{"id":"https://openalex.org/W3213328810","doi":"https://doi.org/10.1109/isit50566.2022.9834433","title":"Sequence Reconstruction Problem for Deletion Channels: A Complete Asymptotic Solution","display_name":"Sequence Reconstruction Problem for Deletion Channels: A Complete Asymptotic Solution","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W3213328810","doi":"https://doi.org/10.1109/isit50566.2022.9834433","mag":"3213328810"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834433","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5029200104","display_name":"Van Long Phuoc Pham","orcid":null},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Van Long Phuoc Pham","raw_affiliation_strings":["Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5036810549","display_name":"Keshav Goyal","orcid":"https://orcid.org/0000-0003-3027-9789"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Keshav Goyal","raw_affiliation_strings":["Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5083157397","display_name":"Han Mao Kiah","orcid":"https://orcid.org/0000-0001-5611-0848"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Han Mao Kiah","raw_affiliation_strings":["Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"affiliations":[{"raw_affiliation_string":"Nanyang Technological University,School of Physical and Mathematical Sciences,Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5029200104"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":8.8184,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.98813291,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":97,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"992","last_page":"997"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9947999715805054,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9939000010490417,"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/combinatorics","display_name":"Combinatorics","score":0.7341163754463196},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6883915066719055},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.5257160067558289},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.485679030418396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42042553424835205},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39003264904022217},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.3840515613555908},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17023056745529175},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.0921473503112793},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.05266934633255005}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7341163754463196},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6883915066719055},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.5257160067558289},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.485679030418396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42042553424835205},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39003264904022217},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.3840515613555908},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17023056745529175},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0921473503112793},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.05266934633255005},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834433","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1647671624","https://openalex.org/W1969151232","https://openalex.org/W1981443800","https://openalex.org/W2007300759","https://openalex.org/W2025383314","https://openalex.org/W2162980030","https://openalex.org/W2170484108","https://openalex.org/W2788257106","https://openalex.org/W2793140590","https://openalex.org/W2793548940","https://openalex.org/W2936307398","https://openalex.org/W2963561675","https://openalex.org/W2963712885","https://openalex.org/W3015606853","https://openalex.org/W3137381687","https://openalex.org/W3196506828","https://openalex.org/W3199523352","https://openalex.org/W3210767789","https://openalex.org/W3213328810","https://openalex.org/W4285719527","https://openalex.org/W6636915900","https://openalex.org/W6772609187","https://openalex.org/W6775647111"],"related_works":["https://openalex.org/W88624181","https://openalex.org/W2910428196","https://openalex.org/W3194471551","https://openalex.org/W2369939250","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W4297950433","https://openalex.org/W4287023968","https://openalex.org/W2962814632"],"abstract_inverted_index":{"Transmit":[0],"a":[1,16,121],"codeword":[2],"x,":[3],"that":[4,80,111],"belongs":[5],"to":[6,47,52],"an":[7,66],"(\u2113":[8],"\u2212":[9],"1)deletion-correcting":[10],"code":[11],"of":[12,34,42,73,127,132],"length":[13],"n,":[14,133],"over":[15],"t-deletion":[17],"channel":[18,44],"for":[19,70,129],"some":[20],"1":[21],"\u2264":[22,24],"\u2113":[23,60,74,106],"t":[25],"<":[26],"n.":[27],"Levenshtein,":[28],"in":[29,101],"2001,":[30],"proposed":[31],"the":[32,39,102,124],"problem":[33],"determining":[35],"N(n,\u2113,t)":[36,55,128],"+":[37],"1,":[38],"minimum":[40],"number":[41],"distinct":[43],"outputs":[45],"required":[46],"uniquely":[48],"reconstruct":[49],"x.":[50],"Prior":[51],"this":[53],"work,":[54],"is":[56],"known":[57],"only":[58],"when":[59],"\u2208":[61],"{1,2}.":[62],"Here,":[63],"we":[64,78,109],"provide":[65,120],"asymptotically":[67],"exact":[68,125],"solution":[69],"all":[71,130],"values":[72,131],"and":[75,100,135],"t.":[76,136],"Specifically,":[77],"show":[79,110],"$N(n,\\ell":[81,112],",t)":[82],"=":[83,107,115],"\\binom{{2\\ell":[84,116],"}}{\\ell}/(t":[85],"-":[86,89,92,95,97],"\\ell":[87,90,96],")!{n^{t":[88],"}}":[91],"O\\left(":[93],"{{n^t}^{":[94],"1}}":[98],"\\right)$":[99],"special":[103],"instance":[104],"where":[105],"t,":[108],",\\ell":[113],")":[114],"}}{\\ell}$.":[117],"We":[118],"also":[119],"conjecture":[122],"on":[123],"value":[126],"\u2113,":[134]},"counts_by_year":[{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}