{"id":"https://openalex.org/W2125745577","doi":"https://doi.org/10.1109/isit.2010.5513232","title":"Sphere-packing bound for block-codes with feedback and finite memory","display_name":"Sphere-packing bound for block-codes with feedback and finite memory","publication_year":2010,"publication_date":"2010-06-01","ids":{"openalex":"https://openalex.org/W2125745577","doi":"https://doi.org/10.1109/isit.2010.5513232","mag":"2125745577"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2010.5513232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"article","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/A5022872470","display_name":"Giacomo Como","orcid":"https://orcid.org/0000-0002-2176-9586"},"institutions":[{"id":"https://openalex.org/I4210143601","display_name":"Decision Systems (United States)","ror":"https://ror.org/0434dpa13","country_code":"US","type":"company","lineage":["https://openalex.org/I4210143601"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Giacomo Como","raw_affiliation_strings":["Massachusetts Institute of Technology, Laboratory for Information and Decision Systems, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Laboratory for Information and Decision Systems, USA","institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5043739873","display_name":"Bar\u0131\u015f Nakibo\u011flu","orcid":"https://orcid.org/0000-0001-7737-5423"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Baris Nakiboglu","raw_affiliation_strings":["Massachusetts Institute of Technology, Research Laboratory of Electronics at MIT, USA"],"affiliations":[{"raw_affiliation_string":"Massachusetts Institute of Technology, Research Laboratory of Electronics at MIT, USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5022872470"],"corresponding_institution_ids":["https://openalex.org/I4210143601","https://openalex.org/I63966007"],"apc_list":null,"apc_paid":null,"fwci":0.3448,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.64724943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"13","issue":null,"first_page":"251","last_page":"255"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9976999759674072,"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"}},"topics":[{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9976999759674072,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9952999949455261,"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":0.991100013256073,"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":0.7721982002258301},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6435220241546631},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.6158750653266907},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5837975740432739},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5761831402778625},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.46987801790237427},{"id":"https://openalex.org/keywords/sphere-packing","display_name":"Sphere packing","score":0.4490250051021576},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.4344669282436371},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.4315643012523651},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.41570496559143066},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41112449765205383},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3497313857078552},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.325724333524704},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3093215227127075},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07558557391166687}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7721982002258301},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6435220241546631},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.6158750653266907},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5837975740432739},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5761831402778625},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.46987801790237427},{"id":"https://openalex.org/C183893376","wikidata":"https://www.wikidata.org/wiki/Q900117","display_name":"Sphere packing","level":2,"score":0.4490250051021576},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.4344669282436371},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.4315643012523651},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.41570496559143066},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41112449765205383},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3497313857078552},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.325724333524704},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3093215227127075},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07558557391166687},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2010.5513232","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2010.5513232","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2010 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:open.metu.edu.tr:11511/38919","is_oa":false,"landing_page_url":"https://hdl.handle.net/11511/38919","pdf_url":null,"source":{"id":"https://openalex.org/S4306402495","display_name":"OpenMETU (Middle East Technical University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I201799495","host_organization_name":"Middle East Technical University","host_organization_lineage":["https://openalex.org/I201799495"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W124265481","https://openalex.org/W2002240881","https://openalex.org/W2005530146","https://openalex.org/W2164684058","https://openalex.org/W3190595840","https://openalex.org/W6605186422"],"related_works":["https://openalex.org/W2467119940","https://openalex.org/W3203142394","https://openalex.org/W1963637513","https://openalex.org/W2117827073","https://openalex.org/W2351374656","https://openalex.org/W2158501538","https://openalex.org/W2159466585","https://openalex.org/W2159335518","https://openalex.org/W1511416300","https://openalex.org/W2156187609"],"abstract_inverted_index":{"A":[0],"lower":[1],"bound":[2,3],"is":[4,32,46],"established":[5],"on":[6],"the":[7,35,49],"error":[8],"probability":[9],"of":[10,24,38],"fixed-length":[11],"block-coding":[12],"systems":[13,41],"with":[14],"finite":[15,28],"memory":[16],"feedback,":[17],"which":[18],"can":[19],"be":[20],"described":[21],"in":[22],"terms":[23],"a":[25],"time":[26],"dependent":[27],"state":[29],"machine.":[30],"It":[31],"shown":[33],"that":[34],"reliability":[36],"function":[37],"such":[39],"coding":[40],"over":[42],"discrete":[43],"memoryless":[44],"channels":[45],"upper-bounded":[47],"by":[48],"sphere-packing":[50],"exponent.":[51]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}