{"id":"https://openalex.org/W3217324313","doi":"https://doi.org/10.1109/itw48936.2021.9611491","title":"Local Correctabilities and Dual Codes of Symmetric Reed\u2013Muller Codes","display_name":"Local Correctabilities and Dual Codes of Symmetric Reed\u2013Muller Codes","publication_year":2021,"publication_date":"2021-10-17","ids":{"openalex":"https://openalex.org/W3217324313","doi":"https://doi.org/10.1109/itw48936.2021.9611491","mag":"3217324313"},"language":"en","primary_location":{"id":"doi:10.1109/itw48936.2021.9611491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-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/A5101992481","display_name":"Wei Yan","orcid":"https://orcid.org/0000-0001-8119-1539"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Wei Yan","raw_affiliation_strings":["School of Cyberspace Science and Technology, University of Science and Technology of China (USTC), Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Cyberspace Science and Technology, University of Science and Technology of China (USTC), Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054764523","display_name":"Sian-Jheng Lin","orcid":"https://orcid.org/0000-0002-6309-2876"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Sian-Jheng Lin","raw_affiliation_strings":["School of Cyberspace Science and Technology, University of Science and Technology of China (USTC), Hefei, China"],"affiliations":[{"raw_affiliation_string":"School of Cyberspace Science and Technology, University of Science and Technology of China (USTC), Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101992481"],"corresponding_institution_ids":["https://openalex.org/I126520041"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18298581,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9968000054359436,"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/T12029","display_name":"DNA and Biological Computing","score":0.9966999888420105,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.907471776008606},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6776264905929565},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5283313989639282},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.4926379323005676},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.478233277797699},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.46540695428848267},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43350034952163696},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.4211607277393341},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4194633364677429},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.41208508610725403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39391380548477173},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.18997222185134888},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.1658603847026825},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.06072741746902466}],"concepts":[{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.907471776008606},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6776264905929565},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5283313989639282},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.4926379323005676},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.478233277797699},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.46540695428848267},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43350034952163696},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.4211607277393341},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4194633364677429},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.41208508610725403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39391380548477173},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.18997222185134888},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.1658603847026825},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.06072741746902466},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw48936.2021.9611491","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611491","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.47999998927116394,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W2004229705","https://openalex.org/W2040009340","https://openalex.org/W2063994293","https://openalex.org/W2073236804","https://openalex.org/W2116167902","https://openalex.org/W2117571667","https://openalex.org/W2121417875","https://openalex.org/W2135858790","https://openalex.org/W2140885097","https://openalex.org/W2146453677","https://openalex.org/W2242452602","https://openalex.org/W2591083178","https://openalex.org/W3010736728","https://openalex.org/W3034718291"],"related_works":["https://openalex.org/W3088883112","https://openalex.org/W3021758908","https://openalex.org/W3085073875","https://openalex.org/W1798117689","https://openalex.org/W2041319252","https://openalex.org/W1976052006","https://openalex.org/W2293846540","https://openalex.org/W1675804769","https://openalex.org/W2131310741","https://openalex.org/W4250675451"],"abstract_inverted_index":{"Recently,":[0],"a":[1,24],"variant":[2],"of":[3,26,33],"the":[4,30],"Reed-Muller":[5,9,21,35],"family,":[6],"called":[7],"symmetric":[8,20,34],"codes,":[10],"was":[11],"proposed.":[12],"In":[13],"this":[14],"paper,":[15],"we":[16],"prove":[17],"that":[18],"multivariable":[19],"codes":[22,32,36],"form":[23],"class":[25],"locally-correctable":[27],"codes.":[28],"Then,":[29],"dual":[31],"are":[37],"given.":[38]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
