{"id":"https://openalex.org/W1989656617","doi":"https://doi.org/10.1109/isit.2014.6875161","title":"Second-order capacities of erasure and list decoding","display_name":"Second-order capacities of erasure and list decoding","publication_year":2014,"publication_date":"2014-06-01","ids":{"openalex":"https://openalex.org/W1989656617","doi":"https://doi.org/10.1109/isit.2014.6875161","mag":"1989656617"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2014.6875161","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","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/A5058345431","display_name":"Vincent Y. F. Tan","orcid":"https://orcid.org/0000-0002-5008-4527"},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Vincent Y. F. Tan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, National University of Singapore","[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, National University of Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Dept. of Electr. & Comput. Eng., Nat. Univ. of Singapore, Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043000577","display_name":"Pierre Moulin","orcid":"https://orcid.org/0000-0001-5215-8596"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Pierre Moulin","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign","Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Dept of Electr. & Comput. Engg, Univ. of Illinois at Urbana-Champaign, Urbana, IL, USA","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058345431"],"corresponding_institution_ids":["https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":0.8513,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.76735867,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1887","last_page":"1891"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994999766349792,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9991999864578247,"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/decoding-methods","display_name":"Decoding methods","score":0.7800430059432983},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.6190903782844543},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5663328766822815},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.48086148500442505},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.469735711812973},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4613724946975708},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.45473816990852356},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43820449709892273},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4348875880241394},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33323660492897034},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3299059271812439},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25296878814697266},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.22779697179794312},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.1137770414352417},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.09591400623321533},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07394272089004517}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7800430059432983},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.6190903782844543},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5663328766822815},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.48086148500442505},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.469735711812973},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4613724946975708},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.45473816990852356},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43820449709892273},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4348875880241394},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33323660492897034},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3299059271812439},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25296878814697266},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.22779697179794312},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1137770414352417},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.09591400623321533},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07394272089004517},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2014.6875161","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2014.6875161","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.723.224","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.723.224","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://www.ece.nus.edu.sg/stfpage/vtan/isit_erasures.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1531445747","https://openalex.org/W1549664537","https://openalex.org/W1966263746","https://openalex.org/W1989008275","https://openalex.org/W2005530146","https://openalex.org/W2008130731","https://openalex.org/W2031508220","https://openalex.org/W2040949867","https://openalex.org/W2042212887","https://openalex.org/W2058380374","https://openalex.org/W2104340231","https://openalex.org/W2106864314","https://openalex.org/W2115827190","https://openalex.org/W2142901448","https://openalex.org/W2162276357","https://openalex.org/W2170370031","https://openalex.org/W2196937749","https://openalex.org/W2254512934","https://openalex.org/W2266878870","https://openalex.org/W2401360159","https://openalex.org/W2597388719","https://openalex.org/W2751862591","https://openalex.org/W2962750434","https://openalex.org/W3099057269","https://openalex.org/W3105849555","https://openalex.org/W3190595840","https://openalex.org/W4299432846","https://openalex.org/W4302366875","https://openalex.org/W6660758151","https://openalex.org/W6660849819"],"related_works":["https://openalex.org/W2115811863","https://openalex.org/W2372190485","https://openalex.org/W2962908977","https://openalex.org/W1848880869","https://openalex.org/W2583282232","https://openalex.org/W3017203753","https://openalex.org/W3083229674","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W1568966867"],"abstract_inverted_index":{"We":[0,58],"derive":[1],"the":[2,36,45,50,53,62,73,96,109,117,127],"second-order":[3,7,21,97],"capacities":[4],"(supremum":[5],"of":[6,52,86,126],"coding":[8,77,114],"rates)":[9],"for":[10,68],"erasure":[11,16,54],"and":[12,39,55,93,120],"list":[13,80,84],"decoding.":[14],"Fpor":[15],"decoding,":[17,81],"we":[18,82],"show":[19,59,94],"that":[20,61,95],"capacity":[22,98],"is":[23,35,44,99,108],"\u221aV\u03a6":[24,101],"<sup":[25,90,102],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[26,30,42,91,103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">-1</sup>":[27,104],"(\u03b5":[28,40],"<sub":[29,41],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">t</sub>":[31,43],")":[32],"where":[33,106],"V":[34],"channel":[37,76],"dispersion":[38],"total":[46],"error":[47,111],"probability,":[48],"i.e.":[49],"sum":[51],"undetected":[56],"errors.":[57],"numerically":[60],"expected":[63],"rate":[64],"at":[65],"finite":[66,74],"blocklength":[67,75],"erasures":[69],"decoding":[70],"can":[71],"exceed":[72],"rate.":[78],"For":[79],"consider":[83],"codes":[85],"deterministic":[87],"size":[88],"2":[89],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u221anl</sup>":[92],"l+":[100],"(\u03b5)":[105],"\u03b5":[107],"permissible":[110],"probability.":[112],"Both":[113],"schemes":[115],"use":[116],"threshold":[118],"decoder":[119],"converses":[121],"are":[122],"proved":[123],"using":[124],"variants":[125],"meta-converse.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
