{"id":"https://openalex.org/W7128500621","doi":"https://doi.org/10.1109/tcomm.2026.3663516","title":"Weight Puncturing for Reed\u2013Muller Codes","display_name":"Weight Puncturing for Reed\u2013Muller Codes","publication_year":2026,"publication_date":"2026-01-01","ids":{"openalex":"https://openalex.org/W7128500621","doi":"https://doi.org/10.1109/tcomm.2026.3663516"},"language":null,"primary_location":{"id":"doi:10.1109/tcomm.2026.3663516","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2026.3663516","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/A5125578285","display_name":"Liping Li","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liping Li","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0001-9876-5324","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125513983","display_name":"Haisheng Qin","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Haisheng Qin","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0009-0007-0023-2556","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074164547","display_name":"Fang Tang Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang Chen","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0009-0004-0790-8844","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125518447","display_name":"Ling Liu","orcid":null},"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":"Ling Liu","raw_affiliation_strings":["Guangzhou Institute of Technology, Xidian University, Guangzhou, Guangdong, China"],"raw_orcid":"https://orcid.org/0009-0009-0954-6986","affiliations":[{"raw_affiliation_string":"Guangzhou Institute of Technology, Xidian University, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113018185","display_name":"Yuejun Wei","orcid":null},"institutions":[{"id":"https://openalex.org/I135905480","display_name":"Shanghai Polytechnic University","ror":"https://ror.org/02as5yg64","country_code":"CN","type":"education","lineage":["https://openalex.org/I135905480"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuejun Wei","raw_affiliation_strings":["Shanghai Polytechnic University, Shanghai, China"],"raw_orcid":"https://orcid.org/0009-0006-3942-5489","affiliations":[{"raw_affiliation_string":"Shanghai Polytechnic University, Shanghai, China","institution_ids":["https://openalex.org/I135905480"]}]},{"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, Xi’an, Shaanxi, China"],"raw_orcid":"https://orcid.org/0000-0002-6161-5493","affiliations":[{"raw_affiliation_string":"Xidian University, Xi’an, Shaanxi, China","institution_ids":["https://openalex.org/I149594827"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125500143","display_name":"Wei Wang","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wang","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016715620","display_name":"Y. D. Li","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yingsong Li","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0002-2450-6028","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5121657305","display_name":"Qiang Li","orcid":null},"institutions":[{"id":"https://openalex.org/I143868143","display_name":"Anhui University","ror":"https://ror.org/05th6yx34","country_code":"CN","type":"education","lineage":["https://openalex.org/I143868143"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiang Li","raw_affiliation_strings":["Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China"],"raw_orcid":"https://orcid.org/0000-0001-5883-4305","affiliations":[{"raw_affiliation_string":"Key Laboratory of Intelligent Computing and Signal Processing, Ministry of Education, Anhui University, Hefei, Anhui, China","institution_ids":["https://openalex.org/I143868143"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12250977,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"74","issue":null,"first_page":"5004","last_page":"5016"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.6628999710083008,"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"}},"topics":[{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.6628999710083008,"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":0.2295999974012375,"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/T11130","display_name":"Coding theory and cryptography","score":0.031700000166893005,"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/puncturing","display_name":"Puncturing","score":0.9922999739646912},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5835000276565552},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5727999806404114},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5164999961853027},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.498199999332428},{"id":"https://openalex.org/keywords/generator-matrix","display_name":"Generator matrix","score":0.4964999854564667},{"id":"https://openalex.org/keywords/transpose","display_name":"Transpose","score":0.45190000534057617},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.4189999997615814},{"id":"https://openalex.org/keywords/error-detection-and-correction","display_name":"Error detection and correction","score":0.39879998564720154}],"concepts":[{"id":"https://openalex.org/C2778808095","wikidata":"https://www.wikidata.org/wiki/Q3899825","display_name":"Puncturing","level":2,"score":0.9922999739646912},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5979999899864197},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5835000276565552},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5727999806404114},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5565999746322632},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5164999961853027},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.498199999332428},{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.4964999854564667},{"id":"https://openalex.org/C200106649","wikidata":"https://www.wikidata.org/wiki/Q223683","display_name":"Transpose","level":3,"score":0.45190000534057617},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.4189999997615814},{"id":"https://openalex.org/C103088060","wikidata":"https://www.wikidata.org/wiki/Q1062839","display_name":"Error detection and correction","level":2,"score":0.39879998564720154},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.3935000002384186},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.391400009393692},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38530001044273376},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3801000118255615},{"id":"https://openalex.org/C106487976","wikidata":"https://www.wikidata.org/wiki/Q685816","display_name":"Matrix (chemical analysis)","level":2,"score":0.37279999256134033},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.33899998664855957},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3093000054359436},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.30649998784065247},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3027999997138977},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.29429998993873596},{"id":"https://openalex.org/C202932441","wikidata":"https://www.wikidata.org/wiki/Q55611017","display_name":"Forward error correction","level":3,"score":0.2930000126361847},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2928999960422516},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.2921000123023987},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.2791999876499176},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.2653999924659729},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.26440000534057617},{"id":"https://openalex.org/C2776639698","wikidata":"https://www.wikidata.org/wiki/Q4927140","display_name":"Block Error Rate","level":3,"score":0.2614000141620636},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.2574999928474426},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.25619998574256897}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2026.3663516","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2026.3663516","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/G4289257960","display_name":null,"funder_award_id":"62471004","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,15],"order":[1],"to":[2,102,196],"achieve":[3],"rate-compatible":[4],"RM":[5,38,66,111,188],"codes,":[6],"two":[7],"most":[8],"effective":[9],"ways":[10],"are":[11,20,40,53,80,85],"puncturing":[12,18,28,51,90,135,145,151],"and":[13,96,149],"shortening.":[14],"this":[16],"paper,":[17],"schemes":[19,29,52,153],"studied.":[21],"Different":[22],"from":[23],"the":[24,34,62,76,81,104,120,131,143,167,175,193,198],"existing":[25,43],"spherical":[26],"puncturing,":[27],"which":[30],"do":[31],"no":[32],"change":[33],"Plotkin":[35],"structure":[36],"of":[37,58,61,65,71,110,156,187,192],"codes":[39,112],"proposed,":[41,86],"enabling":[42],"decoding":[44],"techniques":[45],"be":[46],"readily":[47],"accessible.":[48],"The":[49],"proposed":[50,144],"based":[54],"on":[55,107],"Hamming":[56,69],"weights":[57,70],"column":[59,72,77],"indices":[60,73],"generator":[63],"matrix":[64],"codes.":[67],"When":[68],"(also":[74],"determining":[75],"weights,":[78],"CW)":[79],"same,":[82],"different":[83,89],"strategies":[84,146],"producing":[87],"four":[88],"strategies,":[91],"called":[92],"CW-IV,":[93],"CW-LSB,":[94],"CW-MSB,":[95],"CW-MSB-Sym,":[97],"respectively.":[98],"Analysis":[99],"is":[100,136],"performed":[101],"show":[103,141],"union":[105],"bound":[106,162],"error":[108,158],"performance":[109,129,173,206],"with":[113],"puncturing.":[114],"Theoretically,":[115],"it":[116],"also":[117,164],"shows":[118,171],"that":[119,142,166],"punctured":[121],"first":[122,168],"1st-order":[123,169],"subcode":[124,170],"can":[125],"have":[126],"potentially":[127],"better":[128,172,204],"than":[130,174],"non-puncturing":[132,177],"case":[133],"if":[134],"properly":[137],"designed.":[138],"Simulation":[139],"results":[140,163],"outperform":[147],"random":[148],"quasi-uniform":[150],"(QUP)":[152],"in":[154],"terms":[155],"block":[157],"rate":[159],"(BLER).":[160],"Union":[161],"confirm":[165],"original":[176,194],"case.":[178],"This":[179],"fact":[180],"indicates":[181],"a":[182,203],"more":[183],"efficient":[184],"transmission":[185],"scheme":[186],"codes:":[189],"transmitting":[190],"part":[191],"codeword":[195],"increase":[197],"spectrum":[199],"efficiency":[200],"while":[201],"achieving":[202],"BLER":[205],"under":[207],"recursive":[208],"list":[209],"decoding.":[210]},"counts_by_year":[],"updated_date":"2026-02-26T06:29:33.603293","created_date":"2026-02-11T00:00:00"}