{"id":"https://openalex.org/W2543082256","doi":"https://doi.org/10.1109/tit.2014.2343224","title":"Combinatorial Limitations of Average-Radius List-Decoding","display_name":"Combinatorial Limitations of Average-Radius List-Decoding","publication_year":2014,"publication_date":"2014-07-25","ids":{"openalex":"https://openalex.org/W2543082256","doi":"https://doi.org/10.1109/tit.2014.2343224","mag":"2543082256"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2343224","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2343224","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/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Venkatesan Guruswami","raw_affiliation_strings":["Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036578850","display_name":"S. Sathish Narayanan","orcid":null},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Srivatsan Narayanan","raw_affiliation_strings":["Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","Google, Bangalore, India"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Carnegie Mellon University, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Google, Bangalore, India","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068388812"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":1.227,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.86086859,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"60","issue":"10","first_page":"5827","last_page":"5842"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9988999962806702,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9955999851226807,"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/list-decoding","display_name":"List decoding","score":0.7097976207733154},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6875967979431152},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6347971558570862},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5459309220314026},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.5288687348365784},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5045167207717896},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4981415271759033},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4753957688808441},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4626292884349823},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4151037633419037},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33626678586006165},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.3009871244430542},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.21039214730262756},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.07414114475250244}],"concepts":[{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.7097976207733154},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6875967979431152},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6347971558570862},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5459309220314026},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5288687348365784},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5045167207717896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4981415271759033},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4753957688808441},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4626292884349823},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4151037633419037},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33626678586006165},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.3009871244430542},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.21039214730262756},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.07414114475250244},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2343224","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2343224","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/G8564812914","display_name":null,"funder_award_id":"CCF-0963975","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W2001903189","https://openalex.org/W2013452229","https://openalex.org/W2045503106","https://openalex.org/W2096915068","https://openalex.org/W2106215079","https://openalex.org/W2137971504","https://openalex.org/W2145273667","https://openalex.org/W2146078064","https://openalex.org/W2162725776","https://openalex.org/W3149161352","https://openalex.org/W4206373597","https://openalex.org/W4229606576","https://openalex.org/W6676144961","https://openalex.org/W6680461932"],"related_works":["https://openalex.org/W3017203753","https://openalex.org/W3083229674","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W3096151594","https://openalex.org/W2964031101","https://openalex.org/W2983681086","https://openalex.org/W4200209838","https://openalex.org/W2165241191"],"abstract_inverted_index":{"We":[0],"study":[1],"certain":[2],"combinatorial":[3,195],"aspects":[4],"of":[5,81,96,104,135,145,148,154,184,192,212,232,259,311,327,331,369],"listdecoding,":[6],"motivated":[7],"by":[8],"the":[9,13,29,101,105,142,168,181,189,213,241,254,274,309,320,328,332,335,339,391],"exponential":[10],"gap":[11,329],"between":[12,308],"known":[14],"upper":[15],"bound":[16,21,171,224,248,294],"(of":[17,22],"O(1/\u03b3))":[18],"and":[19,58,186,313,355,403],"lower":[20,220,247,281,293],"\u03a9":[23,122,215,242,275,288,370,396],"<sub":[24,123,216,243,276,289,371,397,405],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[25,79,124,217,244,277,290,372,398,406],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p</sub>":[26,125,218,245,278,291,373,399,407],"(log(1/\u03b3)))":[27],"for":[28,166,197,257,267,295,316,345,377,401,409],"list":[30,34,136],"size":[31],"needed":[32,376],"to":[33,37,139,334,342],"decode":[35],"up":[36,341],"error":[38],"fraction":[39],"p":[40,54],"with":[41,128,141],"rate":[42,82,333],"\u03b3":[43,52,59,330],"away":[44,352],"from":[45,109,150,226,353,381],"capacity,":[46],"i.e.,":[47],"1":[48,83],"-":[49,51,84,86],"h(p)":[50,85],"[here":[53],"E":[55],"(0,":[56,76],"1/2)":[57],">":[60],"0].":[61],"Our":[62],"main":[63],"result":[64,231],"is":[65,112,161,263,338,375],"that":[66,69,100,237,319,365],"we":[67,202,235,303,359],"prove":[68],"in":[70,107,162,172,270],"any":[71],"binary":[72],"code":[73],"C":[74,95],"\u2286":[75],"1)":[77],"<sup":[78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[80],"\u03b3,":[87],"there":[88,119],"must":[89,120],"exist":[90,121],"a":[91,146,151,204,227,264,284,305,325,367],"set":[92],"l":[93],"\u2282":[94],"p(1/\u221a\u03b3)":[97],"codewords":[98,127,149],"such":[99],"average":[102,130,155,158,296],"distance":[103,144],"points":[106],"L":[108],"their":[110],"centroid":[111],"at":[113],"most":[114],"pn.":[115],"In":[116],"other":[117],"words,":[118],"(1/\u221a\u03b3)":[126,292],"low":[129],"radius.":[131],"The":[132,157,177],"standard":[133,182],"notion":[134,183],"decoding":[137],"corresponds":[138],"working":[140],"maximum":[143],"collection":[147],"center":[152],"instead":[153],"distance.":[156],"radius":[159,297],"form":[160],"itself":[163],"quite":[164],"natural;":[165],"instance,":[167],"classical":[169],"Johnson":[170],"fact":[173],"implies":[174],"average-radius":[175],"list-decodability.":[176],"remaining":[178],"results":[179,269],"concern":[180],"list-decoding,":[185,317],"help":[187],"clarify":[188],"current":[190],"state":[191],"affairs":[193],"regarding":[194],"bounds":[196,394],"list-decoding":[198,258,298,378],"as":[199,324,383,385],"follows.":[200],"First,":[201],"give":[203,360],"short":[205],"simple":[206,361],"proof,":[207],"over":[208],"all":[209],"fixed":[210],"alphabets,":[211],"above-mentioned":[214],"(log(1/\u03b3))":[219,246,279,408],"bound.":[221],"Earlier,":[222],"this":[223,300],"followed":[225],"complicated,":[228],"more":[229],"general":[230,314,356],"Blinovsky.":[233],"Second,":[234],"show":[236],"one":[238],"cannot":[239],"improve":[240],"via":[249],"techniques":[250],"based":[251],"on":[252],"identifying":[253],"zero-rate":[255],"regime":[256],"constantweight":[260],"codes":[261,315,348,380],"[this":[262],"typical":[265],"approach":[266],"negative":[268],"coding":[271],"theory,":[272],"including":[273],"list-size":[280,368,393],"bound].":[282],"On":[283],"positive":[285],"note,":[286],"our":[287],"circumvents":[299],"barrier.":[301],"Third,":[302],"exhibit":[304],"reverse":[306],"connection":[307],"existence":[310],"constant-weight":[312,347],"showing":[318],"best":[321],"possible":[322],"list-size,":[323],"function":[326],"capacity":[336],"limit,":[337],"same":[340],"constant":[343],"factors":[344],"both":[346],"(with":[349],"weight":[350],"bounded":[351],"p)":[354],"codes.":[357],"Fourth,":[358],"second":[362],"moment-based":[363],"proofs":[364],"w.h.p.":[366],"(1/\u03b3)":[374,400],"random":[379,388],"errors":[382,402],"well":[384],"erasures.":[386,410],"For":[387],"linear":[389],"codes,":[390],"corresponding":[392],"are":[395],"exp\u03a9":[404]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
