{"id":"https://openalex.org/W2040949867","doi":"https://doi.org/10.1109/tit.2014.2351393","title":"List Decoding\u2014Random Coding Exponents and Expurgated Exponents","display_name":"List Decoding\u2014Random Coding Exponents and Expurgated Exponents","publication_year":2014,"publication_date":"2014-08-22","ids":{"openalex":"https://openalex.org/W2040949867","doi":"https://doi.org/10.1109/tit.2014.2351393","mag":"2040949867"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2351393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2351393","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/A5028774270","display_name":"Neri Merhav","orcid":"https://orcid.org/0000-0002-9547-3243"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Neri Merhav","raw_affiliation_strings":["Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","Department of Electrical Engineering, Technion??Israel Institute of Technology, Haifa, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Electrical Engineering, Technion??Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5028774270"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":3.1918,"has_fulltext":false,"cited_by_count":38,"citation_normalized_percentile":{"value":0.92585811,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"60","issue":"11","first_page":"6749","last_page":"6759"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9994000196456909,"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":0.9991000294685364,"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":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.7317239046096802},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.654848575592041},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6143791079521179},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6130573749542236},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5853870511054993},{"id":"https://openalex.org/keywords/exponential-growth","display_name":"Exponential growth","score":0.5812471508979797},{"id":"https://openalex.org/keywords/universality","display_name":"Universality (dynamical systems)","score":0.5755463242530823},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5321846008300781},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5225436091423035},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49136868119239807},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.42226219177246094},{"id":"https://openalex.org/keywords/information-theory","display_name":"Information theory","score":0.4131106436252594},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.300012469291687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24226200580596924},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.20811733603477478},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.16489723324775696}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7317239046096802},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.654848575592041},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6143791079521179},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6130573749542236},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5853870511054993},{"id":"https://openalex.org/C75235859","wikidata":"https://www.wikidata.org/wiki/Q582659","display_name":"Exponential growth","level":2,"score":0.5812471508979797},{"id":"https://openalex.org/C183992945","wikidata":"https://www.wikidata.org/wiki/Q2495574","display_name":"Universality (dynamical systems)","level":2,"score":0.5755463242530823},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5321846008300781},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5225436091423035},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49136868119239807},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.42226219177246094},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.4131106436252594},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.300012469291687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24226200580596924},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.20811733603477478},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.16489723324775696},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2014.2351393","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2351393","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/G2499606113","display_name":null,"funder_award_id":"412/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1520494951","https://openalex.org/W1531445747","https://openalex.org/W1537675645","https://openalex.org/W1549664537","https://openalex.org/W1572157493","https://openalex.org/W1580365030","https://openalex.org/W2005530146","https://openalex.org/W2058380374","https://openalex.org/W2060158123","https://openalex.org/W2085581636","https://openalex.org/W2098320263","https://openalex.org/W2099111195","https://openalex.org/W2106215079","https://openalex.org/W2112339203","https://openalex.org/W2113134236","https://openalex.org/W2115827190","https://openalex.org/W2140644237","https://openalex.org/W2142901448","https://openalex.org/W2147326498","https://openalex.org/W2149072083","https://openalex.org/W2149558777","https://openalex.org/W2151170200","https://openalex.org/W2162169298","https://openalex.org/W2166455491","https://openalex.org/W2167259607","https://openalex.org/W2478708596","https://openalex.org/W2951507219","https://openalex.org/W3102586124","https://openalex.org/W3190595840","https://openalex.org/W4205855417","https://openalex.org/W4206719239","https://openalex.org/W6676144961"],"related_works":["https://openalex.org/W2968899115","https://openalex.org/W2126063594","https://openalex.org/W2096716091","https://openalex.org/W4289655414","https://openalex.org/W3196742378","https://openalex.org/W3157123936","https://openalex.org/W3138306355","https://openalex.org/W2559058673","https://openalex.org/W2377751947","https://openalex.org/W2083193613"],"abstract_inverted_index":{"Some":[0],"new":[1],"results":[2],"are":[3,24],"derived":[4],"concerning":[5],"random":[6],"coding":[7],"error":[8,61,135],"exponents":[9,12],"and":[10,40,92,150,180],"expurgated":[11,141,163,193],"for":[13,66,156],"list":[14,42,131],"decoding":[15],"with":[16,48],"a":[17,53],"deterministic":[18],"list-size":[19,28,83,101],"L.":[20],"Two":[21],"asymptotic":[22],"regimes":[23,122],"considered,":[25],"the":[26,36,58,77,81,85,99,105,108,124,127,134,157,167,184,189,192],"fixed":[27,33,82],"regime,":[29,84,102],"where":[30,44,188],"L":[31,45],"is":[32,64,87,123,154,171],"independently":[34],"of":[35,107,117,126,169,191],"block":[37],"length":[38],"n,":[39],"exponential":[41,96,100],"size,":[43],"grows":[46],"exponentially":[47],"n.":[49],"We":[50],"first":[51],"derive":[52],"general":[54],"upper":[55],"bound":[56,70,86,194],"on":[57],"list-decoding":[59],"average":[60],"probability,":[62],"which":[63,153,165],"suitable":[65],"both":[67,121,146],"regimes.":[68,79],"This":[69],"leads":[71],"to":[72,89,174,176,183],"more":[73],"specific":[74],"bounds":[75,91,142],"in":[76,120,133,181],"two":[78],"In":[80,98],"related":[88],"known":[90],"we":[93,103,139],"establish":[94,104],"its":[95],"tightness.":[97],"achievability":[106],"well-known":[109],"sphere":[110],"packing":[111],"lower":[112],"bound.":[113],"An":[114],"immediate":[115],"byproduct":[116],"our":[118],"analysis":[119],"universality":[125],"maximum":[128],"mutual":[129],"information":[130],"decoder":[132],"exponent":[136],"sense.":[137],"Finally,":[138],"consider":[140],"at":[143],"low":[144],"rates,":[145],"using":[147],"Gallager's":[148],"approach":[149],"Csisz\u00e1r-K\u00f6rner-Marton":[151],"approach,":[152],"equivalent":[155],"optimal":[158],"input":[159],"assignment.":[160],"The":[161],"latter":[162],"bound,":[164],"involves":[166],"notion":[168],"multi-information,":[170],"also":[172],"modified":[173],"apply":[175],"continuous":[177],"alphabet":[178],"channels,":[179],"particular,":[182],"Gaussian":[185],"memoryless":[186],"channel,":[187],"expression":[190],"becomes":[195],"quite":[196],"explicit.":[197]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3}],"updated_date":"2026-03-28T08:17:26.163206","created_date":"2025-10-10T00:00:00"}
