{"id":"https://openalex.org/W4407938022","doi":"https://doi.org/10.1109/tit.2025.3545061","title":"Combinatorial Alphabet-Dependent Bounds for Insdel Codes","display_name":"Combinatorial Alphabet-Dependent Bounds for Insdel Codes","publication_year":2025,"publication_date":"2025-02-25","ids":{"openalex":"https://openalex.org/W4407938022","doi":"https://doi.org/10.1109/tit.2025.3545061"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3545061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3545061","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/A5053562125","display_name":"Xiangliang Kong","orcid":"https://orcid.org/0000-0002-7893-2276"},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]},{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Xiangliang Kong","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv-Yafo, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv-Yafo, Israel","institution_ids":["https://openalex.org/I4210141777","https://openalex.org/I16391192"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085150941","display_name":"Itzhak Tamo","orcid":"https://orcid.org/0000-0002-8000-0419"},"institutions":[{"id":"https://openalex.org/I4210141777","display_name":"Academic College of Tel Aviv-Yafo","ror":"https://ror.org/04cg6c004","country_code":"IL","type":"education","lineage":["https://openalex.org/I4210141777"]},{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Itzhak Tamo","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv-Yafo, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv-Yafo, Israel","institution_ids":["https://openalex.org/I4210141777","https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5061347472","display_name":"Hengjia Wei","orcid":"https://orcid.org/0000-0001-8136-1489"},"institutions":[{"id":"https://openalex.org/I87445476","display_name":"Xi'an Jiaotong University","ror":"https://ror.org/017zhmm22","country_code":"CN","type":"education","lineage":["https://openalex.org/I87445476"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hengjia Wei","raw_affiliation_strings":["School of Mathematics and Statistics, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Xi&#x2019;an Jiaotong University, Xi&#x2019;an, China","institution_ids":["https://openalex.org/I87445476"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5053562125"],"corresponding_institution_ids":["https://openalex.org/I16391192","https://openalex.org/I4210141777"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0146979,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"5","first_page":"3544","last_page":"3559"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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":0.9986000061035156,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9941999912261963,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9927999973297119,"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/alphabet","display_name":"Alphabet","score":0.6963533163070679},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4734627604484558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44861263036727905},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4446158707141876},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.43765968084335327},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4045318067073822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2784118056297302},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.27596336603164673}],"concepts":[{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6963533163070679},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4734627604484558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44861263036727905},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4446158707141876},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.43765968084335327},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4045318067073822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2784118056297302},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.27596336603164673},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3545061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3545061","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/G2857663206","display_name":null,"funder_award_id":"12371523","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2863868470","display_name":null,"funder_award_id":"852953","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W642038236","https://openalex.org/W1500270341","https://openalex.org/W1503873412","https://openalex.org/W1572473735","https://openalex.org/W1594346180","https://openalex.org/W1969151232","https://openalex.org/W1970898500","https://openalex.org/W1981176808","https://openalex.org/W1990381101","https://openalex.org/W1999116222","https://openalex.org/W2010076825","https://openalex.org/W2074920973","https://openalex.org/W2081354249","https://openalex.org/W2087508684","https://openalex.org/W2105597036","https://openalex.org/W2115151682","https://openalex.org/W2120978458","https://openalex.org/W2127236769","https://openalex.org/W2132943241","https://openalex.org/W2333320475","https://openalex.org/W2354234354","https://openalex.org/W2751518651","https://openalex.org/W2761718386","https://openalex.org/W2885090043","https://openalex.org/W2951269465","https://openalex.org/W2962809499","https://openalex.org/W2963183421","https://openalex.org/W3080366099","https://openalex.org/W3092309105","https://openalex.org/W3113522538","https://openalex.org/W3118614175","https://openalex.org/W3175469882","https://openalex.org/W3198372295","https://openalex.org/W3199052144","https://openalex.org/W3215697257","https://openalex.org/W4377971536","https://openalex.org/W4379984694","https://openalex.org/W4385757668","https://openalex.org/W4390650975","https://openalex.org/W4401692626","https://openalex.org/W4402435340","https://openalex.org/W6636915900","https://openalex.org/W6804687982"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2962838298","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Error-correcting":[0],"codes":[1,87,128],"resilient":[2],"to":[3,162],"synchronization":[4],"errors":[5],"such":[6],"as":[7,13],"insertions":[8],"and":[9,25,88,110,158,167],"deletions":[10],"are":[11],"known":[12],"insdel":[14,36,86,127],"codes.":[15,37],"In":[16],"this":[17],"paper,":[18],"we":[19],"present":[20],"several":[21],"new":[22],"combinatorial":[23],"upper":[24,40,99],"lower":[26,78,94,145],"bounds":[27],"on":[28,154],"the":[29,62,68,123],"maximum":[30,124],"size":[31,70,125],"of":[32,126],"<italic":[33,64,71,107,113,117,164,168],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[34,65,72,108,114,118,131,165,169],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>-ary":[35],"Our":[38,76],"main":[39],"bound":[41,45,79,146,157],"is":[42,74,80,120,129],"a":[43,49,83],"sphere-packing":[44],"obtained":[46],"by":[47],"solving":[48],"linear":[50],"programming":[51],"(LP)":[52],"problem.":[53],"It":[54],"improves":[55],"upon":[56],"previous":[57],"results":[58],"for":[59,103],"cases":[60],"when":[61,116],"distance":[63,112],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>":[66],"or":[67],"alphabet":[69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>":[73,119,166],"large.":[75],"first":[77],"derived":[81],"from":[82],"connection":[84],"between":[85],"matchings":[89],"in":[90],"special":[91],"hypergraphs.":[92],"This":[93],"bound,":[95,100],"together":[96],"with":[97],"our":[98],"shows":[101],"that":[102],"fixed":[104],"block":[105],"length":[106],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[109],"edit":[111],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>,":[115],"sufficiently":[121],"large,":[122],"<inline-formula":[130],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[132],"<tex-math":[133],"notation=\"LaTeX\">$":[134],"\\frac":[135],"{q^{n-\\frac":[136],"{d}{2}+1}}{\\binom":[137],"{n}{\\frac":[138],"{d}{2}-1}}(1":[139],"\\pm":[140],"o(1))$":[141],"</tex-math></inline-formula>.":[142],"The":[143],"second":[144],"refines":[147],"Alon":[148],"et":[149],"al.\u2019s":[150],"recent":[151],"logarithmic":[152],"improvement":[153],"Levenshtein\u2019s":[155],"GV-type":[156],"extends":[159],"its":[160],"applicability":[161],"large":[163],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</i>.":[170]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}