{"id":"https://openalex.org/W4379984077","doi":"https://doi.org/10.1137/21m142798x","title":"Efficient Linear and Affine Codes for Correcting Insertions/Deletions","display_name":"Efficient Linear and Affine Codes for Correcting Insertions/Deletions","publication_year":2023,"publication_date":"2023-06-06","ids":{"openalex":"https://openalex.org/W4379984077","doi":"https://doi.org/10.1137/21m142798x"},"language":"en","primary_location":{"id":"doi:10.1137/21m142798x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m142798x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5014279694","display_name":"Kuan Cheng","orcid":"https://orcid.org/0000-0002-8972-1749"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kuan Cheng","raw_affiliation_strings":["Center on Frontiers of Computing Studies, Computer Science Department, Peking University"],"affiliations":[{"raw_affiliation_string":"Center on Frontiers of Computing Studies, Computer Science Department, Peking University","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068388812","display_name":"Venkatesan Guruswami","orcid":"https://orcid.org/0000-0001-7926-3396"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Venkatesan Guruswami","raw_affiliation_strings":["Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213 USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080591933","display_name":"Bernhard Haeupler","orcid":"https://orcid.org/0000-0003-3381-0459"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bernhard Haeupler","raw_affiliation_strings":["Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA 15213 USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100353984","display_name":"Xin Li","orcid":"https://orcid.org/0000-0002-9408-2451"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xin Li","raw_affiliation_strings":["Department of Computer Science, Johns Hopkins University, Baltimore, MD 21218 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Johns Hopkins University, Baltimore, MD 21218 USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014279694"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.5925,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.83074676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"37","issue":"2","first_page":"748","last_page":"778"},"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9997000098228455,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9886000156402588,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.7521436214447021},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6540242433547974},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6131046414375305},{"id":"https://openalex.org/keywords/affine-transformation","display_name":"Affine transformation","score":0.5465951561927795},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5192906260490417},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5070173740386963},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.46981480717658997},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.4345032572746277},{"id":"https://openalex.org/keywords/complement","display_name":"Complement (music)","score":0.43444186449050903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4189490079879761},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.4157350957393646},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.414423406124115},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3648177981376648},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20885726809501648},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.07532981038093567}],"concepts":[{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.7521436214447021},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6540242433547974},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6131046414375305},{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.5465951561927795},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5192906260490417},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5070173740386963},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.46981480717658997},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.4345032572746277},{"id":"https://openalex.org/C112313634","wikidata":"https://www.wikidata.org/wiki/Q7886648","display_name":"Complement (music)","level":5,"score":0.43444186449050903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4189490079879761},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.4157350957393646},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.414423406124115},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3648177981376648},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20885726809501648},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.07532981038093567},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C127716648","wikidata":"https://www.wikidata.org/wiki/Q104053","display_name":"Phenotype","level":3,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C188082640","wikidata":"https://www.wikidata.org/wiki/Q1780899","display_name":"Complementation","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/21m142798x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/21m142798x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1288140072","display_name":null,"funder_award_id":"409864","funder_id":"https://openalex.org/F4320324787","funder_display_name":"Peking University"},{"id":"https://openalex.org/G6684219475","display_name":null,"funder_award_id":"CCF-1845349","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8794390409","display_name":null,"funder_award_id":"CCF-1617713","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320324787","display_name":"Peking University","ror":"https://ror.org/02v51f717"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2029448413","https://openalex.org/W2135393523","https://openalex.org/W2159193690","https://openalex.org/W2163137752","https://openalex.org/W2751518651","https://openalex.org/W2963044831","https://openalex.org/W2964230863","https://openalex.org/W2964253788","https://openalex.org/W4213214442"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W4302771537","https://openalex.org/W1964096323","https://openalex.org/W2740543340","https://openalex.org/W2951416090","https://openalex.org/W2105471374","https://openalex.org/W2119135810","https://openalex.org/W2008960744","https://openalex.org/W2014631828","https://openalex.org/W2142293082"],"abstract_inverted_index":{".This":[0],"paper":[1],"studies":[2],"linear":[3,61,95,126,140,162,180,189],"and":[4,15,74,89,100,111,128,150],"affine":[5,206,212],"error-correcting":[6],"codes":[7,20,25,62,73,96,127,141,207],"for":[8,82,121,125,132,142,154,182,191,205],"correcting":[9,63,107,143,227],"synchronization":[10],"errors":[11,184],"such":[12,19],"as":[13,117],"insertions":[14,110],"deletions.":[16,112],"We":[17,86,145,165],"call":[18],"linear/affine":[21],"insdel":[22,163,192,225],"codes.":[23,164],"Linear":[24],"that":[26,56,68,175,197],"can":[27,218],"correct":[28,220],"even":[29],"a":[30,118,133,221],"single":[31],"deletion":[32],"are":[33,79],"limited":[34],"to":[35],"having":[36],"an":[37,171,186,210],"information":[38],"rate":[39,76,101,115,156,215],"at":[40],"most":[41],"\\(1/2\\)":[42,104,116],"(achieved":[43],"by":[44,208],"the":[45,69,91,130,137,155,198],"trivial":[46],"two":[47],"fold":[48],"repetition":[49,72],"code).":[50],"Previously,":[51],"it":[52],"was":[53],"(erroneously)":[54],"reported":[55],"more":[57],"generally":[58],"no":[59],"nontrivial":[60],"\\(k\\)":[64,84],"deletions":[65,124],"exist,":[66],"i.e.,":[67],"\\((k+1)\\)":[70],"-fold":[71],"its":[75],"of":[77,93,97,106,136,139,161,214,224],"\\(1/(k+1)\\)":[78],"basically":[80],"optimal":[81],"any":[83,177],".":[85],"disprove":[87],"this":[88],"show":[90,196],"existence":[92],"binary":[94],"length":[98],"\\(n\\)":[99],"just":[102],"below":[103],"capable":[105],"\\(\\Omega":[108],"(n)\\)":[109],"This":[113],"identifies":[114],"sharp":[119],"threshold":[120],"recovery":[122],"from":[123],"reopens":[129],"quest":[131],"better":[134],"understanding":[135],"capabilities":[138],"insertions/deletions.":[144],"prove":[146],"novel":[147],"outer":[148],"bounds":[149,153],"existential":[151,168],"inner":[152],"vs.":[157],"(edit)":[158],"distance":[159],"trade-off":[160],"complement":[166],"our":[167],"results":[169],"with":[170],"efficient":[172],"synchronization-string-based":[173],"transformation":[174],"converts":[176],"asymptotically":[178,187],"good":[179,188],"code":[181,190,213],"Hamming":[183],"into":[185],"errors.":[193],"Last,":[194],"we":[195],"\\(\\frac{1}{2}\\)":[199],"-rate":[200],"limitation":[201],"does":[202],"not":[203],"hold":[204],"giving":[209],"explicit":[211],"\\(1-\\epsilon\\)":[216],"which":[217],"efficiently":[219],"constant":[222],"fraction":[223],"errors.Keywordserror":[226],"codeslinear":[228],"codeinsertion/deletion":[229],"errorsMSC":[230],"codes94B0594B2594B3594B65":[231]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}