{"id":"https://openalex.org/W4391235338","doi":"https://doi.org/10.1109/tit.2024.3358332","title":"Quaternary Codes and Their Binary Images","display_name":"Quaternary Codes and Their Binary Images","publication_year":2024,"publication_date":"2024-01-25","ids":{"openalex":"https://openalex.org/W4391235338","doi":"https://doi.org/10.1109/tit.2024.3358332"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2024.3358332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3358332","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/A5040712173","display_name":"Yansheng Wu","orcid":"https://orcid.org/0000-0002-7234-9119"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yansheng Wu","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China"],"raw_orcid":"https://orcid.org/0000-0002-7234-9119","affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100692539","display_name":"Chao Li","orcid":"https://orcid.org/0000-0001-8852-8448"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Li","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5018920765","display_name":"Lin Zhang","orcid":"https://orcid.org/0000-0003-4873-3353"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lin Zhang","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100602821","display_name":"Fu Xiao","orcid":"https://orcid.org/0000-0003-1815-2793"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fu Xiao","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China"],"raw_orcid":"https://orcid.org/0000-0003-1815-2793","affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]},{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, P. R. China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":null,"apc_paid":null,"fwci":1.6671,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85183727,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"70","issue":"7","first_page":"4759","last_page":"4768"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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":0.9919000267982483,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9868999719619751,"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/binary-number","display_name":"Binary number","score":0.5942056775093079},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.49297595024108887},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4909055829048157},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46157869696617126},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4309746026992798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4232408106327057},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3853197991847992},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3337218165397644},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.20845714211463928},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.11344605684280396},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10294410586357117}],"concepts":[{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5942056775093079},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.49297595024108887},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4909055829048157},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46157869696617126},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4309746026992798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4232408106327057},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3853197991847992},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3337218165397644},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.20845714211463928},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.11344605684280396},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10294410586357117}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2024.3358332","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2024.3358332","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/G3862649344","display_name":null,"funder_award_id":"62372247","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5605846752","display_name":null,"funder_award_id":"12101326","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6552006097","display_name":null,"funder_award_id":"2023M740958","funder_id":"https://openalex.org/F4320321543","funder_display_name":"China Postdoctoral Science Foundation"},{"id":"https://openalex.org/G7227644189","display_name":null,"funder_award_id":"BK20210575","funder_id":"https://openalex.org/F4320322769","funder_display_name":"Natural Science Foundation of Jiangsu Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321543","display_name":"China Postdoctoral Science Foundation","ror":"https://ror.org/0426zh255"},{"id":"https://openalex.org/F4320322769","display_name":"Natural Science Foundation of Jiangsu Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W2038681062","https://openalex.org/W2120756519","https://openalex.org/W2163834165","https://openalex.org/W2220269422","https://openalex.org/W2770029325","https://openalex.org/W2792402434","https://openalex.org/W2962947453","https://openalex.org/W2964302506","https://openalex.org/W2979232646","https://openalex.org/W2980061979","https://openalex.org/W2983243486","https://openalex.org/W3021289972","https://openalex.org/W3084531141","https://openalex.org/W4205447848","https://openalex.org/W4205551177","https://openalex.org/W4206775542","https://openalex.org/W6631971421","https://openalex.org/W6687183062"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2134880816","https://openalex.org/W2111298487","https://openalex.org/W2510680828","https://openalex.org/W2055498716","https://openalex.org/W1984130439","https://openalex.org/W4386075138","https://openalex.org/W3016499519","https://openalex.org/W2371359060","https://openalex.org/W2562873141"],"abstract_inverted_index":{"Recently,":[0],"simplicial":[1,44],"complexes":[2],"are":[3,41,56,66,91,117,156],"used":[4],"in":[5,28],"constructions":[6],"of":[7,11,51,62,72,98,112,129,137],"several":[8],"infinite":[9,60,127,135],"families":[10,61,128],"minimal":[12,139,145],"and":[13,58,133],"optimal":[14],"linear":[15,32,118,140],"codes":[16,33,55,65,77,90,116,132],"by":[17,43,78],"Hyun":[18],"<italic":[19,80],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,39,75,81],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">et":[21,82],"al</i>":[22,83],".":[23],"Building":[24],"upon":[25],"their":[26],"research,":[27],"this":[29],"paper":[30],"more":[31],"over":[34],"the":[35,47,52,70,95,99,104,109],"ring":[36],"Z":[37,73],"<sub":[38,74],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">4</sub>":[40,76],"constructed":[42],"complexes.":[45],"Specifically,":[46],"Lee":[48],"weight":[49],"distributions":[50],"resulting":[53],"quaternary":[54,64,89,115],"determined":[57],"two":[59,126],"four-Lee-weight":[63],"obtained.":[67],"Compared":[68],"to":[69,94,106,124],"databases":[71],"Aydin":[79],".,":[84],"at":[85],"least":[86],"nine":[87],"new":[88],"found.":[92],"Thanks":[93],"special":[96],"structure":[97],"defining":[100],"sets,":[101],"we":[102],"have":[103],"ability":[105],"determine":[107],"whether":[108],"Gray":[110],"images":[111],"certain":[113],"obtained":[114],"or":[119],"not.":[120],"This":[121],"allows":[122],"us":[123],"obtain":[125],"binary":[130,138,146],"nonlinear":[131],"one":[134],"family":[136],"codes.":[141],"Furthermore,":[142],"utilizing":[143],"these":[144],"codes,":[147],"some":[148],"secret":[149],"sharing":[150],"schemes":[151],"as":[152],"a":[153],"byproduct":[154],"also":[155],"established.":[157]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
