{"id":"https://openalex.org/W3175469882","doi":"https://doi.org/10.1109/tit.2022.3223023","title":"The Zero-Rate Threshold for Adversarial Bit-Deletions is Less Than 1/2","display_name":"The Zero-Rate Threshold for Adversarial Bit-Deletions is Less Than 1/2","publication_year":2022,"publication_date":"2022-11-17","ids":{"openalex":"https://openalex.org/W3175469882","doi":"https://doi.org/10.1109/tit.2022.3223023","mag":"3175469882"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3223023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3223023","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/A5068388812","display_name":"Venkatesan Guruswami","orcid":"https://orcid.org/0000-0001-7926-3396"},"institutions":[{"id":"https://openalex.org/I4210107338","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I4210107338"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Venkatesan Guruswami","raw_affiliation_strings":["Departments of EECS and Mathematics, Simons Institute for the Theory of Computing, UC Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0001-7926-3396","affiliations":[{"raw_affiliation_string":"Departments of EECS and Mathematics, Simons Institute for the Theory of Computing, UC Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I4210107338","https://openalex.org/I95457486"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5017456930","display_name":"Xiaoyu He","orcid":"https://orcid.org/0000-0003-2958-6845"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xiaoyu He","raw_affiliation_strings":["Department of Mathematics, Princeton University, Princeton, NJ, USA"],"raw_orcid":"https://orcid.org/0000-0003-2958-6845","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077120267","display_name":"Ray Li","orcid":"https://orcid.org/0000-0003-3441-2364"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]},{"id":"https://openalex.org/I97018004","display_name":"Stanford University","ror":"https://ror.org/00f54p054","country_code":"US","type":"education","lineage":["https://openalex.org/I97018004"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ray Li","raw_affiliation_strings":["Department of Computer Science, Stanford University, Stanford, CA, USA","Department of EECS, UC Berkeley, Berkeley, CA, USA"],"raw_orcid":"https://orcid.org/0000-0003-3441-2364","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stanford University, Stanford, CA, USA","institution_ids":["https://openalex.org/I97018004"]},{"raw_affiliation_string":"Department of EECS, UC Berkeley, Berkeley, CA, USA","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.6274,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.61766267,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"69","issue":"4","first_page":"2218","last_page":"2239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9968000054359436,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9968000054359436,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9962999820709229,"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":0.9955000281333923,"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/notation","display_name":"Notation","score":0.6351110339164734},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.482511043548584},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4516460597515106},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4218611419200897},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39286285638809204},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.23471057415008545},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06781840324401855}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6351110339164734},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.482511043548584},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4516460597515106},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4218611419200897},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39286285638809204},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.23471057415008545},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06781840324401855},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3223023","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3223023","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/G2911450482","display_name":null,"funder_award_id":"DGE-165651 8","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3280610492","display_name":"CIF: Small: New Coding Techniques for Synchronization Errors","funder_award_id":"1814603","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5901906412","display_name":"Collaborative Research: CIF: Medium: Group testing for Real-Time Polymerase Chain Reactions: From Primer Selection to Amplification Curve Analysis","funder_award_id":"2210823","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7642804147","display_name":"CCF-BSF: AF: CIF: Small: Low Complexity Error Correction","funder_award_id":"1814629","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1511694993","https://openalex.org/W1647671624","https://openalex.org/W1793292512","https://openalex.org/W1968746653","https://openalex.org/W2002883296","https://openalex.org/W2003920341","https://openalex.org/W2029448413","https://openalex.org/W2072668710","https://openalex.org/W2091419774","https://openalex.org/W2093355963","https://openalex.org/W2096915068","https://openalex.org/W2125870772","https://openalex.org/W2751518651","https://openalex.org/W2803511783","https://openalex.org/W2963044831","https://openalex.org/W2963132305","https://openalex.org/W2963700977","https://openalex.org/W2963733306","https://openalex.org/W2989820098","https://openalex.org/W3000525759","https://openalex.org/W3001231750","https://openalex.org/W3004280195","https://openalex.org/W3010621781","https://openalex.org/W3030897411","https://openalex.org/W3081339149","https://openalex.org/W3092309105","https://openalex.org/W3126358592","https://openalex.org/W4213214442","https://openalex.org/W4235132786","https://openalex.org/W4287670188","https://openalex.org/W6782378679"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2504004674","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"We":[0],"prove":[1],"that":[2,9,43,57,63,110],"there":[3,58],"exists":[4,59],"an":[5,82],"absolute":[6,60],"constant$\\delta":[7],">0$such":[8,62],"any":[10,64,124],"binary":[11,112],"code$C\\subset":[12],"\\{0,1\\}^{N}":[13],"\\vphantom":[14],"{_{\\int":[15],"}}$tolerating$(1/2-\\delta)N$adversarial":[16],"deletions":[17,46,93],"must":[18,47,70,94],"satisfy$|C|\\le":[19],"2^{":[20],"\\mathop":[21],"{\\mathrm":[22],"{poly}}":[23],"\\log":[24],"N}$and":[25],"thus":[26],"have":[27,48,96],"rate":[28,49,97],"asymptotically":[29],"approaching":[30,98],"0.":[31,99],"This":[32],"is":[33,134],"the":[34,40],"first":[35],"constant":[36],"fraction":[37],"improvement":[38],"over":[39],"trivial":[41],"bound":[42],"codes":[44,88],"tolerating$N/2$adversarial":[45],"going":[50],"to":[51,136],"0":[52],"asymptotically.":[53],"Equivalently,":[54],"we":[55,85,121],"show":[56,86],"constants$A$and$\\delta":[61],"set$C\\subset":[65],"\\{0,1\\}^{N}$of$2^{\\log":[66],"^{A}":[67],"N}$binary":[68],"strings":[69,113,128],"contain":[71],"two":[72,127],"strings$c$and$c'$whose":[73],"longest":[74],"common":[75,140],"subsequence":[76],"has":[77],"length":[78],"at":[79],"least$(1/2+\\delta)N$.":[80],"As":[81],"immediate":[83],"corollary,":[84],"that$q$-ary":[87],"tolerating":[89],"a":[90,107,138],"fraction$1-(1+2\\delta)/q$of":[91],"adversarial":[92],"also":[95],"Our":[100],"techniques":[101],"include":[102],"string":[103],"regularity":[104],"arguments":[105],"and":[106],"structural":[108],"lemma":[109],"classifies":[111],"by":[114],"their":[115],"oscillation":[116,131],"patterns.":[117],"Leveraging":[118],"these":[119],"tools,":[120],"find":[122,137],"in":[123],"large":[125],"code":[126],"with":[129],"similar":[130],"patterns,":[132],"which":[133],"exploited":[135],"long":[139],"subsequence.":[141]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":2}],"updated_date":"2026-08-06T08:24:18.245995","created_date":"2025-10-10T00:00:00"}