{"id":"https://openalex.org/W2153610161","doi":"https://doi.org/10.1109/tit.2010.2095202","title":"On Multiple Decoding Attempts for Reed\u2013Solomon Codes: A Rate-Distortion Approach","display_name":"On Multiple Decoding Attempts for Reed\u2013Solomon Codes: A Rate-Distortion Approach","publication_year":2011,"publication_date":"2011-01-21","ids":{"openalex":"https://openalex.org/W2153610161","doi":"https://doi.org/10.1109/tit.2010.2095202","mag":"2153610161"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2095202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2095202","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1005.4461","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5082675689","display_name":"Phong S. Nguyen","orcid":null},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Phong S. Nguyen","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5034044119","display_name":"Henry D. Pfister","orcid":"https://orcid.org/0000-0001-5521-4397"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry D. Pfister","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071834465","display_name":"Krishna Narayanan","orcid":"https://orcid.org/0000-0002-7252-3391"},"institutions":[{"id":"https://openalex.org/I91045830","display_name":"Texas A&M University","ror":"https://ror.org/01f5ytq51","country_code":"US","type":"education","lineage":["https://openalex.org/I91045830"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Krishna R. Narayanan","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Texas A and M University, College Station, TX, USA","institution_ids":["https://openalex.org/I91045830"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5082675689"],"corresponding_institution_ids":["https://openalex.org/I91045830"],"apc_list":null,"apc_paid":null,"fwci":1.3312,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.85191252,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"57","issue":"2","first_page":"668","last_page":"691"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9976999759674072,"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":0.9973999857902527,"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":0.7081201076507568},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.629164457321167},{"id":"https://openalex.org/keywords/distortion","display_name":"Distortion (music)","score":0.5299867987632751},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4648968279361725},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4045145809650421},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36856839060783386},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36475682258605957},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2661726772785187},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.21402251720428467},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.1826244592666626}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7081201076507568},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.629164457321167},{"id":"https://openalex.org/C126780896","wikidata":"https://www.wikidata.org/wiki/Q899871","display_name":"Distortion (music)","level":4,"score":0.5299867987632751},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4648968279361725},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4045145809650421},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36856839060783386},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36475682258605957},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2661726772785187},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.21402251720428467},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.1826244592666626},{"id":"https://openalex.org/C194257627","wikidata":"https://www.wikidata.org/wiki/Q211554","display_name":"Amplifier","level":3,"score":0.0},{"id":"https://openalex.org/C2776257435","wikidata":"https://www.wikidata.org/wiki/Q1576430","display_name":"Bandwidth (computing)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2010.2095202","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2095202","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:arXiv.org:1005.4461","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.4461","pdf_url":"https://arxiv.org/pdf/1005.4461","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1005.4461","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1005.4461","pdf_url":"https://arxiv.org/pdf/1005.4461","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":43,"referenced_works":["https://openalex.org/W1509920393","https://openalex.org/W1534925464","https://openalex.org/W1549664537","https://openalex.org/W1560089794","https://openalex.org/W1570162207","https://openalex.org/W1581232847","https://openalex.org/W1966180159","https://openalex.org/W2023355697","https://openalex.org/W2029236670","https://openalex.org/W2032431003","https://openalex.org/W2034597819","https://openalex.org/W2035894387","https://openalex.org/W2052690615","https://openalex.org/W2063002186","https://openalex.org/W2077814477","https://openalex.org/W2095959930","https://openalex.org/W2096096460","https://openalex.org/W2099111195","https://openalex.org/W2100852839","https://openalex.org/W2107310839","https://openalex.org/W2115044769","https://openalex.org/W2116104319","https://openalex.org/W2121555134","https://openalex.org/W2128381517","https://openalex.org/W2135469284","https://openalex.org/W2138779125","https://openalex.org/W2139559342","https://openalex.org/W2141877208","https://openalex.org/W2142901448","https://openalex.org/W2143986363","https://openalex.org/W2144760922","https://openalex.org/W2148575324","https://openalex.org/W2148986322","https://openalex.org/W2153437350","https://openalex.org/W2156826724","https://openalex.org/W2161239286","https://openalex.org/W2174999760","https://openalex.org/W2532607215","https://openalex.org/W2573309758","https://openalex.org/W4210992409","https://openalex.org/W4234843542","https://openalex.org/W4401325430","https://openalex.org/W6630545562"],"related_works":["https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W3203142394","https://openalex.org/W2161474341","https://openalex.org/W4302615923","https://openalex.org/W1974101135","https://openalex.org/W2351061015","https://openalex.org/W2017509870","https://openalex.org/W4220731478","https://openalex.org/W1568966867"],"abstract_inverted_index":{"One":[0],"popular":[1],"approach":[2,110],"to":[3,47,78,114,142],"soft-decision":[4,154],"decoding":[5,20,68,74,123,156,197],"of":[6,16,30,90,120,124,152,166,181,196],"Reed-Solomon":[7],"(RS)":[8],"codes":[9],"is":[10,130,140],"based":[11,42],"on":[12,43],"using":[13,159,185],"multiple":[14,121],"trials":[15,151],"a":[17,28,40,71,83,96,133],"simple":[18],"RS":[19,125],"algorithm":[21],"in":[22,34],"combination":[23],"with":[24,192],"erasing":[25],"or":[26,32],"flipping":[27],"set":[29,89],"symbols":[31],"bits":[33],"each":[35],"trial.":[36],"This":[37,127],"paper":[38],"presents":[39],"framework":[41],"rate-distortion":[44,137],"(RD)":[45],"theory":[46],"analyze":[48],"these":[49],"multiple-decoding":[50],"algorithms.":[51],"By":[52],"defining":[53],"an":[54,59,63],"appropriate":[55],"distortion":[56,79],"measure":[57],"between":[58],"error":[60],"pattern":[61],"and":[62,163,169],"erasure":[64,91,182],"pattern,":[65],"the":[66,87,108,116,167,186,193],"successful":[67],"condition,":[69],"for":[70,147],"single":[72],"errors-and-erasures":[73,122],"trial,":[75],"becomes":[76],"equivalent":[77],"being":[80],"less":[81],"than":[82],"fixed":[84],"threshold.":[85],"Finding":[86],"best":[88],"patterns":[92,183],"also":[93,131,173],"turns":[94],"into":[95],"covering":[97],"problem":[98],"that":[99,179],"can":[100,111],"be":[101,112],"solved":[102],"asymptotically":[103],"by":[104],"RD":[105,168],"theory.":[106],"Thus,":[107],"proposed":[109,187],"used":[113],"understand":[115],"asymptotic":[117],"performance-versus-complexity":[118],"tradeoff":[119],"codes.":[126],"initial":[128],"result":[129],"extended":[132],"few":[134],"directions.":[135],"The":[136],"exponent":[138],"(RDE)":[139],"computed":[141],"give":[143],"more":[144],"precise":[145],"results":[146,177],"moderate":[148],"blocklengths.":[149],"Multiple":[150],"algebraic":[153],"(ASD)":[155],"are":[157,172],"analyzed":[158],"this":[160],"framework.":[161],"Analytical":[162],"numerical":[164],"computations":[165],"RDE":[170],"functions":[171],"presented.":[174],"Finally,":[175],"simulation":[176],"show":[178],"sets":[180],"designed":[184],"methods":[188],"outperform":[189],"other":[190],"algorithms":[191],"same":[194],"number":[195],"trials.":[198]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-10T16:38:18.471706","created_date":"2016-06-24T00:00:00"}