{"id":"https://openalex.org/W2038920680","doi":"https://doi.org/10.1109/tit.2014.2324555","title":"Second-Order Coding Rates for Channels With State","display_name":"Second-Order Coding Rates for Channels With State","publication_year":2014,"publication_date":"2014-05-16","ids":{"openalex":"https://openalex.org/W2038920680","doi":"https://doi.org/10.1109/tit.2014.2324555","mag":"2038920680"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2324555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2324555","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/1305.6789","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Marco Tomamichel","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]},{"id":"https://openalex.org/I115455960","display_name":"Centre for Quantum Technologies","ror":"https://ror.org/01mgdzc49","country_code":"SG","type":"facility","lineage":["https://openalex.org/I115455960"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Marco Tomamichel","raw_affiliation_strings":["Center for Quantum Technologies, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Center for Quantum Technologies, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":null,"display_name":"Vincent Y. F. Tan","orcid":null},"institutions":[{"id":"https://openalex.org/I165932596","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49","country_code":"SG","type":"education","lineage":["https://openalex.org/I165932596"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Vincent Y. F. Tan","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Department of Mathematics, National University of Singapore, Singapore"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Department of Mathematics, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I115455960","https://openalex.org/I165932596"],"apc_list":null,"apc_paid":null,"fwci":3.6181,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.93588843,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"60","issue":"8","first_page":"4427","last_page":"4448"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9490000009536743,"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":0.9490000009536743,"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":0.01140000019222498,"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":0.005499999970197678,"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/converse","display_name":"Converse","score":0.8274999856948853},{"id":"https://openalex.org/keywords/independent-and-identically-distributed-random-variables","display_name":"Independent and identically distributed random variables","score":0.7157999873161316},{"id":"https://openalex.org/keywords/encoder","display_name":"Encoder","score":0.6517999768257141},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.585099995136261},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.5835999846458435},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5737000107765198},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.5291000008583069},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4699999988079071},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4596000015735626}],"concepts":[{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.8274999856948853},{"id":"https://openalex.org/C141513077","wikidata":"https://www.wikidata.org/wiki/Q378542","display_name":"Independent and identically distributed random variables","level":3,"score":0.7157999873161316},{"id":"https://openalex.org/C118505674","wikidata":"https://www.wikidata.org/wiki/Q42586063","display_name":"Encoder","level":2,"score":0.6517999768257141},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.585099995136261},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.5835999846458435},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5737000107765198},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.5291000008583069},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4724999964237213},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4699999988079071},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.46299999952316284},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4596000015735626},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.4458000063896179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.444599986076355},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4097999930381775},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3912000060081482},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.37869998812675476},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.35269999504089355},{"id":"https://openalex.org/C2780841128","wikidata":"https://www.wikidata.org/wiki/Q5073781","display_name":"Characterization (materials science)","level":2,"score":0.32670000195503235},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31679999828338623},{"id":"https://openalex.org/C81978471","wikidata":"https://www.wikidata.org/wiki/Q1196572","display_name":"Fading","level":3,"score":0.3084000051021576},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.30219998955726624},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29820001125335693},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.2786000072956085},{"id":"https://openalex.org/C189973286","wikidata":"https://www.wikidata.org/wiki/Q176695","display_name":"Markov property","level":4,"score":0.2754000127315521},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.27410000562667847},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.2703999876976013},{"id":"https://openalex.org/C3020028006","wikidata":"https://www.wikidata.org/wiki/Q9158","display_name":"Electronic mail","level":2,"score":0.26190000772476196}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2014.2324555","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2324555","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:1305.6789","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.6789","pdf_url":"https://arxiv.org/pdf/1305.6789","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:1305.6789","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1305.6789","pdf_url":"https://arxiv.org/pdf/1305.6789","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320696","display_name":"Agency for Science, Technology and Research","ror":"https://ror.org/036wvzt09"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W602904462","https://openalex.org/W1921057296","https://openalex.org/W1978910765","https://openalex.org/W1990187371","https://openalex.org/W1990309618","https://openalex.org/W2001839774","https://openalex.org/W2013695092","https://openalex.org/W2017379196","https://openalex.org/W2020347709","https://openalex.org/W2063142364","https://openalex.org/W2077554328","https://openalex.org/W2083026733","https://openalex.org/W2092966336","https://openalex.org/W2100967164","https://openalex.org/W2104340231","https://openalex.org/W2105206521","https://openalex.org/W2106864314","https://openalex.org/W2107689535","https://openalex.org/W2123485355","https://openalex.org/W2134746921","https://openalex.org/W2144476727","https://openalex.org/W2147163807","https://openalex.org/W2153623795","https://openalex.org/W2155973165","https://openalex.org/W2161239292","https://openalex.org/W2167830490","https://openalex.org/W2266878870","https://openalex.org/W4251984466","https://openalex.org/W4302366875"],"related_works":[],"abstract_inverted_index":{"We":[0,22,54],"study":[1],"the":[2,17,20,24,34,42],"performance":[3],"limits":[4],"of":[5,44,60,65],"state-dependent":[6],"discrete":[7,12],"memoryless":[8],"channels":[9,40],"with":[10],"a":[11,57],"state":[13],"available":[14],"at":[15],"both":[16],"encoder":[18],"and":[19,30,81,84],"decoder.":[21],"establish":[23],"\u03b5-capacity":[25],"as":[26,28],"well":[27],"necessary":[29],"sufficient":[31],"conditions":[32],"for":[33,38],"strong":[35],"converse":[36],"property":[37],"such":[39],"when":[41],"sequence":[43],"channel":[45],"states":[46,83],"is":[47],"not":[48],"necessarily":[49],"stationary,":[50],"memoryless,":[51],"or":[52],"ergodic.":[53],"then":[55],"seek":[56],"finer":[58],"characterization":[59],"these":[61],"capacities":[62],"in":[63],"terms":[64],"second-order":[66],"coding":[67],"rates.":[68],"The":[69],"general":[70],"results":[71],"are":[72],"supplemented":[73],"by":[74],"several":[75],"examples":[76],"including":[77],"independent":[78],"identically":[79],"distributed":[80],"Markov":[82],"mixed":[85],"channels.":[86]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-06-24T00:00:00"}
