{"id":"https://openalex.org/W3130209387","doi":"https://doi.org/10.1109/tc.2021.3060701","title":"Fast En/Decoding of Reed-Solomon Codes for Failure Recovery","display_name":"Fast En/Decoding of Reed-Solomon Codes for Failure Recovery","publication_year":2021,"publication_date":"2021-02-20","ids":{"openalex":"https://openalex.org/W3130209387","doi":"https://doi.org/10.1109/tc.2021.3060701","mag":"3130209387"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2021.3060701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2021.3060701","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"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 Computers","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/A5059672491","display_name":"Yok Jye Tang","orcid":"https://orcid.org/0000-0003-3125-3572"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Yok Jye Tang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH, USA"],"raw_orcid":"https://orcid.org/0000-0003-3125-3572","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5063673084","display_name":"Xinmiao Zhang","orcid":"https://orcid.org/0000-0002-8289-2377"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Xinmiao Zhang","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH, USA"],"raw_orcid":"https://orcid.org/0000-0002-8289-2377","affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Ohio State University, Columbus, OH, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":3.0384,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.91370099,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"71","issue":"3","first_page":"724","last_page":"735"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9951000213623047,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9768999814987183,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/vandermonde-matrix","display_name":"Vandermonde matrix","score":0.9313016533851624},{"id":"https://openalex.org/keywords/cauchy-matrix","display_name":"Cauchy matrix","score":0.7192983627319336},{"id":"https://openalex.org/keywords/parity-check-matrix","display_name":"Parity-check matrix","score":0.676236629486084},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5924950838088989},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.583338737487793},{"id":"https://openalex.org/keywords/identity-matrix","display_name":"Identity matrix","score":0.5618788003921509},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.5509631633758545},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.517227292060852},{"id":"https://openalex.org/keywords/matrix","display_name":"Matrix (chemical analysis)","score":0.5026891231536865},{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.49548065662384033},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.46961337327957153},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.4581640362739563},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.400045782327652},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36972901225090027},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.35683420300483704},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.2803229093551636},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.2631322145462036},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2324047088623047},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.0801556408405304}],"concepts":[{"id":"https://openalex.org/C55294529","wikidata":"https://www.wikidata.org/wiki/Q579544","display_name":"Vandermonde matrix","level":3,"score":0.9313016533851624},{"id":"https://openalex.org/C24970386","wikidata":"https://www.wikidata.org/wiki/Q2915997","display_name":"Cauchy matrix","level":5,"score":0.7192983627319336},{"id":"https://openalex.org/C95925971","wikidata":"https://www.wikidata.org/wiki/Q3100414","display_name":"Parity-check matrix","level":4,"score":0.676236629486084},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5924950838088989},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.583338737487793},{"id":"https://openalex.org/C134567657","wikidata":"https://www.wikidata.org/wiki/Q193794","display_name":"Identity matrix","level":3,"score":0.5618788003921509},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.5509631633758545},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.517227292060852},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.5026891231536865},{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.49548065662384033},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.46961337327957153},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.4581640362739563},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.400045782327652},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36972901225090027},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.35683420300483704},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2803229093551636},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.2631322145462036},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2324047088623047},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.0801556408405304},{"id":"https://openalex.org/C106947605","wikidata":"https://www.wikidata.org/wiki/Q3278575","display_name":"Cauchy boundary condition","level":4,"score":0.0},{"id":"https://openalex.org/C154416045","wikidata":"https://www.wikidata.org/wiki/Q5500196","display_name":"Free boundary problem","level":3,"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/C182310444","wikidata":"https://www.wikidata.org/wiki/Q1332643","display_name":"Boundary value problem","level":2,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"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/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2021.3060701","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2021.3060701","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","0016-9340","1557-9956","2326-3814"],"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 Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3481074022","display_name":"CCSS: Error-Correcting Codes Enabling Hyper-Speed Communications and Storage: from Theory to Hardware Architectures","funder_award_id":"2011785","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":20,"referenced_works":["https://openalex.org/W2757614","https://openalex.org/W1606480398","https://openalex.org/W2127908002","https://openalex.org/W2138744797","https://openalex.org/W2158646168","https://openalex.org/W2159416784","https://openalex.org/W2165339489","https://openalex.org/W2518008359","https://openalex.org/W2743248540","https://openalex.org/W2919319018","https://openalex.org/W2958788111","https://openalex.org/W2963700143","https://openalex.org/W2997729597","https://openalex.org/W4236461225","https://openalex.org/W4254859371","https://openalex.org/W6600099065","https://openalex.org/W6605304400","https://openalex.org/W6606324823","https://openalex.org/W6630529663","https://openalex.org/W6636645890"],"related_works":["https://openalex.org/W2341038609","https://openalex.org/W599168895","https://openalex.org/W2106627875","https://openalex.org/W2154611471","https://openalex.org/W1568966867","https://openalex.org/W2141398681","https://openalex.org/W2059900558","https://openalex.org/W2366919161","https://openalex.org/W2524703337","https://openalex.org/W2937193593"],"abstract_inverted_index":{"Reed-Solomon":[0],"(RS)":[1],"codes":[2,17,132,223],"are":[3,18,94],"used":[4],"in":[5,59,68,103,138,159,177,192,200,211],"many":[6],"storage":[7],"systems":[8],"for":[9,48,258],"failure":[10],"recovery.":[11],"In":[12,85],"popular":[13],"software":[14],"implementations,":[15],"RS":[16,131,181,222],"defined":[19],"by":[20,46,236],"using":[21,133,171,188],"a":[22,29,37,49,54,112,134,142,259],"parity":[23,135],"check":[24,136],"matrix":[25,31,51,71,110,137,144,149,176,217,250,253],"that":[26,52,79,151],"is":[27,116,162,197,268],"either":[28],"Cauchy":[30,50,109,249],"padded":[32],"with":[33,122,146,154,254],"an":[34,147,179],"identity":[35,148],"or":[36,63],"Vandermonde":[38,70,143,175,252],"matrix.":[39],"The":[40,174],"encoding":[41,161,234],"complexity":[42],"can":[43,167],"be":[44,168,186],"reduced":[45],"searching":[47,114],"has":[53],"smaller":[55],"number":[56,100,124],"of":[57,91,101,107,125,141,207,261],"\u20181's":[58,102],"its":[60],"bit":[61,105],"matrices":[62,106,121],"exploiting":[64],"Reed-Muller":[65],"(RM)":[66],"transform":[67,210],"the":[69,82,99,104,108,120,139,152,155,160,165,205,208,216,228,233,244,265],"multiplication.":[72],"This":[73],"article":[74,202],"proposes":[75],"two":[76,229],"new":[77,113],"approaches":[78,231],"improve":[80],"upon":[81],"previous":[83],"schemes.":[84],"our":[86],"first":[87],"approach,":[88],"different":[89],"constructions":[90],"finite":[92,189],"fields":[93],"explored":[95],"to":[96,118,185,203,214],"further":[97],"reduce":[98,215],"and":[111,164,238,251],"method":[115],"developed":[117,199],"find":[119],"minimum":[123],"\u20181's.":[126],"Our":[127],"second":[128],"approach":[129],"defines":[130],"format":[140],"concatenated":[145],"so":[150],"multiplication":[153,218],"inverse":[156],"erasure":[157],"columns":[158],"eliminated":[163],"decoding":[166,266],"carried":[169],"out":[170],"simplified":[172],"formulas.":[173],"such":[178],"unconventional":[180],"code":[182],"definition":[183],"needs":[184],"constructed":[187],"field":[190],"elements":[191],"non-consecutive":[193],"order.":[194],"A":[195],"modification":[196],"also":[198,269],"this":[201,212],"enable":[204],"application":[206],"RM":[209,255],"case":[213],"complexity.":[219],"For":[220],"4-erasure-correcting":[221],"over":[224,243],"<inline-formula><tex-math":[225],"notation=\"LaTeX\">$GF(2^8)$</tex-math></inline-formula>":[226],",":[227],"proposed":[230],"increase":[232],"throughput":[235,267],"40":[237],"15":[239],"percent":[240],"on":[241,248],"average":[242],"prior":[245],"works":[246],"based":[247],"transform,":[256],"respectively,":[257],"range":[260],"codeword":[262],"length.":[263],"Moreover,":[264],"significantly":[270],"improved.":[271]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
