{"id":"https://openalex.org/W3215509248","doi":"https://doi.org/10.1109/itw48936.2021.9611426","title":"Concentration of Random-Coding Error Exponents","display_name":"Concentration of Random-Coding Error Exponents","publication_year":2021,"publication_date":"2021-10-17","ids":{"openalex":"https://openalex.org/W3215509248","doi":"https://doi.org/10.1109/itw48936.2021.9611426","mag":"3215509248"},"language":"en","primary_location":{"id":"doi:10.1109/itw48936.2021.9611426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611426","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.17863/cam.81294","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5064002285","display_name":"Lan V. Truong","orcid":"https://orcid.org/0000-0002-7756-3464"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Lan V. Truong","raw_affiliation_strings":["University of Cambridge"],"affiliations":[{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035180361","display_name":"Giuseppe Cocco","orcid":"https://orcid.org/0000-0003-1720-8986"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Pompeu Fabra University","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Giuseppe Cocco","raw_affiliation_strings":["Universitat Pompeu Fabra"],"affiliations":[{"raw_affiliation_string":"Universitat Pompeu Fabra","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077848573","display_name":"Josep Font\u2010Segura","orcid":"https://orcid.org/0000-0002-0009-2545"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Pompeu Fabra University","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Josep Font-Segura","raw_affiliation_strings":["Universitat Pompeu Fabra"],"affiliations":[{"raw_affiliation_string":"Universitat Pompeu Fabra","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005125538","display_name":"Albert Guill\u00e9n i F\u00e0bregas","orcid":"https://orcid.org/0000-0003-2795-1124"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Pompeu Fabra University","ror":"https://ror.org/04n0g0b29","country_code":"ES","type":"education","lineage":["https://openalex.org/I170486558"]},{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]}],"countries":["ES","GB"],"is_corresponding":false,"raw_author_name":"Albert Guillen i Fabregas","raw_affiliation_strings":["Universitat Pompeu Fabra","University of Cambridge"],"affiliations":[{"raw_affiliation_string":"Universitat Pompeu Fabra","institution_ids":["https://openalex.org/I170486558"]},{"raw_affiliation_string":"University of Cambridge","institution_ids":["https://openalex.org/I241749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5064002285"],"corresponding_institution_ids":["https://openalex.org/I241749"],"apc_list":null,"apc_paid":null,"fwci":0.2005,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.52258756,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"11","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9994000196456909,"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/T12029","display_name":"DNA and Biological Computing","score":0.9991999864578247,"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/exponent","display_name":"Exponent","score":0.8063168525695801},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.7388847470283508},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.662396252155304},{"id":"https://openalex.org/keywords/probability-of-error","display_name":"Probability of error","score":0.6202607154846191},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6088178157806396},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35591959953308105},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.33344197273254395},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3304908275604248},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32774561643600464},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.14987236261367798},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10497972369194031}],"concepts":[{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.8063168525695801},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.7388847470283508},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.662396252155304},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.6202607154846191},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6088178157806396},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35591959953308105},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.33344197273254395},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3304908275604248},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32774561643600464},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.14987236261367798},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10497972369194031},{"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":3,"locations":[{"id":"doi:10.1109/itw48936.2021.9611426","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw48936.2021.9611426","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:www.repository.cam.ac.uk:1810/333878","is_oa":false,"landing_page_url":"https://www.repository.cam.ac.uk/handle/1810/333878","pdf_url":null,"source":{"id":"https://openalex.org/S4306401777","display_name":"Apollo (University of Cambridge)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I241749","host_organization_name":"University of Cambridge","host_organization_lineage":["https://openalex.org/I241749"],"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":"Conference Object"},{"id":"doi:10.17863/cam.81294","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.81294","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.17863/cam.81294","is_oa":true,"landing_page_url":"https://doi.org/10.17863/cam.81294","pdf_url":null,"source":{"id":"https://openalex.org/S7407050737","display_name":"Apollo","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.41999998688697815,"display_name":"Reduced inequalities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W568673721","https://openalex.org/W1503422010","https://openalex.org/W1545744341","https://openalex.org/W1989008275","https://openalex.org/W1993944611","https://openalex.org/W1995875735","https://openalex.org/W2034274945","https://openalex.org/W2056099894","https://openalex.org/W2092271237","https://openalex.org/W2096667287","https://openalex.org/W2103098233","https://openalex.org/W2142901448","https://openalex.org/W2169071224","https://openalex.org/W2751862591","https://openalex.org/W2790825170","https://openalex.org/W2797781245","https://openalex.org/W2962746504","https://openalex.org/W2963517643","https://openalex.org/W2975010068","https://openalex.org/W2977146222","https://openalex.org/W3026839660","https://openalex.org/W3104519130","https://openalex.org/W3190595840","https://openalex.org/W3198110814","https://openalex.org/W4232753567","https://openalex.org/W4245577611"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2467119940","https://openalex.org/W4389457771","https://openalex.org/W2042172774","https://openalex.org/W2117827073","https://openalex.org/W1998204618","https://openalex.org/W2351374656","https://openalex.org/W2158501538","https://openalex.org/W2159335518","https://openalex.org/W2120247964"],"abstract_inverted_index":{"This":[0],"paper":[1,24],"studies":[2],"the":[3,27,35,40,48,55,61,64,69,78,85,88,93],"error":[4,28,50,66,71],"exponent":[5,29,67,72],"of":[6,30,39,42,60,80,95],"i.i.d.":[7],"randomly":[8],"generated":[9],"codes":[10],"used":[11],"for":[12],"transmission":[13],"over":[14],"discrete":[15],"memoryless":[16],"channels":[17],"with":[18],"maximum":[19],"likelihood":[20],"decoding.":[21],"Specifically,":[22],"this":[23],"shows":[25],"that":[26,63,87],"a":[31,58],"code,":[32],"defined":[33],"as":[34],"negative":[36],"normalized":[37],"logarithm":[38],"probability":[41,46,94],"error,":[43],"converges":[44],"in":[45],"to":[47],"typical":[49],"exponent.":[51],"For":[52,74],"high":[53],"rates,":[54,76],"result":[56],"is":[57,82],"consequence":[59],"fact":[62,86],"random-coding":[65],"and":[68],"sphere-packing":[70],"coincide.":[73],"low":[75],"instead,":[77],"proof":[79],"convergence":[81],"based":[83],"on":[84],"union":[89],"bound":[90],"accurately":[91],"characterizes":[92],"error.":[96]},"counts_by_year":[{"year":2022,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}