{"id":"https://openalex.org/W2052485280","doi":"https://doi.org/10.1109/tit.2014.2314468","title":"Erasure List-Decodable Codes From Random and Algebraic Geometry Codes","display_name":"Erasure List-Decodable Codes From Random and Algebraic Geometry Codes","publication_year":2014,"publication_date":"2014-03-31","ids":{"openalex":"https://openalex.org/W2052485280","doi":"https://doi.org/10.1109/tit.2014.2314468","mag":"2052485280"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2314468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2314468","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":true,"oa_status":"green","oa_url":"https://dr.ntu.edu.sg/bitstream/10356/81744/1/Erasure%20List-Decodable%20Codes%20from%20Random%20and%20Algebraic%20Geometry%20Codes.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055926977","display_name":"Yang Ding","orcid":"https://orcid.org/0000-0001-8530-7981"},"institutions":[{"id":"https://openalex.org/I113940042","display_name":"Shanghai University","ror":"https://ror.org/006teas31","country_code":"CN","type":"education","lineage":["https://openalex.org/I113940042"]},{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["CN","SG"],"is_corresponding":true,"raw_author_name":"Yang Ding","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","Department of Mathematics, Shanghai University, Shanghai, China;"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Department of Mathematics, Shanghai University, Shanghai, China;","institution_ids":["https://openalex.org/I113940042"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031414307","display_name":"Lingfei Jin","orcid":"https://orcid.org/0000-0002-1523-880X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]}],"countries":["CN","SG"],"is_corresponding":false,"raw_author_name":"Lingfei Jin","raw_affiliation_strings":["School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China#TAB#"],"affiliations":[{"raw_affiliation_string":"School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China#TAB#","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chaoping Xing","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical & Mathematical Sciences , Nanyang Technological University , Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055926977"],"corresponding_institution_ids":["https://openalex.org/I113940042","https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":0.4229,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.74990037,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"60","issue":"7","first_page":"3889","last_page":"3894"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/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/T11797","display_name":"graph theory and CDMA systems","score":0.9950000047683716,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5825597047805786},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5642391443252563},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.5510023832321167},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5493497848510742},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.5489608645439148},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5161393880844116},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.487945020198822},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.47865164279937744},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.43129363656044006},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.41139280796051025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3867989778518677},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.32994726300239563},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30584168434143066},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2743147611618042}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5825597047805786},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5642391443252563},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.5510023832321167},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5493497848510742},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.5489608645439148},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5161393880844116},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.487945020198822},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.47865164279937744},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.43129363656044006},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.41139280796051025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3867989778518677},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.32994726300239563},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30584168434143066},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2743147611618042},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tit.2014.2314468","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2314468","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"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/81744","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/39667","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/81744/1/Erasure%20List-Decodable%20Codes%20from%20Random%20and%20Algebraic%20Geometry%20Codes.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.2021","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.2021","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1401.2716.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:dr.ntu.edu.sg:10356/81744","is_oa":true,"landing_page_url":"http://hdl.handle.net/10220/39667","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/81744/1/Erasure%20List-Decodable%20Codes%20from%20Random%20and%20Algebraic%20Geometry%20Codes.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4624504047","display_name":null,"funder_award_id":"11201286","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5848941664","display_name":null,"funder_award_id":"12172001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2052485280.pdf","grobid_xml":"https://content.openalex.org/works/W2052485280.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W57000119","https://openalex.org/W1557415002","https://openalex.org/W1580365030","https://openalex.org/W2039908519","https://openalex.org/W2083992035","https://openalex.org/W2092667913","https://openalex.org/W2106215079","https://openalex.org/W2107764994","https://openalex.org/W2116231125","https://openalex.org/W2125613330","https://openalex.org/W2127558904","https://openalex.org/W2137971504","https://openalex.org/W2159193690","https://openalex.org/W2162013214","https://openalex.org/W2226033108","https://openalex.org/W2783514811","https://openalex.org/W2895239415","https://openalex.org/W4248289108","https://openalex.org/W6676144961"],"related_works":["https://openalex.org/W2137028263","https://openalex.org/W2982181605","https://openalex.org/W2031335939","https://openalex.org/W1947543223","https://openalex.org/W4287065415","https://openalex.org/W1694938350","https://openalex.org/W2744779861","https://openalex.org/W1985967368","https://openalex.org/W2130518071","https://openalex.org/W3184492641"],"abstract_inverted_index":{"Erasure":[0],"list":[1,15,33,82,160,176],"decoding":[2,34,177],"was":[3],"introduced":[4],"to":[5,171],"correct":[6,90,144],"a":[7,14,67,91,101,131],"larger":[8],"number":[9],"of":[10,16,39,72,98,115,136,157,178,203],"erasures":[11,158,169],"by":[12],"outputting":[13],"possible":[17],"candidates.":[18],"In":[19],"this":[20,40,197],"paper,":[21],"we":[22,61,118],"consider":[23],"both":[24],"random":[25,69,102],"linear":[26,70,103],"codes":[27,31,123,182],"and":[28,52,57,113,201],"algebraic":[29,121,133,172,180],"geometry":[30,122,134,173,181],"for":[32,45,168],"from":[35,139],"erasures.":[36,116],"The":[37],"contributions":[38],"paper":[41,198],"are":[42,59,124],"twofold.":[43],"First,":[44],"arbitrary":[46],"0":[47,55],"<;":[48,50],"R":[49,74,95,138,147],"1":[51,93,145],"\u03f5":[53,58,97,155],">":[54],"(R":[56],"independent),":[60],"show":[62,119],"that":[63,88,120,190],"with":[64,80,159],"high":[65],"probability":[66],"q-ary":[68,132],"code":[71,79,104,135,192],"rate":[73,112,137],"is":[75,199],"an":[76],"erasure":[77,126],"list-decodable":[78,127],"constant":[81,200],"size":[83,161,194],"q":[84,195],"<sup":[85],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[86],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">O(1/\u03f5)</sup>":[87],"can":[89,143,183],"fraction":[92,114,156],"-":[94,96,146,148,150,154],"erasures,":[99],"i.e.,":[100],"achieves":[105],"the":[106,140,165,191],"information-theoretic":[107],"optimal":[108],"tradeoff":[109],"between":[110],"information":[111],"Second,":[117],"good":[125],"codes.":[128,174],"Precisely":[129],"speaking,":[130],"Garcia-Stichtenoth":[141],"tower":[142],"(1/\u221aq":[149],"1)":[151],"+":[152],"(1/q)":[153],"O(1/\u03f5).":[162],"This":[163],"improves":[164],"Johnson":[166],"bound":[167],"applied":[170],"Furthermore,":[175],"these":[179],"be":[184],"implemented":[185],"in":[186,196],"polynomial":[187],"time.":[188],"Note":[189],"alphabet":[193],"independent":[202],"\u03f5.":[204]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}