{"id":"https://openalex.org/W4286656050","doi":"https://doi.org/10.1109/tcomm.2022.3188837","title":"Step-by-Step Decoding of Binary Quasi-Reversible BCH Codes","display_name":"Step-by-Step Decoding of Binary Quasi-Reversible BCH Codes","publication_year":2022,"publication_date":"2022-07-06","ids":{"openalex":"https://openalex.org/W4286656050","doi":"https://doi.org/10.1109/tcomm.2022.3188837"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2022.3188837","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2022.3188837","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/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":true,"raw_author_name":"Chong-Dao Lee","raw_affiliation_strings":["Department of Intelligent Network Technology, I-Shou University, Kaohsiung City, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Intelligent Network Technology, I-Shou University, Kaohsiung City, Taiwan","institution_ids":["https://openalex.org/I98298690"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5088089404"],"corresponding_institution_ids":["https://openalex.org/I98298690"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07894554,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"70","issue":"9","first_page":"5760","last_page":"5770"},"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9955999851226807,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9898999929428101,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/bch-code","display_name":"BCH code","score":0.9522346258163452},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7408071756362915},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5846171975135803},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4926837086677551},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47869184613227844},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4726116955280304},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46415242552757263},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43816834688186646},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3984384536743164},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3851551413536072},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.3263961672782898},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.306820273399353},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2817399501800537}],"concepts":[{"id":"https://openalex.org/C42276685","wikidata":"https://www.wikidata.org/wiki/Q795705","display_name":"BCH code","level":3,"score":0.9522346258163452},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7408071756362915},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5846171975135803},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4926837086677551},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47869184613227844},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4726116955280304},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46415242552757263},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43816834688186646},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3984384536743164},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3851551413536072},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.3263961672782898},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.306820273399353},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2817399501800537},{"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/tcomm.2022.3188837","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2022.3188837","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8435354541","display_name":null,"funder_award_id":"MOST110-2221-E-214-010","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1537824340","https://openalex.org/W1593683169","https://openalex.org/W1601517519","https://openalex.org/W1606480398","https://openalex.org/W1978364302","https://openalex.org/W1984752748","https://openalex.org/W1993747130","https://openalex.org/W1994883201","https://openalex.org/W2009939510","https://openalex.org/W2010238164","https://openalex.org/W2021169612","https://openalex.org/W2027042664","https://openalex.org/W2040075573","https://openalex.org/W2058380979","https://openalex.org/W2059372197","https://openalex.org/W2065190722","https://openalex.org/W2066795426","https://openalex.org/W2083774980","https://openalex.org/W2091323160","https://openalex.org/W2093921361","https://openalex.org/W2115922992","https://openalex.org/W2116892413","https://openalex.org/W2121081893","https://openalex.org/W2122281830","https://openalex.org/W2131251676","https://openalex.org/W2138472804","https://openalex.org/W2144253890","https://openalex.org/W2148575324","https://openalex.org/W2158631089","https://openalex.org/W2162456729","https://openalex.org/W2477078759","https://openalex.org/W2491234617","https://openalex.org/W2898024343","https://openalex.org/W2914162544","https://openalex.org/W2963726862","https://openalex.org/W2990034516","https://openalex.org/W3017380014","https://openalex.org/W3025694015","https://openalex.org/W3106801067","https://openalex.org/W3131474798","https://openalex.org/W3136293366","https://openalex.org/W3216147140","https://openalex.org/W4212825216","https://openalex.org/W4234572373","https://openalex.org/W4255713959","https://openalex.org/W6721610043","https://openalex.org/W6804434002"],"related_works":["https://openalex.org/W1995527419","https://openalex.org/W2385322349","https://openalex.org/W2370284973","https://openalex.org/W2357077655","https://openalex.org/W2369600518","https://openalex.org/W4242597560","https://openalex.org/W2129423808","https://openalex.org/W2351361564","https://openalex.org/W1976834495","https://openalex.org/W2521769401"],"abstract_inverted_index":{"Binary":[0],"quasi-reversible":[1,43,53,167],"BCH":[2,50,54,168,181],"codes":[3,61,169,182],"whose":[4],"defining":[5],"set":[6],"contains":[7],"consecutive":[8],"elements":[9],"from":[10],"negative":[11],"to":[12,23,45,76,89,171],"positive":[13],"integers":[14],"have":[15],"received":[16,72],"considerable":[17],"attention":[18],"in":[19,106,122,152,161],"recent":[20],"years":[21],"due":[22],"their":[24],"efficient":[25],"decoding":[26,58,92,163],"suitable":[27],"for":[28],"a":[29,71,107,128,141],"wide":[30],"range":[31],"of":[32,39,49,59,70,81,114,119,164],"applications.":[33],"This":[34],"paper":[35],"combines":[36],"the":[37,40,67,79,91,111,115,137,143,162,173,179],"concept":[38],"weight":[41,68],"and":[42,146,158],"structures":[44],"introduce":[46],"two":[47],"subclasses":[48],"codes:":[51],"odd-like/even-like":[52,166],"codes.":[55],"The":[56],"step-by-step":[57],"these":[60],"is":[62,74,83,125,134],"developed":[63],"as":[64],"follows:":[65],"First,":[66],"evaluation":[69],"polynomial":[73,133],"able":[75],"judge":[77],"whether":[78],"number":[80],"errors":[82],"odd":[84],"or":[85],"even,":[86],"which":[87,101],"helps":[88],"simplify":[90],"processes.":[93],"Second,":[94],"based":[95],"on":[96],"Chi\u00f2\u2019s":[97],"pivotal":[98],"condensation":[99],"process":[100],"can":[102],"be":[103],"easily":[104],"implemented":[105],"parallel":[108],"computing":[109],"architecture,":[110],"determinant":[112],"calculation":[113],"band":[116],"matrix":[117,121],"instead":[118],"Peterson\u2019s":[120],"column-echelon":[123],"form":[124],"faster.":[126],"Third,":[127],"newly":[129],"proposed":[130],"non-monic":[131],"error-locator":[132],"sparser":[135],"than":[136],"conventional":[138],"ones.":[139],"As":[140],"consequence,":[142],"theoretical":[144],"analysis":[145],"experimental":[147],"results":[148],"validate":[149],"potential":[150],"benefits":[151],"requiring":[153],"fewer":[154],"finite":[155],"field":[156],"additions":[157],"multiplications":[159],"used":[160],"binary":[165],"up":[170],"half":[172],"minimum":[174],"distance":[175],"when":[176],"compared":[177],"with":[178,183],"narrow-sense":[180],"small":[184],"error-correcting":[185],"capability.":[186]},"counts_by_year":[],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}