{"id":"https://openalex.org/W2951125085","doi":"https://doi.org/10.1109/isit.2017.8006759","title":"The Augustin center and the sphere packing bound for memoryless channels","display_name":"The Augustin center and the sphere packing bound for memoryless channels","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2951125085","doi":"https://doi.org/10.1109/isit.2017.8006759","mag":"2951125085"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8006759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006759","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":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1701.06610","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Bans Nakiboglu","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I2738703131","display_name":"Commissariat \u00e0 l'\u00c9nergie Atomique et aux \u00c9nergies Alternatives","ror":"https://ror.org/00jjx8s55","country_code":"FR","type":"government","lineage":["https://openalex.org/I2738703131"]},{"id":"https://openalex.org/I4210144791","display_name":"Institut N\u00e9el","ror":"https://ror.org/04dbzz632","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210098836","https://openalex.org/I4210144791","https://openalex.org/I899635006"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Bans Nakiboglu","raw_affiliation_strings":["CEA/CNRS/UJF Joint team \u00ab Nanophysics and semiconductor \u00bb, Institut N\u00e9el, CNRS, France"],"affiliations":[{"raw_affiliation_string":"CEA/CNRS/UJF Joint team \u00ab Nanophysics and semiconductor \u00bb, Institut N\u00e9el, CNRS, France","institution_ids":["https://openalex.org/I4210144791","https://openalex.org/I2738703131","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I2738703131","https://openalex.org/I4210144791"],"apc_list":null,"apc_paid":null,"fwci":1.1852,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.82105633,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1401","last_page":"1405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"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":0.9995999932289124,"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/T11130","display_name":"Coding theory and cryptography","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T12029","display_name":"DNA and Biological Computing","score":0.9991000294685364,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6151999831199646},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5285000205039978},{"id":"https://openalex.org/keywords/center","display_name":"Center (category theory)","score":0.5236999988555908},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.47099998593330383},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.4675999879837036},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.4334999918937683},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.424699991941452},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.41440001130104065}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6886000037193298},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.652899980545044},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6151999831199646},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5285000205039978},{"id":"https://openalex.org/C2779463800","wikidata":"https://www.wikidata.org/wiki/Q5062222","display_name":"Center (category theory)","level":2,"score":0.5236999988555908},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.47099998593330383},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.4675999879837036},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.4334999918937683},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.424699991941452},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.42170000076293945},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.41440001130104065},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.38600000739097595},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.3625999987125397},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.3327000141143799},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.32109999656677246},{"id":"https://openalex.org/C153046414","wikidata":"https://www.wikidata.org/wiki/Q12482","display_name":"Set theory","level":3,"score":0.2815999984741211},{"id":"https://openalex.org/C183893376","wikidata":"https://www.wikidata.org/wiki/Q900117","display_name":"Sphere packing","level":2,"score":0.2766000032424927},{"id":"https://openalex.org/C138777275","wikidata":"https://www.wikidata.org/wiki/Q6884054","display_name":"Mixing (physics)","level":2,"score":0.259799987077713},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.2533999979496002}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2017.8006759","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8006759","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"},{"id":"pmh:oai:arXiv.org:1701.06610","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06610","pdf_url":"https://arxiv.org/pdf/1701.06610","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"},{"id":"pmh:oai:open.metu.edu.tr:11511/48825","is_oa":true,"landing_page_url":"https://hdl.handle.net/11511/48825","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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1701.06610","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1701.06610","pdf_url":"https://arxiv.org/pdf/1701.06610","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1993944611","https://openalex.org/W2026653933","https://openalex.org/W2033757125","https://openalex.org/W2044180609","https://openalex.org/W2107680983","https://openalex.org/W3190595840","https://openalex.org/W4302366875"],"related_works":[],"abstract_inverted_index":{"For":[0],"any":[1],"channel":[2],"with":[3,44,60,69],"a":[4,14],"convex":[5,70],"constraint":[6],"set":[7],"and":[8,18,27,31,65],"finite":[9],"Augustin":[10,16],"capacity,":[11,25],"existence":[12],"of":[13,54,76],"unique":[15],"center":[17],"associated":[19],"Erven-Harremoes":[20],"bound":[21],"are":[22,29,47],"established.":[23],"Augustin-Legendre":[24],"center,":[26],"radius":[28],"introduced":[30],"proved":[32],"to":[33,36],"be":[34],"equal":[35],"the":[37,73,77],"corresponding":[38],"Renyi-Gallager":[39],"entities.":[40],"Sphere":[41],"packing":[42],"bounds":[43],"polynomial":[45],"prefactors":[46],"derived":[48],"for":[49],"codes":[50],"on":[51,72],"two":[52],"families":[53],"channels:":[55],"(possibly":[56],"non-stationary)":[57],"memoryless":[58,67],"channels":[59,68],"multiple":[61],"additive":[62],"cost":[63],"constraints":[64,71],"stationary":[66],"empirical":[74],"distribution":[75],"input":[78],"codewords.":[79]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2019-06-27T00:00:00"}