{"id":"https://openalex.org/W2586812566","doi":"https://doi.org/10.1177/1550147716683406","title":"A hybrid decoding of Reed\u2013Muller codes","display_name":"A hybrid decoding of Reed\u2013Muller codes","publication_year":2017,"publication_date":"2017-02-01","ids":{"openalex":"https://openalex.org/W2586812566","doi":"https://doi.org/10.1177/1550147716683406","mag":"2586812566"},"language":"en","primary_location":{"id":"doi:10.1177/1550147716683406","is_oa":true,"landing_page_url":"https://doi.org/10.1177/1550147716683406","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/1550147716683406","source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://journals.sagepub.com/doi/pdf/10.1177/1550147716683406","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100415954","display_name":"Shuang Li","orcid":"https://orcid.org/0000-0003-1910-7812"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Shuang Li","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Gyeongsang National University, Jinju, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Gyeongsang National University, Jinju, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101902327","display_name":"Shicheng Zhang","orcid":"https://orcid.org/0009-0004-6043-0851"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Shicheng Zhang","raw_affiliation_strings":["Department of Electrical and Electronic Engineering, Gyeongsang National University, Jinju, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Electronic Engineering, Gyeongsang National University, Jinju, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101652291","display_name":"Zhenxing Chen","orcid":"https://orcid.org/0000-0001-8867-1578"},"institutions":[{"id":"https://openalex.org/I3124059619","display_name":"China University of Geosciences","ror":"https://ror.org/04gcegc37","country_code":"CN","type":"education","lineage":["https://openalex.org/I3124059619"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhenxing Chen","raw_affiliation_strings":["School of Mechanical and Electronic Information, China University of Geosciences, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"School of Mechanical and Electronic Information, China University of Geosciences, Wuhan, China","institution_ids":["https://openalex.org/I3124059619"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031346843","display_name":"Seog Geun Kang","orcid":"https://orcid.org/0000-0002-5329-3551"},"institutions":[{"id":"https://openalex.org/I189442560","display_name":"Gyeongsang National University","ror":"https://ror.org/00saywf64","country_code":"KR","type":"education","lineage":["https://openalex.org/I189442560"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Seog Geun Kang","raw_affiliation_strings":["Department of Semiconductor Engineering and Engineering Research Institute (ERI), Gyeongsang National University, Jinju, Republic of Korea"],"affiliations":[{"raw_affiliation_string":"Department of Semiconductor Engineering and Engineering Research Institute (ERI), Gyeongsang National University, Jinju, Republic of Korea","institution_ids":["https://openalex.org/I189442560"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5031346843"],"corresponding_institution_ids":["https://openalex.org/I189442560"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":{"value":2200,"currency":"USD","value_usd":2200},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01226361,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":"2","first_page":"155014771668340","last_page":"155014771668340"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.994700014591217,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.8034780025482178},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7188478708267212},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6776537895202637},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.6446483731269836},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5501464605331421},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.49524155259132385},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.4480036199092865},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4346829950809479},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.3199717700481415},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2564435601234436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17248332500457764}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.8034780025482178},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7188478708267212},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6776537895202637},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.6446483731269836},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5501464605331421},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.49524155259132385},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.4480036199092865},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4346829950809479},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.3199717700481415},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2564435601234436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17248332500457764},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1177/1550147716683406","is_oa":true,"landing_page_url":"https://doi.org/10.1177/1550147716683406","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/1550147716683406","source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:sae:intdis:v:13:y:2017:i:2:p:1550147716683406","is_oa":false,"landing_page_url":"https://journals.sagepub.com/doi/10.1177/1550147716683406","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"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":"article"},{"id":"pmh:oai:doaj.org/article:d7d13c9853d540a3adf6cddac5c4e759","is_oa":true,"landing_page_url":"https://doaj.org/article/d7d13c9853d540a3adf6cddac5c4e759","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"International Journal of Distributed Sensor Networks, Vol 13 (2017)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1177/1550147716683406","is_oa":true,"landing_page_url":"https://doi.org/10.1177/1550147716683406","pdf_url":"https://journals.sagepub.com/doi/pdf/10.1177/1550147716683406","source":{"id":"https://openalex.org/S64417657","display_name":"International Journal of Distributed Sensor Networks","issn_l":"1550-1329","issn":["1550-1329","1550-1477"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Distributed Sensor Networks","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2586812566.pdf","grobid_xml":"https://content.openalex.org/works/W2586812566.grobid-xml"},"referenced_works_count":10,"referenced_works":["https://openalex.org/W1989008275","https://openalex.org/W2040075573","https://openalex.org/W2044244685","https://openalex.org/W2065465262","https://openalex.org/W2103524940","https://openalex.org/W2118880836","https://openalex.org/W2121498709","https://openalex.org/W2121727435","https://openalex.org/W2142901448","https://openalex.org/W2170716519"],"related_works":["https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W2370284973","https://openalex.org/W2028976748","https://openalex.org/W2050784748","https://openalex.org/W2383267581","https://openalex.org/W2102627024","https://openalex.org/W2182594114","https://openalex.org/W2127999627","https://openalex.org/W2010879611"],"abstract_inverted_index":{"In":[0,73],"this":[1],"article,":[2],"a":[3,53],"hybrid":[4,57],"decoding":[5,58],"algorithm":[6,18,34,59,77],"for":[7],"Reed\u2013Muller":[8],"codes":[9],"is":[10,40],"presented.":[11],"Unlike":[12],"the":[13,16,45,55,61,70,75,83],"conventional":[14,71,84],"algorithm,":[15],"presented":[17,56],"ends":[19],"recursive":[20],"decomposition":[21],"when":[22],"[Formula:":[23,27],"see":[24,28],"text]":[25,29],"and":[26],"appeared.":[30],"A":[31],"simplified":[32],"maximum-likelihood":[33],"based":[35],"on":[36],"fast":[37],"Hadamard":[38],"transform":[39],"also":[41],"exploited":[42],"to":[43],"decode":[44],"systematic":[46],"code":[47],"through":[48],"its":[49],"special":[50],"structure.":[51],"As":[52],"result,":[54],"reduces":[60],"number":[62],"of":[63],"floating-point":[64],"multiplications":[65],"significantly":[66],"as":[67],"compared":[68],"with":[69],"algorithms.":[72],"addition,":[74],"new":[76],"has":[78],"better":[79],"error":[80],"performance":[81],"than":[82],"ones.":[85]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}