{"id":"https://openalex.org/W4417508782","doi":"https://doi.org/10.1109/tit.2025.3646448","title":"On the Fixed-Length-Burst Levenshtein Ball With Unit Radius","display_name":"On the Fixed-Length-Burst Levenshtein Ball With Unit Radius","publication_year":2025,"publication_date":"2025-12-19","ids":{"openalex":"https://openalex.org/W4417508782","doi":"https://doi.org/10.1109/tit.2025.3646448"},"language":null,"primary_location":{"id":"doi:10.1109/tit.2025.3646448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3646448","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/A5047486937","display_name":"Yuanxiao Xi","orcid":null},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yuanxiao Xi","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, Zhejiang, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055375172","display_name":"Yubo Sun","orcid":"https://orcid.org/0000-0002-2045-4603"},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yubo Sun","raw_affiliation_strings":["School of Mathematical Sciences, Capital Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029449317","display_name":"Gennian Ge","orcid":"https://orcid.org/0000-0002-1535-0754"},"institutions":[{"id":"https://openalex.org/I96852419","display_name":"Capital Normal University","ror":"https://ror.org/005edt527","country_code":"CN","type":"education","lineage":["https://openalex.org/I96852419"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Gennian Ge","raw_affiliation_strings":["School of Mathematical Sciences, Capital Normal University, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Capital Normal University, Beijing, China","institution_ids":["https://openalex.org/I96852419"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5047486937"],"corresponding_institution_ids":["https://openalex.org/I76130692"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.41722964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"72","issue":"2","first_page":"1133","last_page":"1141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.24469999969005585,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.24469999969005585,"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":0.15569999814033508,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.09610000252723694,"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/ball","display_name":"Ball (mathematics)","score":0.7491999864578247},{"id":"https://openalex.org/keywords/levenshtein-distance","display_name":"Levenshtein distance","score":0.5443000197410583},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4749000072479248},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.45750001072883606},{"id":"https://openalex.org/keywords/unit-sphere","display_name":"Unit sphere","score":0.4465999901294708},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.3540000021457672}],"concepts":[{"id":"https://openalex.org/C122041747","wikidata":"https://www.wikidata.org/wiki/Q838611","display_name":"Ball (mathematics)","level":2,"score":0.7491999864578247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6273999810218811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6198999881744385},{"id":"https://openalex.org/C2777515626","wikidata":"https://www.wikidata.org/wiki/Q496939","display_name":"Levenshtein distance","level":2,"score":0.5443000197410583},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4749000072479248},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.45750001072883606},{"id":"https://openalex.org/C191948623","wikidata":"https://www.wikidata.org/wiki/Q1307800","display_name":"Unit sphere","level":2,"score":0.4465999901294708},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.3540000021457672},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.35109999775886536},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.35030001401901245},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34709998965263367},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.3109000027179718},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.28439998626708984},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.26750001311302185},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26100000739097595}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3646448","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3646448","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1999116222","https://openalex.org/W2125278308","https://openalex.org/W2150830972","https://openalex.org/W2170857855","https://openalex.org/W2584151571","https://openalex.org/W2788257106","https://openalex.org/W2793548940","https://openalex.org/W4312890372","https://openalex.org/W4322706998","https://openalex.org/W4386047770","https://openalex.org/W4389428712","https://openalex.org/W4393995565","https://openalex.org/W4406611464","https://openalex.org/W4416323822"],"related_works":[],"abstract_inverted_index":{"Consider":[0],"a":[1,8],"length-n":[2],"sequence":[3],"<italic":[4,9,17,30,39,44,50,67,112,117,144],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,10,18,20,28,31,40,45,51,68,113,118,122,145],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">x</i>":[6,41],"over":[7],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</i>-ary":[11,32],"alphabet.":[12],"The":[13],"fixed-length":[14,59,133],"Levenshtein":[15,60,134,148],"ball":[16],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">L<sub>t</sub></i>(<italic":[19],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">x</i>)":[21],"of":[22,65,85,111],"radius":[23,66],"t":[24],"contains":[25],"all":[26],"length-<italic":[27],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</i>":[29],"sequences":[33],"that":[34],"can":[35],"be":[36],"derived":[37,75],"from":[38],"by":[42,49],"performing":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</i>":[46,52,69,114,119,123],"deletions":[47,115,138,151],"followed":[48],"insertions.":[53,156],"Recent":[54],"studies":[55],"have":[56,74],"successfully":[57],"characterized":[58],"balls":[61,135],"in":[62],"the":[63,82,86,104,176],"context":[64],"=":[70],"1.":[71],"These":[72],"works":[73],"explicit":[76,161],"formulas":[77],"for":[78,160],"various":[79],"quantities,":[80],"including":[81],"exact":[83],"size":[84],"balls,":[87],"extremal":[88,164],"bounds":[89,165],"(minimum":[90,166],"and":[91,99,116,139,167,172],"maximum":[92,168],"sizes),":[93,169],"as":[94,96,154],"well":[95],"expected":[97,170,177],"sizes":[98],"their":[100],"concentration":[101,173],"properties.":[102],"However,":[103],"general":[105],"case":[106],"involving":[107],"an":[108],"arbitrary":[109],"number":[110],"insertions":[120],"(<italic":[121],">":[124],"1)":[125],"remains":[126],"largely":[127],"uninvestigated.":[128],"This":[129],"work":[130],"systematically":[131],"examines":[132],"with":[136],"multiple":[137],"insertions,":[140],"focusing":[141],"specifically":[142],"on":[143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">fixed-length":[146],"burst":[147],"balls</i>,":[149],"where":[150],"occur":[152],"consecutively,":[153],"do":[155],"We":[157],"provide":[158],"solutions":[159],"cardinality":[162],"formulas,":[163],"size,":[171],"properties":[174],"surrounding":[175],"value.":[178]},"counts_by_year":[],"updated_date":"2026-03-07T16:01:11.037858","created_date":"2025-12-19T00:00:00"}
