{"id":"https://openalex.org/W2010718710","doi":"https://doi.org/10.1109/tit.1977.1055772","title":"An improved upper bound on the block coding error exponent for binary-input discrete memoryless channels (Corresp.)","display_name":"An improved upper bound on the block coding error exponent for binary-input discrete memoryless channels (Corresp.)","publication_year":1977,"publication_date":"1977-09-01","ids":{"openalex":"https://openalex.org/W2010718710","doi":"https://doi.org/10.1109/tit.1977.1055772","mag":"2010718710"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1977.1055772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1977.1055772","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://resolver.caltech.edu/CaltechAUTHORS:MCEieeetit77b","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5032497643","display_name":"Robert J. McEliece","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. McEliece","raw_affiliation_strings":["Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA","Jet Propulsion Laboratory , California Institute of Technology , Pasadena , CA , USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]},{"raw_affiliation_string":"Jet Propulsion Laboratory , California Institute of Technology , Pasadena , CA , USA","institution_ids":["https://openalex.org/I1334627681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5069419916","display_name":"J. K. Omura","orcid":null},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Omura","raw_affiliation_strings":["System Science Department, University of California, Los Angeles, CA, USA","[System Science Department, University of California, Los Angeles, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"System Science Department, University of California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"[System Science Department, University of California, Los Angeles, CA, USA]","institution_ids":["https://openalex.org/I161318765"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":20,"citation_normalized_percentile":{"value":0.14660657,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"23","issue":"5","first_page":"611","last_page":"613"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9997000098228455,"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":0.998199999332428,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.700069785118103},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6557315587997437},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.603349506855011},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5538225173950195},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5220599174499512},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.4973895847797394},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4849455654621124},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4755028188228607},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4660996198654175},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4652474820613861},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.4230974316596985},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3942244052886963},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35192617774009705},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34567105770111084},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2262098789215088},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1102277934551239},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08552971482276917}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.700069785118103},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6557315587997437},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.603349506855011},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5538225173950195},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5220599174499512},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.4973895847797394},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4849455654621124},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4755028188228607},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4660996198654175},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4652474820613861},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.4230974316596985},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3942244052886963},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35192617774009705},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34567105770111084},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2262098789215088},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1102277934551239},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08552971482276917},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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":2,"locations":[{"id":"doi:10.1109/tit.1977.1055772","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1977.1055772","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:authors.library.caltech.edu:6933","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/6933/","pdf_url":"https://resolver.caltech.edu/CaltechAUTHORS:MCEieeetit77b","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:authors.library.caltech.edu:6933","is_oa":true,"landing_page_url":"https://authors.library.caltech.edu/6933/","pdf_url":"https://resolver.caltech.edu/CaltechAUTHORS:MCEieeetit77b","source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306101","display_name":"National Aeronautics and Space Administration","ror":"https://ror.org/027ka1x80"},{"id":"https://openalex.org/F4320309398","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055"},{"id":"https://openalex.org/F4320332375","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2010718710.pdf","grobid_xml":"https://content.openalex.org/works/W2010718710.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W1993944611","https://openalex.org/W2005530146","https://openalex.org/W2065657096","https://openalex.org/W2066949949","https://openalex.org/W2109084006","https://openalex.org/W3190595840"],"related_works":["https://openalex.org/W1963637513","https://openalex.org/W2032523911","https://openalex.org/W2117827073","https://openalex.org/W4289655246","https://openalex.org/W2105310134","https://openalex.org/W2351374656","https://openalex.org/W2158501538","https://openalex.org/W2152012878","https://openalex.org/W2154612888","https://openalex.org/W1985968643"],"abstract_inverted_index":{"The":[0],"recent":[1],"upper":[2,24],"bounds":[3,25],"on":[4,26],"the":[5,27],"minimum":[6],"distance":[7],"of":[8],"binary":[9],"codes":[10],"given":[11],"by":[12],"McEliece,":[13],"Rodemich,":[14],"Rumsey,":[15],"and":[16],"Welch":[17],"are":[18],"shown":[19],"to":[20],"result":[21],"in":[22],"improved":[23],"block":[28],"coding":[29],"error":[30],"exponent":[31],"for":[32],"binary-input":[33],"memoryless":[34],"channels.":[35]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2016-06-24T00:00:00"}