{"id":"https://openalex.org/W2964133422","doi":"https://doi.org/10.1109/isit.2017.8006598","title":"Duality of channels and codes","display_name":"Duality of channels and codes","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2964133422","doi":"https://doi.org/10.1109/isit.2017.8006598","mag":"2964133422"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5067801862","display_name":"Joseph M. Renes","orcid":"https://orcid.org/0000-0003-2302-8025"},"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":"Joseph M. Renes","raw_affiliation_strings":["ETH Z\u00fcrich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ETH Z\u00fcrich","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067801862"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":null,"apc_paid":null,"fwci":0.6744,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68792531,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"299","last_page":"306"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9998999834060669,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9990000128746033,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9970999956130981,"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/duality","display_name":"Duality (order theory)","score":0.7082110047340393},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.6096553206443787},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5405051708221436},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48133835196495056},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4772760272026062},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4596966803073883},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.4542461335659027},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.4507187008857727},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.44650012254714966},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4220483899116516},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39522719383239746},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3665509819984436},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3628036379814148},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33858948945999146},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3310133218765259},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.20648404955863953},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20324215292930603},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14132630825042725}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.7082110047340393},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.6096553206443787},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5405051708221436},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48133835196495056},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4772760272026062},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4596966803073883},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.4542461335659027},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.4507187008857727},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.44650012254714966},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4220483899116516},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39522719383239746},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3665509819984436},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3628036379814148},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33858948945999146},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3310133218765259},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.20648404955863953},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20324215292930603},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14132630825042725},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2017.8006598","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006598","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1536930200","https://openalex.org/W1642532315","https://openalex.org/W1990187371","https://openalex.org/W2002420498","https://openalex.org/W2004820318","https://openalex.org/W2004980778","https://openalex.org/W2055371796","https://openalex.org/W2057180031","https://openalex.org/W2105211531","https://openalex.org/W2106864314","https://openalex.org/W2114473497","https://openalex.org/W2122166994","https://openalex.org/W2144277460","https://openalex.org/W2164253138","https://openalex.org/W2166302514","https://openalex.org/W2168792807","https://openalex.org/W2593217158","https://openalex.org/W2761002175","https://openalex.org/W2963024133","https://openalex.org/W2964133422","https://openalex.org/W3098857864","https://openalex.org/W3100132343","https://openalex.org/W3100174796","https://openalex.org/W3100638609","https://openalex.org/W3101044064","https://openalex.org/W3101663526","https://openalex.org/W3101862981","https://openalex.org/W3103744872"],"related_works":["https://openalex.org/W2213366819","https://openalex.org/W1944455911","https://openalex.org/W2908621555","https://openalex.org/W2006460720","https://openalex.org/W2418694043","https://openalex.org/W2085443677","https://openalex.org/W1977634279","https://openalex.org/W2097886477","https://openalex.org/W2021150736","https://openalex.org/W2766354467"],"abstract_inverted_index":{"For":[0],"any":[1,173,182],"given":[2,81,85],"channel":[3,15,25,53,61,86,132,174,183],"W":[4],"with":[5,27,66],"classical":[6],"inputs":[7,29],"and":[8,30,54,120,134,145,150,161,175],"possibly":[9],"quantum":[10,28],"outputs,":[11],"a":[12,24,39,80,84,190,194,217,222],"dual":[13,95,99],"classical-input":[14],"W\u22a5can":[16],"be":[17,64,124,156,200],"defined":[18],"by":[19,90,227],"embedding":[20],"the":[21,51,72,77,91,94,98,106,114,129,139,169,186,203,206,209,212],"original":[22,52],"into":[23,158],"N":[26],"outputs.":[31],"Here":[32,177],"we":[33,58],"give":[34,216],"new":[35],"uncertainty":[36,73],"relations":[37,74],"for":[38,181,189],"general":[40],"class":[41],"of":[42,68,79,93,108,116,131,143,172,205],"entropies":[43],"that":[44,60,76,113,138,151,180,202],"lead":[45],"to":[46,118,168,220],"very":[47],"close":[48],"relationships":[49],"between":[50],"its":[55],"dual.":[56],"Moreover,":[57],"show":[59],"duality":[62,67,165],"can":[63,155],"combined":[65],"linear":[69],"codes,":[70,110,160],"whereupon":[71],"imply":[75],"performance":[78,92,142],"code":[82,96,192,207,223],"over":[83],"is":[87,147],"entirely":[88],"characterized":[89],"on":[97],"channel.":[100],"This":[101,214],"has":[102,193],"several":[103],"applications.":[104],"In":[105],"context":[107],"polar":[109],"it":[111,178,198],"implies":[112,179],"rates":[115],"polarization":[117],"ideal":[119],"useless":[121],"channels":[122],"must":[123,199],"identical.":[125],"Duality":[126],"also":[127,166],"relates":[128],"tasks":[130],"coding":[133],"privacy":[135],"amplification,":[136],"implying":[137],"finite":[140],"blocklength":[141],"extractors":[144,154],"codes":[146],"precisely":[148],"linked,":[149],"optimal":[152],"rate":[153,204],"transformed":[157],"capacity-achieving":[159],"vice":[162],"versa.":[163],"Finally,":[164],"extends":[167],"EXIT":[170,187,229],"function":[171,188,230],"code.":[176],"family,":[184],"if":[185],"fixed":[191],"sharp":[195],"transition,":[196],"then":[197],"such":[201],"equals":[208],"capacity":[210,226],"at":[211],"transition.":[213],"may":[215],"different":[218],"route":[219],"proving":[221],"family":[224],"achieves":[225],"establishing":[228],"transitions.":[231]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}