{"id":"https://openalex.org/W4327522227","doi":"https://doi.org/10.3934/amc.2023008","title":"New dimension-independent upper bounds on linear insdel codes","display_name":"New dimension-independent upper bounds on linear insdel codes","publication_year":2023,"publication_date":"2023-03-16","ids":{"openalex":"https://openalex.org/W4327522227","doi":"https://doi.org/10.3934/amc.2023008"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2023008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2023008","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6411308f55cee464a30e0ab2","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/data/article/export-pdf?id=6411308f55cee464a30e0ab2","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5087435772","display_name":"C. Xie","orcid":"https://orcid.org/0009-0004-0249-9519"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Conghui Xie","raw_affiliation_strings":["College of Information Science and Technology/Cyber Security, Jinan University Guangzhou, Guangdong, 510632, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology/Cyber Security, Jinan University Guangzhou, Guangdong, 510632, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100353526","display_name":"Hao Chen","orcid":"https://orcid.org/0000-0002-1960-4803"},"institutions":[{"id":"https://openalex.org/I159948400","display_name":"Jinan University","ror":"https://ror.org/02xe5ns62","country_code":"CN","type":"education","lineage":["https://openalex.org/I159948400"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hao Chen","raw_affiliation_strings":["College of Information Science and Technology/Cyber Security, Jinan University Guangzhou, Guangdong, 510632, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Information Science and Technology/Cyber Security, Jinan University Guangzhou, Guangdong, 510632, China","institution_ids":["https://openalex.org/I159948400"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071414491","display_name":"Longjiang Qu","orcid":"https://orcid.org/0000-0003-3506-5501"},"institutions":[{"id":"https://openalex.org/I170215575","display_name":"National University of Defense Technology","ror":"https://ror.org/05d2yfz11","country_code":"CN","type":"education","lineage":["https://openalex.org/I170215575"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Longjiang Qu","raw_affiliation_strings":["College of Liberal Arts and Sciences, National University of Defence Technology Changsha, Hunan, 410073, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Liberal Arts and Sciences, National University of Defence Technology Changsha, Hunan, 410073, China","institution_ids":["https://openalex.org/I170215575"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100343988","display_name":"\u041b\u0438\u043d\u0433 \u041b\u0438\u0443","orcid":"https://orcid.org/0000-0002-2309-6768"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ling Liu","raw_affiliation_strings":["College of Computer Science and Software Engineering, Shenzhen University Shenzhen, Guangdong, 518060, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Computer Science and Software Engineering, Shenzhen University Shenzhen, Guangdong, 518060, China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5087435772"],"corresponding_institution_ids":["https://openalex.org/I159948400"],"apc_list":null,"apc_paid":null,"fwci":0.3923,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66894161,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"18","issue":"6","first_page":"1575","last_page":"1589"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9947999715805054,"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/T12029","display_name":"DNA and Biological Computing","score":0.9848999977111816,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.828652024269104},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7835706472396851},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6583374738693237},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6484730839729309},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.6188892722129822},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49179866909980774},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.49088364839553833},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.47084805369377136},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4554254412651062},{"id":"https://openalex.org/keywords/ternary-golay-code","display_name":"Ternary Golay code","score":0.43486297130584717},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.43401193618774414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15250590443611145},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.14324045181274414},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07770437002182007},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.07038313150405884},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06189817190170288}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.828652024269104},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7835706472396851},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6583374738693237},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6484730839729309},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.6188892722129822},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49179866909980774},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.49088364839553833},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.47084805369377136},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4554254412651062},{"id":"https://openalex.org/C108906091","wikidata":"https://www.wikidata.org/wiki/Q7702927","display_name":"Ternary Golay code","level":5,"score":0.43486297130584717},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.43401193618774414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15250590443611145},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.14324045181274414},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07770437002182007},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.07038313150405884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06189817190170288},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2023008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2023008","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6411308f55cee464a30e0ab2","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2023008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3934/amc.2023008","pdf_url":"https://www.aimsciences.org/data/article/export-pdf?id=6411308f55cee464a30e0ab2","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5968077267","display_name":null,"funder_award_id":"2021A1515011679","funder_id":"https://openalex.org/F4320321921","funder_display_name":"Natural Science Foundation of Guangdong Province"},{"id":"https://openalex.org/G6816960198","display_name":null,"funder_award_id":"62032009","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7812278041","display_name":null,"funder_award_id":"62001300","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/F4320321921","display_name":"Natural Science Foundation of Guangdong Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4327522227.pdf"},"referenced_works_count":56,"referenced_works":["https://openalex.org/W121517661","https://openalex.org/W1498892963","https://openalex.org/W1501400124","https://openalex.org/W1542915664","https://openalex.org/W1587687098","https://openalex.org/W1647671624","https://openalex.org/W1973483608","https://openalex.org/W2029448413","https://openalex.org/W2029487152","https://openalex.org/W2041788275","https://openalex.org/W2057900969","https://openalex.org/W2081354249","https://openalex.org/W2101226255","https://openalex.org/W2110701956","https://openalex.org/W2113800264","https://openalex.org/W2123695891","https://openalex.org/W2137445826","https://openalex.org/W2153233077","https://openalex.org/W2159712509","https://openalex.org/W2162926674","https://openalex.org/W2165816873","https://openalex.org/W2165855190","https://openalex.org/W2167082268","https://openalex.org/W2171498600","https://openalex.org/W2317556569","https://openalex.org/W2601746657","https://openalex.org/W2752663165","https://openalex.org/W2767066543","https://openalex.org/W2897671136","https://openalex.org/W2936307398","https://openalex.org/W2963044831","https://openalex.org/W2963169017","https://openalex.org/W2963700977","https://openalex.org/W2963712885","https://openalex.org/W2984241739","https://openalex.org/W2988960354","https://openalex.org/W2991612643","https://openalex.org/W3082625388","https://openalex.org/W3126358592","https://openalex.org/W3135989042","https://openalex.org/W3145381334","https://openalex.org/W3145823438","https://openalex.org/W3157387990","https://openalex.org/W3168938245","https://openalex.org/W3182784727","https://openalex.org/W3190296759","https://openalex.org/W3202561437","https://openalex.org/W4206775542","https://openalex.org/W4231197506","https://openalex.org/W4300176985","https://openalex.org/W4319996528","https://openalex.org/W4379984077","https://openalex.org/W6600577311","https://openalex.org/W6600669965","https://openalex.org/W6605757092","https://openalex.org/W6629309582"],"related_works":["https://openalex.org/W2035862129","https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W4244929333","https://openalex.org/W2151857680","https://openalex.org/W2118665614","https://openalex.org/W2126870031","https://openalex.org/W3127537071"],"abstract_inverted_index":{"To":[0],"determine":[1],"the":[2,17,32,54,75,108,122,126,131,139,156],"insdel":[3,18,55,116,145,157],"distances":[4,19,56,117,158],"of":[5,20,36,57,68,77,159],"linear":[6,21,37,58,69,87,96,136,161],"codes":[7,22,70,88,98,163],"is":[8,26,80,147],"a":[9,27],"very":[10],"challenging":[11],"problem.":[12],"The":[13],"half-Singleton":[14,123],"bound":[15,30,124,142],"on":[16,31,66,74,114,143,155],"due":[23],"to":[24],"Cheng-Guruswami-Haeupler-Li":[25],"basic":[28],"upper":[29,51,61,112,128,141,153],"insertion-deletion":[33],"error-correcting":[34],"capabilities":[35],"codes.":[38,59,175],"In":[39],"this":[40],"paper":[41],"we":[42],"give":[43,151],"several":[44],"new":[45,109],"coordinate":[46,49,110],"ordering-free":[47,111],"and":[48,71,103,125,168,171],"ordering-depending":[50,140,152],"bounds":[52,62,113,154],"for":[53,83,134],"These":[60],"do":[63],"not":[64],"depend":[65,73],"dimensions":[67],"only":[72],"formations":[76],"codewords.":[78],"It":[79],"shown":[81],"that":[82],"many":[84,95,135],"natural":[85],"well-known":[86],"including":[89],"binary":[90,97,137,170],"simplex":[91],"codes,":[92,94,107,138],"Kasami":[93],"with":[99,164],"few":[100,165],"non-zero":[101,166],"weights":[102,167],"some":[104,160,169],"algebraic":[105,173],"geometry":[106,174],"their":[115,144],"are":[118],"strictly":[119],"smaller":[120],"than":[121],"direct":[127],"bound.":[129],"On":[130],"other":[132],"hand":[133],"distance":[146],"2.":[148],"We":[149],"also":[150],"ternary":[162,172]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
