{"id":"https://openalex.org/W2021282228","doi":"https://doi.org/10.1109/tit.2014.2322624","title":"The Zero-Undetected-Error Capacity Approaches the Sperner Capacity","display_name":"The Zero-Undetected-Error Capacity Approaches the Sperner Capacity","publication_year":2014,"publication_date":"2014-05-08","ids":{"openalex":"https://openalex.org/W2021282228","doi":"https://doi.org/10.1109/tit.2014.2322624","mag":"2021282228"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2322624","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2322624","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":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1309.4930","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5070371132","display_name":"Christoph Bunte","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Christoph Bunte","raw_affiliation_strings":["Signal and Information Processing Laboratory, ETH Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal and Information Processing Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5059036901","display_name":"Amos Lapidoth","orcid":"https://orcid.org/0000-0002-4742-5124"},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Amos Lapidoth","raw_affiliation_strings":["Signal and Information Processing Laboratory, ETH Zurich, Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Signal and Information Processing Laboratory, ETH Zurich, Zurich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004360801","display_name":"Alex Samorodnitsky","orcid":"https://orcid.org/0000-0001-8643-7948"},"institutions":[{"id":"https://openalex.org/I197251160","display_name":"Hebrew University of Jerusalem","ror":"https://ror.org/03qxff017","country_code":"IL","type":"education","lineage":["https://openalex.org/I197251160"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Alex Samorodnitsky","raw_affiliation_strings":["Institute of Computer Science, Hebrew University of Jerusalem, Jerusalem, Israel","Institute of Computer Science, Hebrew University of Jerusalem, Jerusalem, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Institute of Computer Science, Hebrew University of Jerusalem, Jerusalem, Israel","institution_ids":["https://openalex.org/I197251160"]},{"raw_affiliation_string":"Institute of Computer Science, Hebrew University of Jerusalem, Jerusalem, Israel#TAB#","institution_ids":["https://openalex.org/I197251160"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5070371132"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":1.7021,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.86065269,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"7","first_page":"3825","last_page":"3833"},"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":0.9980000257492065,"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":0.9958999752998352,"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/channel-capacity","display_name":"Channel capacity","score":0.7248114943504333},{"id":"https://openalex.org/keywords/zero","display_name":"Zero (linguistics)","score":0.608368456363678},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5933674573898315},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.58663409948349},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5839669704437256},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.583472490310669},{"id":"https://openalex.org/keywords/limit","display_name":"Limit (mathematics)","score":0.5140836834907532},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4791816473007202},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46634453535079956},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.23904216289520264},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.11126244068145752},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.059670478105545044}],"concepts":[{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.7248114943504333},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.608368456363678},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5933674573898315},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.58663409948349},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5839669704437256},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.583472490310669},{"id":"https://openalex.org/C151201525","wikidata":"https://www.wikidata.org/wiki/Q177239","display_name":"Limit (mathematics)","level":2,"score":0.5140836834907532},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4791816473007202},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46634453535079956},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.23904216289520264},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.11126244068145752},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.059670478105545044},{"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}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2014.2322624","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2322624","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:arXiv.org:1309.4930","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.4930","pdf_url":"https://arxiv.org/pdf/1309.4930","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1309.4930","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1309.4930","pdf_url":"https://arxiv.org/pdf/1309.4930","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},"sustainable_development_goals":[{"score":0.4099999964237213,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W1487374707","https://openalex.org/W1493858165","https://openalex.org/W1549664537","https://openalex.org/W1736513039","https://openalex.org/W1990722740","https://openalex.org/W1994333801","https://openalex.org/W2017180715","https://openalex.org/W2057756383","https://openalex.org/W2059224777","https://openalex.org/W2064830370","https://openalex.org/W2068871408","https://openalex.org/W2072316811","https://openalex.org/W2107552991","https://openalex.org/W2115827190","https://openalex.org/W2142901448","https://openalex.org/W2147326498","https://openalex.org/W2147686726","https://openalex.org/W2148695545","https://openalex.org/W2153348887","https://openalex.org/W2159839982","https://openalex.org/W2165203736","https://openalex.org/W2174534725","https://openalex.org/W2276336683","https://openalex.org/W2476899828","https://openalex.org/W2977322974","https://openalex.org/W3101827998","https://openalex.org/W4205855417","https://openalex.org/W4241642706","https://openalex.org/W6676574814","https://openalex.org/W6785807367"],"related_works":["https://openalex.org/W4300899577","https://openalex.org/W3194471551","https://openalex.org/W4375956809","https://openalex.org/W1581373162","https://openalex.org/W2784911598","https://openalex.org/W3013085049","https://openalex.org/W1560496689","https://openalex.org/W4297950433","https://openalex.org/W2743400891","https://openalex.org/W2167949116"],"abstract_inverted_index":{"Ahlswede,":[0],"Cai,":[1],"and":[2,24],"Zhang":[3],"proved":[4],"that,":[5],"in":[6],"the":[7,10,17,21,36],"noise-free":[8],"limit,":[9],"zero-undetected-error":[11],"capacity":[12,19],"is":[13],"lower":[14],"bounded":[15],"by":[16],"Sperner":[18],"of":[20],"channel":[22],"graph,":[23],"they":[25],"conjectured":[26],"equality.":[27],"Here,":[28],"we":[29],"derive":[30],"an":[31],"upper":[32],"bound":[33],"that":[34],"proves":[35],"conjecture.":[37]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}