{"id":"https://openalex.org/W4405908531","doi":"https://doi.org/10.1109/itw61385.2024.10806979","title":"A New Early-Termination Method for the Berlekamp-Massey Algorithm","display_name":"A New Early-Termination Method for the Berlekamp-Massey Algorithm","publication_year":2024,"publication_date":"2024-11-24","ids":{"openalex":"https://openalex.org/W4405908531","doi":"https://doi.org/10.1109/itw61385.2024.10806979"},"language":"en","primary_location":{"id":"doi:10.1109/itw61385.2024.10806979","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw61385.2024.10806979","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5100408343","display_name":"Chao Chen","orcid":"https://orcid.org/0000-0002-2855-7500"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chao Chen","raw_affiliation_strings":["Xidian University,State Key Laboratory of ISN,Xi'an,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xidian University,State Key Laboratory of ISN,Xi'an,China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058574115","display_name":"Nianqi Tang","orcid":"https://orcid.org/0000-0001-8460-3527"},"institutions":[{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Nianqi Tang","raw_affiliation_strings":["Shenzhen Institute for Advanced Study, UESTC,Shenzhen,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute for Advanced Study, UESTC,Shenzhen,China","institution_ids":["https://openalex.org/I4210145761"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023807587","display_name":"Yunghsiang S. Han","orcid":"https://orcid.org/0000-0002-3592-1681"},"institutions":[{"id":"https://openalex.org/I4210145761","display_name":"Shenzhen Institutes of Advanced Technology","ror":"https://ror.org/04gh4er46","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210145761"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yunghsiang S. Han","raw_affiliation_strings":["Shenzhen Institute for Advanced Study, UESTC,Shenzhen,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Shenzhen Institute for Advanced Study, UESTC,Shenzhen,China","institution_ids":["https://openalex.org/I4210145761"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063124926","display_name":"Baoming Bai","orcid":"https://orcid.org/0000-0002-6161-5493"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Baoming Bai","raw_affiliation_strings":["Xidian University,State Key Laboratory of ISN,Xi'an,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Xidian University,State Key Laboratory of ISN,Xi'an,China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085879551","display_name":"J. J. Zhang","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jiefei Zhang","raw_affiliation_strings":["The 54th Research Institute, CETC,Shijiazhuang,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The 54th Research Institute, CETC,Shijiazhuang,China","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5003807314","display_name":"Wenhao Zhou","orcid":"https://orcid.org/0000-0001-8956-7238"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenhao Zhou","raw_affiliation_strings":["The 54th Research Institute, CETC,Shijiazhuang,China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The 54th Research Institute, CETC,Shijiazhuang,China","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3629,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.8220917,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"396","last_page":"400"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.984499990940094,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.984499990940094,"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"}},{"id":"https://openalex.org/T10739","display_name":"Electromagnetic Scattering and Analysis","score":0.9817000031471252,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11416","display_name":"Numerical methods for differential equations","score":0.9067999720573425,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6689978837966919},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5693004131317139}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6689978837966919},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5693004131317139}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw61385.2024.10806979","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw61385.2024.10806979","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1514022891","https://openalex.org/W1992183350","https://openalex.org/W2042117344","https://openalex.org/W2043508852","https://openalex.org/W2075850503","https://openalex.org/W2082380954","https://openalex.org/W2137577208","https://openalex.org/W4210992409","https://openalex.org/W4255297036"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"The":[0,133],"Berlekamp-Massey":[1,123,170],"algorithm":[2,6,36,102,116],"is":[3,126,159],"a":[4,63,75,114,130],"primary":[5],"for":[7,66,169],"decoding":[8],"Reed-Solomon":[9],"codes.":[10],"As":[11,111],"an":[12,112],"inherent":[13],"property":[14],"of":[15,28,43,49,55,95,145,154],"the":[16,18,24,35,41,47,52,56,67,84,93,101,108,142,152,155,161,166],"algorithm,":[17,125],"early":[19,68,167],"termination":[20,168],"can":[21,37,79,99],"effectively":[22],"reduce":[23],"latency":[25],"and":[26,140,148],"power":[27],"decoding.":[29],"It":[30],"has":[31,141],"been":[32,90],"known":[33],"that":[34,78,164],"be":[38],"terminated":[39],"at":[40,92,103],"completion":[42,94],"the$(t+e)$-th":[44],"iteration":[45],"(where$e$is":[46],"number":[48],"errors":[50],"and$t$is":[51],"error-correction":[53],"capability":[54],"code).":[57],"In":[58],"this":[59,104,158],"paper,":[60],"we":[61,73,98],"explore":[62],"new":[64],"mechanism":[65],"termination.":[69],"Specifically,":[70],"assuming$e\\leq":[71],"t$,":[72],"present":[74],"detection":[76],"method":[77],"identify":[80],"the$2e$-th":[81,96],"iteration.":[82],"Since":[83],"error":[85],"locator":[86],"polynomial":[87],"will":[88],"have":[89],"found":[91],"iteration,":[97],"terminate":[100],"point":[105],"based":[106],"on":[107],"proposed":[109],"method.":[110],"application,":[113],"hardware-friendly":[115],"variant,":[117],"dubbed":[118],"Reformulated":[119],"Early-Terminating":[120],"Parallel":[121],"Inversionless":[122],"(RETPIBM)":[124],"presented,":[127],"which":[128],"yields":[129],"systolic":[131],"architecture.":[132],"derivative":[134],"architecture":[135,163],"consists":[136],"of$3t+1$processing":[137],"elements":[138],"(PEs)":[139],"critical":[143],"path":[144],"one":[146,149],"multiplier":[147],"adder.":[150],"To":[151],"best":[153],"authors'":[156],"knowledge,":[157],"literally":[160],"first":[162],"achieves":[165],"algorithm.":[171]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}