{"id":"https://openalex.org/W2928370783","doi":"https://doi.org/10.1109/itw.2003.1216684","title":"Simple MAP decoding of first order Reed-Muller and Hamming codes","display_name":"Simple MAP decoding of first order Reed-Muller and Hamming codes","publication_year":2004,"publication_date":"2004-03-02","ids":{"openalex":"https://openalex.org/W2928370783","doi":"https://doi.org/10.1109/itw.2003.1216684","mag":"2928370783"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2003.1216684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2003.1216684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674)","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/A5088515682","display_name":"Alexei Ashikhmin","orcid":"https://orcid.org/0000-0002-7016-1614"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"A. Ashikhmin","raw_affiliation_strings":["Bell Laboratories, Murray Hill, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Laboratories, Murray Hill, NJ, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044662173","display_name":"Simon Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"S. Litsyn","raw_affiliation_strings":["Tel-Aviv University, Ramat-Aviv, Israel"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Tel-Aviv University, Ramat-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.3878,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.86518248,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"14","issue":null,"first_page":"18","last_page":"21"},"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9983999729156494,"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":0.9975000023841858,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7571108937263489},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7553660273551941},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.7071160078048706},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.618338942527771},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5917969346046448},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.5798972249031067},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5014908313751221},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.49903035163879395},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.49467870593070984},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.483124703168869},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.45649659633636475},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.4563700258731842},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4402958154678345},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.43414849042892456},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.4191749095916748},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.415067195892334},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37921786308288574},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.31541675329208374}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7571108937263489},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7553660273551941},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.7071160078048706},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.618338942527771},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5917969346046448},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.5798972249031067},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5014908313751221},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.49903035163879395},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.49467870593070984},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.483124703168869},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.45649659633636475},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.4563700258731842},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4402958154678345},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.43414849042892456},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.4191749095916748},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.415067195892334},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37921786308288574},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.31541675329208374},{"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},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2003.1216684","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2003.1216684","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings 2003 IEEE Information Theory Workshop (Cat. No.03EX674)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1562979145","https://openalex.org/W2007872651","https://openalex.org/W2016865622","https://openalex.org/W2045407304","https://openalex.org/W2095978440","https://openalex.org/W2096070773","https://openalex.org/W2102799970","https://openalex.org/W2105448426","https://openalex.org/W2115198523","https://openalex.org/W2149783027","https://openalex.org/W2156826724","https://openalex.org/W2167657277","https://openalex.org/W2170125046","https://openalex.org/W4245516769"],"related_works":["https://openalex.org/W2247418595","https://openalex.org/W2963132315","https://openalex.org/W1975709480","https://openalex.org/W4298280412","https://openalex.org/W2625239423","https://openalex.org/W2133789648","https://openalex.org/W4300940772","https://openalex.org/W4234444615","https://openalex.org/W4402525684","https://openalex.org/W2152162311"],"abstract_inverted_index":{"We":[0],"present":[1],"new":[2],"MAP":[3],"decoding":[4],"algorithms":[5,15],"for":[6],"first":[7],"order":[8],"Reed-Muller":[9],"and":[10],"Hamming":[11],"codes.":[12],"The":[13],"proposed":[14],"have":[16],"complexities":[17],"proportional":[18],"to":[19],"n/spl":[20],"times/log/sub":[21],"2/(n),":[22],"where":[23],"n":[24],"is":[25],"the":[26],"code":[27],"length.":[28]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}