{"id":"https://openalex.org/W2047503790","doi":"https://doi.org/10.1109/itw.2006.1633811","title":"A Simple Derivation of Burnashev's Reliability Function","display_name":"A Simple Derivation of Burnashev's Reliability Function","publication_year":2006,"publication_date":"2006-05-25","ids":{"openalex":"https://openalex.org/W2047503790","doi":"https://doi.org/10.1109/itw.2006.1633811","mag":"2047503790"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2006.1633811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2006.1633811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://infoscience.epfl.ch/record/96103","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020252157","display_name":"P. Berlin","orcid":null},"institutions":[{"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"],"is_corresponding":true,"raw_author_name":"P. Berlin","raw_affiliation_strings":["School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074152408","display_name":"Bixio Rimoldi","orcid":null},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"B. Rimoldi","raw_affiliation_strings":["School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5025506109","display_name":"Emre Telatar","orcid":"https://orcid.org/0009-0007-5365-5368"},"institutions":[{"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"],"is_corresponding":false,"raw_author_name":"E. Telatar","raw_affiliation_strings":["School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"School of Computer and Communication Sciences, Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5020252157"],"corresponding_institution_ids":["https://openalex.org/I5124864"],"apc_list":null,"apc_paid":null,"fwci":1.5318,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.83006244,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":null,"first_page":"203","last_page":"205"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9987999796867371,"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":0.9987999796867371,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9739000201225281,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9718999862670898,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7965344190597534},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.6332436800003052},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.544894814491272},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5361829400062561},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.531936526298523},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49496716260910034},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.493283212184906},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.4281514286994934},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4131198823451996},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3951343894004822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3229808509349823},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3214970529079437},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19490790367126465},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.1832580864429474},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.16200733184814453},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.09424257278442383},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08550828695297241},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08099475502967834}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7965344190597534},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6332436800003052},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.544894814491272},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5361829400062561},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.531936526298523},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49496716260910034},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.493283212184906},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.4281514286994934},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4131198823451996},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3951343894004822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3229808509349823},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3214970529079437},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19490790367126465},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.1832580864429474},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.16200733184814453},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.09424257278442383},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08550828695297241},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08099475502967834},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/itw.2006.1633811","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2006.1633811","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2006 IEEE Information Theory Workshop","raw_type":"proceedings-article"},{"id":"pmh:oai:infoscience.tind.io:96103","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/96103","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":null,"raw_type":"conference proceedings"}],"best_oa_location":{"id":"pmh:oai:infoscience.tind.io:96103","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/96103","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":null,"raw_type":"conference proceedings"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1549664537","https://openalex.org/W1602844557","https://openalex.org/W2107552991","https://openalex.org/W2114409574","https://openalex.org/W2115827190","https://openalex.org/W2165284522","https://openalex.org/W2167679541","https://openalex.org/W4285719527","https://openalex.org/W6676949588"],"related_works":["https://openalex.org/W2976484395","https://openalex.org/W2149931498","https://openalex.org/W3136353702","https://openalex.org/W1499116563","https://openalex.org/W4382365031","https://openalex.org/W2105960885","https://openalex.org/W2242449912","https://openalex.org/W2123027474","https://openalex.org/W2119486537","https://openalex.org/W1931530614"],"abstract_inverted_index":{"Feedback":[0],"coupled":[1],"with":[2],"variable-length":[3],"codes":[4],"can":[5],"substantially":[6],"increase":[7],"the":[8,31,56,64,68,71,76,85,96],"reliability":[9],"of":[10,55,70,95,103],"a":[11,18,36,41,46,101],"discrete":[12],"memoryless":[13],"channel":[14],"(DMC).":[15],"Burnashev,":[16],"in":[17,22,75],"remarkable":[19],"paper":[20],"published":[21],"1976,":[23],"derived":[24],"an":[25,52,104],"asymptotically":[26],"achievable":[27],"lower":[28,57,97],"bound":[29,77,98,106],"to":[30,81,87],"average":[32],"blocklength":[33],"needed":[34],"for":[35],"system":[37],"that":[38,73],"communicates":[39],"at":[40],"specified":[42],"rate":[43],"and":[44,66,84,109],"achieves":[45],"given":[47],"error":[48],"probability.":[49],"We":[50],"offer":[51],"alternative":[53],"proof":[54,60],"bound.":[58],"Our":[59],"is":[61],"simpler":[62],"than":[63],"original,":[65],"clarifies":[67],"roles":[69],"quantites":[72],"appear":[74],"by":[78,107],"relating":[79],"one":[80],"uncertainty":[82],"reduction":[83],"other":[86],"binary":[88],"hypothesis":[89],"testing.":[90],"In":[91],"addition,":[92],"our":[93],"derivation":[94,102],"closely":[99],"parallels":[100],"upper":[105],"Yamamoto":[108],"Itoh.":[110]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
