{"id":"https://openalex.org/W3025694015","doi":"https://doi.org/10.1109/tit.2020.2994905","title":"On Decoding Algebraic Codes Using Radical Locators","display_name":"On Decoding Algebraic Codes Using Radical Locators","publication_year":2020,"publication_date":"2020-05-16","ids":{"openalex":"https://openalex.org/W3025694015","doi":"https://doi.org/10.1109/tit.2020.2994905","mag":"3025694015"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2994905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2994905","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/A5026858161","display_name":"Tsung\u2010Ching Lin","orcid":null},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Tsung-Ching Lin","raw_affiliation_strings":["Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088089404","display_name":"Chong\u2010Dao Lee","orcid":"https://orcid.org/0000-0003-0305-084X"},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chong-Dao Lee","raw_affiliation_strings":["Department of Communication Engineering, I-Shou University, Kaohsiung City, Taiwan"],"raw_orcid":"https://orcid.org/0000-0003-0305-084X","affiliations":[{"raw_affiliation_string":"Department of Communication Engineering, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087982918","display_name":"Trieu\u2010Kien Truong","orcid":"https://orcid.org/0000-0002-5562-9282"},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Trieu-Kien Truong","raw_affiliation_strings":["Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111797215","display_name":"Yaotsu Chang","orcid":null},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yaotsu Chang","raw_affiliation_strings":["Department of Financial and Computational Mathematics, I-Shou University, Kaohsiung City, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Financial and Computational Mathematics, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053712642","display_name":"Yan\u2010Haw Chen","orcid":"https://orcid.org/0000-0002-2579-4754"},"institutions":[{"id":"https://openalex.org/I98298690","display_name":"I-Shou University","ror":"https://ror.org/04d7e4m76","country_code":"TW","type":"education","lineage":["https://openalex.org/I98298690"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Yan-Haw Chen","raw_affiliation_strings":["Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Engineering, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2708,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.63173391,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"66","issue":"11","first_page":"6835","last_page":"6854"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9987000226974487,"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":0.9980000257492065,"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":0.8025612831115723},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.6576676964759827},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.60096275806427},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5175592303276062},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.4622120261192322},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3878270983695984},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.30570098757743835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29587244987487793},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26322877407073975},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2308911383152008}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8025612831115723},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.6576676964759827},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.60096275806427},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5175592303276062},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.4622120261192322},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3878270983695984},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.30570098757743835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29587244987487793},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26322877407073975},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2308911383152008},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2020.2994905","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2994905","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/G1947512130","display_name":null,"funder_award_id":"MOST108-2221-E-214-002-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G7588288607","display_name":null,"funder_award_id":"MOST108-2115-M-214-003-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G7661898330","display_name":null,"funder_award_id":"MOST107-2221-E-214-005","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G8769456042","display_name":null,"funder_award_id":"MOST106-2115-M-214-004-MY2","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"}],"funders":[{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":52,"referenced_works":["https://openalex.org/W618390265","https://openalex.org/W1534925464","https://openalex.org/W1613651602","https://openalex.org/W1871606885","https://openalex.org/W1970481743","https://openalex.org/W1977467261","https://openalex.org/W1978364302","https://openalex.org/W1982892983","https://openalex.org/W2016833807","https://openalex.org/W2018063252","https://openalex.org/W2034436218","https://openalex.org/W2038305881","https://openalex.org/W2040075573","https://openalex.org/W2048129288","https://openalex.org/W2059372197","https://openalex.org/W2083774980","https://openalex.org/W2108793748","https://openalex.org/W2124222151","https://openalex.org/W2125384099","https://openalex.org/W2135061293","https://openalex.org/W2143563373","https://openalex.org/W2144253890","https://openalex.org/W2147806052","https://openalex.org/W2148575324","https://openalex.org/W2152357145","https://openalex.org/W2153936403","https://openalex.org/W2158558186","https://openalex.org/W2158631089","https://openalex.org/W2160686388","https://openalex.org/W2162442687","https://openalex.org/W2170626562","https://openalex.org/W2171613506","https://openalex.org/W2295756207","https://openalex.org/W2342204193","https://openalex.org/W2404610033","https://openalex.org/W2564300387","https://openalex.org/W2748929649","https://openalex.org/W2791548108","https://openalex.org/W2898024343","https://openalex.org/W2908383142","https://openalex.org/W2963288536","https://openalex.org/W2963871335","https://openalex.org/W2963911258","https://openalex.org/W2972261094","https://openalex.org/W2990034516","https://openalex.org/W3119473442","https://openalex.org/W3129170862","https://openalex.org/W3216147140","https://openalex.org/W4239889878","https://openalex.org/W6636515226","https://openalex.org/W6645048466","https://openalex.org/W6788737937"],"related_works":["https://openalex.org/W3017203753","https://openalex.org/W4205451769","https://openalex.org/W2385322349","https://openalex.org/W2029144766","https://openalex.org/W2348545647","https://openalex.org/W2052976169","https://openalex.org/W2983681086","https://openalex.org/W2369600518","https://openalex.org/W2089275957","https://openalex.org/W2165241191"],"abstract_inverted_index":{"It":[0,115],"is":[1,27,51,66,96,101,107],"well-known":[2],"that":[3,71],"the":[4,17,43,57,82,123,134,138,152,156,179,182,209,213],"decoding":[5,215],"of":[6,32,46,137,174,194,221],"algebraic":[7,214],"codes":[8,176],"with":[9,208],"error":[10,33],"locators":[11,58,69,77,224],"have":[12],"been":[13,37],"extensively":[14],"conceived":[15],"in":[16,70,125,129,133,206],"literature":[18],"over":[19],"a":[20,75,90,97,111,126,171,186,191,218],"half":[21],"century.":[22],"The":[23,49,64,162],"radical":[24,47,53,62,68,79,88,203,211,223],"locator,":[25,34],"which":[26,130],"an":[28],"\u03c9":[29],"th":[30],"root":[31],"has":[35],"recently":[36],"discovered.":[38],"This":[39],"paper":[40],"focuses":[41],"on":[42,86],"two":[44],"classes":[45],"locators.":[48,63,80,204],"first":[50],"complete":[52,87,210],"locators,":[54,89,212],"where":[55],"all":[56],"are":[59,73,141,185,198],"assigned":[60],"to":[61,109,122,143,159,169,189,200,229],"second":[65],"partial":[67,202,222],"there":[72],"only":[74],"few":[76],"being":[78],"In":[81,103,178],"former":[83],"case":[84,158],"based":[85],"new":[91],"square":[92,113],"matrix":[93,106,124,140,163],"whose":[94],"determinant":[95],"univariate":[98,157],"radical-locator":[99],"polynomial":[100],"proposed.":[102],"particular,":[104],"this":[105,148],"modified":[108],"allow":[110],"large":[112,172],"matrix.":[114],"can":[116],"be":[117],"transformed":[118],"by":[119],"Gaussian":[120],"elimination":[121],"row-echelon":[127],"form":[128],"zeros":[131],"appearing":[132],"diagonal":[135],"entries":[136],"current":[139],"able":[142],"determine":[144],"errors":[145],"implicitly.":[146],"Furthermore,":[147],"work":[149],"further":[150],"extends":[151],"previous":[153],"results":[154],"from":[155],"multivariate":[160],"cases.":[161],"methods":[164,216],"found":[165],"herein":[166],"enable":[167],"one":[168],"decode":[170],"class":[173],"cyclic":[175,231],"efficiently.":[177],"latter":[180],"case,":[181],"cyclotomic":[183],"cosets":[184],"practical":[187],"approach":[188],"select":[190],"small":[192],"subset":[193],"positive":[195],"integers.":[196],"They":[197],"employed":[199],"develop":[201],"Finally,":[205],"contrast":[207],"make":[217],"natural":[219],"use":[220],"more":[225],"widely":[226],"and":[227],"flexibly":[228],"arbitrary":[230],"codes.":[232]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
