{"id":"https://openalex.org/W2164541320","doi":"https://doi.org/10.1109/tit.1980.1056174","title":"Universally optimum block codes and convolutional codes with maximum likelihood decoding","display_name":"Universally optimum block codes and convolutional codes with maximum likelihood decoding","publication_year":1980,"publication_date":"1980-05-01","ids":{"openalex":"https://openalex.org/W2164541320","doi":"https://doi.org/10.1109/tit.1980.1056174","mag":"2164541320"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1980.1056174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056174","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103259573","display_name":"Takeshi Hashimoto","orcid":"https://orcid.org/0000-0003-2668-1759"},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"T. Hashimoto","raw_affiliation_strings":["Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5110461849","display_name":"S. Arimoto","orcid":null},"institutions":[{"id":"https://openalex.org/I98285908","display_name":"Osaka University","ror":"https://ror.org/035t8zc32","country_code":"JP","type":"education","lineage":["https://openalex.org/I98285908"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"S. Arimoto","raw_affiliation_strings":["Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Engineering Science, Osaka University, Toyonaka, Osaka, Japan","institution_ids":["https://openalex.org/I98285908"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5103259573"],"corresponding_institution_ids":["https://openalex.org/I98285908"],"apc_list":null,"apc_paid":null,"fwci":1.0771,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.80030736,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"26","issue":"3","first_page":"272","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998000264167786,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9991999864578247,"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/T12162","display_name":"Cellular Automata and Applications","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/block-code","display_name":"Block code","score":0.7832258939743042},{"id":"https://openalex.org/keywords/convolutional-code","display_name":"Convolutional code","score":0.7766692638397217},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6462546586990356},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.6382499933242798},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6349023580551147},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.6075953841209412},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.5986536741256714},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.5849198698997498},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5154391527175903},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4813852608203888},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4547204375267029},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43227988481521606},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3596816956996918}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.7832258939743042},{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.7766692638397217},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6462546586990356},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.6382499933242798},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6349023580551147},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.6075953841209412},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.5986536741256714},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.5849198698997498},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5154391527175903},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4813852608203888},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4547204375267029},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43227988481521606},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3596816956996918},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1980.1056174","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1980.1056174","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"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4399999976158142,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1534441543","https://openalex.org/W1549664537","https://openalex.org/W1983954608","https://openalex.org/W1989008275","https://openalex.org/W1991133427","https://openalex.org/W2057756383"],"related_works":["https://openalex.org/W2105454578","https://openalex.org/W1848770611","https://openalex.org/W2123798617","https://openalex.org/W2146655154","https://openalex.org/W1593765610","https://openalex.org/W2443615171","https://openalex.org/W1996737726","https://openalex.org/W2134727924","https://openalex.org/W190540493","https://openalex.org/W2566690554"],"abstract_inverted_index":{"A":[0],"new":[1],"proof":[2],"is":[3,18,47,66],"presented":[4],"for":[5],"the":[6,22,33,38,50,57,69],"existence":[7,39,51],"of":[8,35,40,52,71],"block":[9,53],"codes":[10,42,54],"whose":[11],"error":[12],"probability":[13],"under":[14,68],"maximum":[15,72],"likelihood":[16,73],"decoding":[17],"bounded":[19],"asymptotically":[20],"by":[21],"random":[23],"coding":[24],"bound":[25,59],"universally":[26,44,60],"over":[27,61],"all":[28,62],"discrete":[29,63],"memoryless":[30,64],"channels.":[31],"On":[32],"basis":[34],"this":[36],"result,":[37],"convolutional":[41],"with":[43],"optimum":[45],"performance":[46],"shown.":[48],"Furthermore":[49],"which":[55],"attain":[56],"expurgated":[58],"channels":[65],"proved":[67],"use":[70],"decoding.":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
