{"id":"https://openalex.org/W1601096891","doi":"https://doi.org/10.1134/s0032946010020018","title":"On the reliability function for a BSC with noisy feedback","display_name":"On the reliability function for a BSC with noisy feedback","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W1601096891","doi":"https://doi.org/10.1134/s0032946010020018","mag":"1601096891"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946010020018","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946010020018","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1011.2180","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030977939","display_name":"M. V. Burnashev","orcid":"https://orcid.org/0000-0002-4747-1091"},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"M. V. Burnashev","raw_affiliation_strings":["Kharkevich Institute for Information Transmission Problems, RAS, Moscow, Russia","RAS Kharkevich Institute for Information Transmission Problems Moscow Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Kharkevich Institute for Information Transmission Problems, RAS, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]},{"raw_affiliation_string":"RAS Kharkevich Institute for Information Transmission Problems Moscow Russia","institution_ids":["https://openalex.org/I4210107660"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084723015","display_name":"H. Yamamoto","orcid":"https://orcid.org/0000-0001-6297-8838"},"institutions":[{"id":"https://openalex.org/I74801974","display_name":"The University of Tokyo","ror":"https://ror.org/057zh3y96","country_code":"JP","type":"education","lineage":["https://openalex.org/I74801974"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"H. Yamamoto","raw_affiliation_strings":["University of Tokyo, Tokyo, Japan","Univ. of Tokyo, Tokyo (Japan)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Tokyo, Tokyo, Japan","institution_ids":["https://openalex.org/I74801974"]},{"raw_affiliation_string":"Univ. of Tokyo, Tokyo (Japan)","institution_ids":["https://openalex.org/I74801974"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5030977939"],"corresponding_institution_ids":["https://openalex.org/I4210107660"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.05300035,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"46","issue":"2","first_page":"103","last_page":"121"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9954000115394592,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.992900013923645,"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/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.8316221237182617},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7555793523788452},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.7465417981147766},{"id":"https://openalex.org/keywords/transmission","display_name":"Transmission (telecommunications)","score":0.663670003414154},{"id":"https://openalex.org/keywords/transmitter","display_name":"Transmitter","score":0.5495608448982239},{"id":"https://openalex.org/keywords/crossover","display_name":"Crossover","score":0.5186464190483093},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.514823853969574},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.49343910813331604},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4682874083518982},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4407452344894409},{"id":"https://openalex.org/keywords/reliability","display_name":"Reliability (semiconductor)","score":0.4176919758319855},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.41506439447402954},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40886324644088745},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.405154287815094},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.4003522992134094},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36292290687561035},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.24685963988304138},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.24448081851005554},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.1341291069984436},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13324549794197083},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13300380110740662},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.0870947539806366},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.08349484205245972},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.07471764087677002},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05555620789527893}],"concepts":[{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.8316221237182617},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7555793523788452},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.7465417981147766},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.663670003414154},{"id":"https://openalex.org/C47798520","wikidata":"https://www.wikidata.org/wiki/Q190157","display_name":"Transmitter","level":3,"score":0.5495608448982239},{"id":"https://openalex.org/C122507166","wikidata":"https://www.wikidata.org/wiki/Q628906","display_name":"Crossover","level":2,"score":0.5186464190483093},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.514823853969574},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.49343910813331604},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4682874083518982},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4407452344894409},{"id":"https://openalex.org/C43214815","wikidata":"https://www.wikidata.org/wiki/Q7310987","display_name":"Reliability (semiconductor)","level":3,"score":0.4176919758319855},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.41506439447402954},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40886324644088745},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.405154287815094},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.4003522992134094},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36292290687561035},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.24685963988304138},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.24448081851005554},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.1341291069984436},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13324549794197083},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13300380110740662},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0870947539806366},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.08349484205245972},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.07471764087677002},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05555620789527893},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"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":4,"locations":[{"id":"doi:10.1134/s0032946010020018","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946010020018","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1011.2180","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1011.2180","pdf_url":"https://arxiv.org/pdf/1011.2180","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.754.8313","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.8313","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1011.2180.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1011.2180","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1011.2180","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1011.2180","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1011.2180","pdf_url":"https://arxiv.org/pdf/1011.2180","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1529178725","https://openalex.org/W1993944611","https://openalex.org/W2005530146","https://openalex.org/W2040877654","https://openalex.org/W2090626867","https://openalex.org/W2099111195","https://openalex.org/W2121656035","https://openalex.org/W2136546053","https://openalex.org/W2142901448","https://openalex.org/W2146653619","https://openalex.org/W2157875630","https://openalex.org/W2164684058","https://openalex.org/W2164985961","https://openalex.org/W2167679541","https://openalex.org/W3190595840"],"related_works":["https://openalex.org/W2964304063","https://openalex.org/W1601096891","https://openalex.org/W2952938220","https://openalex.org/W2125870772","https://openalex.org/W2139251804","https://openalex.org/W2100559105","https://openalex.org/W2091579342","https://openalex.org/W2112941183","https://openalex.org/W2136546053","https://openalex.org/W2561513683"],"abstract_inverted_index":{"A":[0],"binary":[1,14],"symmetric":[2,15],"channel":[3,16,30,73,95],"is":[4,10,42,48,60,63,74,86],"used":[5],"for":[6,55],"information":[7],"transmission.":[8],"There":[9],"also":[11],"another":[12],"noisy":[13],"(feedback":[17],"channel),":[18],"and":[19],"the":[20,28,32,45,67,71,82,89],"transmitter":[21],"observes":[22],"without":[23,96],"delay":[24],"all":[25],"outputs":[26],"of":[27,36,40,58,70,93],"forward":[29],"via":[31],"feedback":[33,72],"channel.":[34],"Transmission":[35],"an":[37],"exponential":[38],"number":[39],"messages":[41],"considered":[43],"(i.e.,":[44],"transmission":[46],"rate":[47],"positive).":[49],"The":[50],"achievable":[51,83],"decoding":[52,90],"error":[53,84,91],"exponent":[54,85,92],"this":[56],"combination":[57],"channels":[59],"studied.":[61],"It":[62],"shown":[64],"that":[65],"if":[66],"crossover":[68],"probability":[69],"less":[75],"than":[76,88],"a":[77,94],"certain":[78],"positive":[79],"value,":[80],"then":[81],"better":[87],"feedback.":[97]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2016-06-24T00:00:00"}