{"id":"https://openalex.org/W3009999666","doi":"https://doi.org/10.1109/tit.2020.2977917","title":"Recursive Projection-Aggregation Decoding of Reed-Muller Codes","display_name":"Recursive Projection-Aggregation Decoding of Reed-Muller Codes","publication_year":2020,"publication_date":"2020-03-03","ids":{"openalex":"https://openalex.org/W3009999666","doi":"https://doi.org/10.1109/tit.2020.2977917","mag":"3009999666"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2977917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2977917","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":true,"oa_status":"green","oa_url":"https://infoscience.epfl.ch/handle/20.500.14299/170490","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100725244","display_name":"Min Ye","orcid":"https://orcid.org/0000-0003-1351-8880"},"institutions":[{"id":"https://openalex.org/I4210114105","display_name":"Tsinghua\u2013Berkeley Shenzhen Institute","ror":"https://ror.org/02hhwwz98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210114105","https://openalex.org/I95457486","https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Min Ye","raw_affiliation_strings":["Data Science and Information Technology Research Center, Tsinghua\u2013Berkeley Shenzhen Institute, Shenzhen, China"],"affiliations":[{"raw_affiliation_string":"Data Science and Information Technology Research Center, Tsinghua\u2013Berkeley Shenzhen Institute, Shenzhen, China","institution_ids":["https://openalex.org/I4210114105"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5055776312","display_name":"Emmanuel Abb\u00e9","orcid":"https://orcid.org/0000-0002-1831-656X"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]},{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH","US"],"is_corresponding":false,"raw_author_name":"Emmanuel Abbe","raw_affiliation_strings":["Program in Applied and Computational Mathematics, Princeton University, Princeton, USA","School of Computer and Communication Sciences, Mathematics Institute, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"Program in Applied and Computational Mathematics, Princeton University, Princeton, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"School of Computer and Communication Sciences, Mathematics Institute, \u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne (EPFL), Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100725244"],"corresponding_institution_ids":["https://openalex.org/I4210114105"],"apc_list":null,"apc_paid":null,"fwci":6.7838,"has_fulltext":false,"cited_by_count":74,"citation_normalized_percentile":{"value":0.97050925,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"66","issue":"8","first_page":"4948","last_page":"4965"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":1.0,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9990000128746033,"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/T12029","display_name":"DNA and Biological Computing","score":0.998199999332428,"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/decoding-methods","display_name":"Decoding methods","score":0.7876654267311096},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6493999361991882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5681787729263306},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5667052268981934},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.5279844403266907},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.5149548649787903},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5034837126731873},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.499173641204834},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.4930422008037567},{"id":"https://openalex.org/keywords/additive-white-gaussian-noise","display_name":"Additive white Gaussian noise","score":0.4412786662578583},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.41584882140159607},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.39626801013946533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.34589695930480957},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2622426748275757},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.11190417408943176},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1091805100440979}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7876654267311096},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6493999361991882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5681787729263306},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5667052268981934},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.5279844403266907},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.5149548649787903},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5034837126731873},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.499173641204834},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.4930422008037567},{"id":"https://openalex.org/C169334058","wikidata":"https://www.wikidata.org/wiki/Q353292","display_name":"Additive white Gaussian noise","level":3,"score":0.4412786662578583},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.41584882140159607},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.39626801013946533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.34589695930480957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2622426748275757},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.11190417408943176},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1091805100440979},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2020.2977917","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2977917","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"},{"id":"pmh:oai:infoscience.epfl.ch:278966","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/170490","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:278966","is_oa":true,"landing_page_url":"https://infoscience.epfl.ch/handle/20.500.14299/170490","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"WoS","raw_type":"research article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","score":0.4000000059604645,"display_name":"Peace, Justice and strong institutions"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1545614041","https://openalex.org/W1606480398","https://openalex.org/W2023355697","https://openalex.org/W2025948462","https://openalex.org/W2071763320","https://openalex.org/W2103524940","https://openalex.org/W2106045225","https://openalex.org/W2106864314","https://openalex.org/W2112446888","https://openalex.org/W2113237846","https://openalex.org/W2121417875","https://openalex.org/W2121498709","https://openalex.org/W2127074672","https://openalex.org/W2149250337","https://openalex.org/W2150498905","https://openalex.org/W2230831824","https://openalex.org/W2276299490","https://openalex.org/W2284321898","https://openalex.org/W2589095445","https://openalex.org/W2591190829","https://openalex.org/W2964126297","https://openalex.org/W2964292940","https://openalex.org/W2964317445","https://openalex.org/W2971934663","https://openalex.org/W2976297103","https://openalex.org/W3001795748","https://openalex.org/W3037718443","https://openalex.org/W3098807857"],"related_works":["https://openalex.org/W2161284257","https://openalex.org/W1877343031","https://openalex.org/W4210934707","https://openalex.org/W3045580795","https://openalex.org/W4366985329","https://openalex.org/W2037339745","https://openalex.org/W4298273170","https://openalex.org/W2952574710","https://openalex.org/W1574417069","https://openalex.org/W1980389767"],"abstract_inverted_index":{"We":[0,46,55],"propose":[1],"a":[2,75],"new":[3,96,115,136],"class":[4],"of":[5,50,78,113,129],"efficient":[6],"decoding":[7,29],"algorithms":[8,18,52],"for":[9,59,74,103,117,140],"Reed-Muller":[10],"(RM)":[11],"codes":[12,32,105,119],"over":[13],"binary-input":[14],"memoryless":[15],"channels.":[16],"The":[17,111],"are":[19,34],"based":[20],"on":[21,25],"projecting":[22],"the":[23,30,40,51,67,95,99,108,114,130,135],"code":[24,69,79,88,92],"its":[26],"cosets,":[27],"recursively":[28],"projected":[31],"(which":[33],"lower-order":[35],"RM":[36,118],"codes),":[37],"and":[38,62,90],"aggregating":[39],"reconstructions":[41],"(e.g.,":[42],"using":[43,53],"majority":[44],"votes).":[45],"further":[47],"provide":[48],"extensions":[49],"list-decoding.":[54],"run":[56],"our":[57],"algorithm":[58,97,116],"AWGN":[60],"channels":[61],"Binary":[63],"Symmetric":[64],"Channels":[65],"at":[66],"short":[68],"length":[70],"(\u2264":[71],"1024)":[72],"regime":[73],"wide":[76],"range":[77],"rates.":[80],"Simulation":[81],"results":[82],"show":[83],"that":[84,128],"in":[85,120,124],"both":[86],"low":[87],"rate":[89,93],"high":[91],"regimes,":[94],"outperforms":[98],"widely":[100],"used":[101],"decoder":[102,137],"polar":[104],"(SCL+CRC)":[106],"with":[107],"same":[109],"parameters.":[110],"performance":[112],"those":[121],"regimes":[122],"is":[123],"fact":[125],"close":[126],"to":[127],"maximal":[131],"likelihood":[132],"decoder.":[133],"Finally,":[134],"naturally":[138],"allows":[139],"parallel":[141],"implementations.":[142]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":15},{"year":2024,"cited_by_count":11},{"year":2023,"cited_by_count":11},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":20},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
