/W2110224347","https://openalex.org/W2120756519","https://openalex.org/W2123695891","https://openalex.org/W2159712509","https://openalex.org/W2163834165","https://openalex.org/W2171498600","https://openalex.org/W2342371336","https://openalex.org/W2460177232","https://openalex.org/W2893369201","https://openalex.org/W2962947453","https://openalex.org/W2991612643","https://openalex.org/W3011383154","https://openalex.org/W3108977052","https://openalex.org/W3121556672","https://openalex.org/W3196890818","https://openalex.org/W4206775542","https://openalex.org/W4206793728","https://openalex.org/W4226017606","https://openalex.org/W4321250616","https://openalex.org/W4366384397","https://openalex.org/W4385978648","https://openalex.org/W4388624641","https://openalex.org/W4401358646","https://openalex.org/W4401879605","https://openalex.org/W4403130314","https://openalex.org/W4406822775","https://openalex.org/W4411781081","https://openalex.org/W4416010297","https://openalex.org/W4416650130","https://openalex.org/W7117583073"],"related_works":[],"abstract_inverted_index":{"Self-orthogonal":[0],"codes":[1,15,23,45,65,73,85,108],"have":[2],"received":[3],"great":[4],"attention":[5],"due":[6],"to":[7,76],"their":[8,56,89],"important":[9],"applications":[10],"in":[11],"quantum":[12,107],"codes,":[13,95],"LCD":[14,111],"and":[16,109],"lattices.":[17],"Recently,":[18],"several":[19,99],"families":[20,101],"of":[21,43,62,82,102],"self-orthogonal":[22,93],"containing":[24],"the":[25,50,63,92],"all-1":[26,51],"vector":[27],"were":[28],"constructed":[29,64],"by":[30],"augmentation":[31],"technique.":[32],"In":[33],"this":[34],"paper,":[35],"utilizing":[36],"plateaued":[37],"functions,":[38],"we":[39,96],"construct":[40,98],"some":[41,80],"classes":[42,81],"linear":[44,84],"which":[46],"do":[47],"not":[48],"contain":[49],"vector.":[52],"We":[53],"also":[54,97],"investigate":[55],"punctured":[57,94],"codes.":[58,112],"The":[59],"weight":[60],"distributions":[61],"are":[66,74,86],"explicitly":[67],"determined.":[68],"Under":[69],"certain":[70],"conditions,":[71],"these":[72],"proved":[75],"be":[77],"self-orthogonal.":[78],"Furthermore,":[79],"optimal":[83,106,110],"obtained":[87],"from":[88],"duals.":[90],"Using":[91],"new":[100],"at":[103],"least":[104],"almost":[105]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-12-30T00:00:00"}