{"id":"https://openalex.org/W4312737861","doi":"https://doi.org/10.1109/tit.2022.3212320","title":"Typical Error Exponents: A Dual Domain Derivation","display_name":"Typical Error Exponents: A Dual Domain Derivation","publication_year":2022,"publication_date":"2022-10-05","ids":{"openalex":"https://openalex.org/W4312737861","doi":"https://doi.org/10.1109/tit.2022.3212320"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3212320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3212320","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":["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/A5035180361","display_name":"Giuseppe Cocco","orcid":"https://orcid.org/0000-0003-1720-8986"},"institutions":[{"id":"https://openalex.org/I170486558","display_name":"Universitat Pompeu Fabra","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":["Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0003-1720-8986","affiliations":[{"raw_affiliation_string":"Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain","institution_ids":["https://openalex.org/I170486558"]}]},{"author_position":"middle","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":"Universitat Pompeu Fabra","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":["Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain","Department of Engineering, University of Cambridge, Cambridge, U.K"],"raw_orcid":"https://orcid.org/0000-0003-2795-1124","affiliations":[{"raw_affiliation_string":"Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain","institution_ids":["https://openalex.org/I170486558"]},{"raw_affiliation_string":"Department of Engineering, University of Cambridge, Cambridge, U.K","institution_ids":["https://openalex.org/I241749"]}]},{"author_position":"last","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":"Universitat Pompeu Fabra","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":["Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain"],"raw_orcid":"https://orcid.org/0000-0002-0009-2545","affiliations":[{"raw_affiliation_string":"Department of Information and Communication Technologies, Universitat Pompeu Fabra, Barcelona, Spain","institution_ids":["https://openalex.org/I170486558"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7555,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68954518,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"69","issue":"2","first_page":"776","last_page":"793"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9994999766349792,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9994999766349792,"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/code-word","display_name":"Code word","score":0.6723049879074097},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6629462838172913},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.6001467108726501},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5851231217384338},{"id":"https://openalex.org/keywords/channel-code","display_name":"Channel code","score":0.5450295805931091},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.510258674621582},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47691723704338074},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.47665172815322876},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.45266589522361755},{"id":"https://openalex.org/keywords/binary-symmetric-channel","display_name":"Binary symmetric channel","score":0.41221123933792114},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3589666485786438},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20262852311134338},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15059176087379456},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.12268540263175964}],"concepts":[{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6723049879074097},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6629462838172913},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.6001467108726501},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5851231217384338},{"id":"https://openalex.org/C166366890","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Channel code","level":3,"score":0.5450295805931091},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.510258674621582},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47691723704338074},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.47665172815322876},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.45266589522361755},{"id":"https://openalex.org/C173988684","wikidata":"https://www.wikidata.org/wiki/Q863510","display_name":"Binary symmetric channel","level":4,"score":0.41221123933792114},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3589666485786438},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20262852311134338},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15059176087379456},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.12268540263175964},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3212320","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3212320","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G306806109","display_name":"Beatriu de Pinos-3 Postdoctoral Programme","funder_award_id":"801370","funder_id":"https://openalex.org/F4320338337","funder_display_name":"H2020 Marie Sk\u0142odowska-Curie Actions"},{"id":"https://openalex.org/G3515037912","display_name":null,"funder_award_id":"PID2020-116683GBC22","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G4963644402","display_name":null,"funder_award_id":"725411","funder_id":"https://openalex.org/F4320334678","funder_display_name":"European Research Council"}],"funders":[{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"},{"id":"https://openalex.org/F4320334678","display_name":"European Research Council","ror":"https://ror.org/0472cxd90"},{"id":"https://openalex.org/F4320338337","display_name":"H2020 Marie Sk\u0142odowska-Curie Actions","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W1503422010","https://openalex.org/W1516857958","https://openalex.org/W1993944611","https://openalex.org/W1995875735","https://openalex.org/W2008911022","https://openalex.org/W2034274945","https://openalex.org/W2037174363","https://openalex.org/W2057756383","https://openalex.org/W2093186237","https://openalex.org/W2096667287","https://openalex.org/W2147163807","https://openalex.org/W2172001422","https://openalex.org/W2604502223","https://openalex.org/W2743735469","https://openalex.org/W2962746504","https://openalex.org/W2963517643","https://openalex.org/W2975010068","https://openalex.org/W2977146222","https://openalex.org/W2997589168","https://openalex.org/W3013463451","https://openalex.org/W3026839660","https://openalex.org/W3101561435","https://openalex.org/W3102287958","https://openalex.org/W3190595840","https://openalex.org/W4205265657","https://openalex.org/W4205747042","https://openalex.org/W4205855417","https://openalex.org/W4211192810","https://openalex.org/W4302366875","https://openalex.org/W4386453477","https://openalex.org/W6634315162"],"related_works":["https://openalex.org/W2117827073","https://openalex.org/W2138116514","https://openalex.org/W4390826522","https://openalex.org/W2090054304","https://openalex.org/W98604564","https://openalex.org/W1650414643","https://openalex.org/W2032523911","https://openalex.org/W4289655246","https://openalex.org/W2154612888","https://openalex.org/W2133231244"],"abstract_inverted_index":{"This":[0,41],"paper":[1],"shows":[2],"that":[3,6],"the":[4,7,27,35,53,93],"probability":[5],"error":[8],"exponent":[9,30],"of":[10],"a":[11,17,23],"given":[12],"code":[13],"randomly":[14],"generated":[15],"from":[16],"pairwise-independent":[18,86],"ensemble":[19],"is":[20,44],"smaller":[21],"than":[22],"lower":[24,42],"bound":[25,43],"on":[26],"typical":[28],"random-coding":[29],"tends":[31,38],"to":[32,39,46,92,104],"zero":[33],"as":[34,68],"codeword":[36],"length":[37],"infinity.":[40],"known":[45],"be":[47],"tight":[48],"for":[49,58,74],"i.i.d.":[50],"ensembles":[51,98,105],"over":[52,61,99,106],"binary":[54],"symmetric":[55],"channel":[56],"and":[57,71,84,96,103],"constant-composition":[59,95],"codes":[60],"memoryless":[62,101],"channels.":[63,108],"Our":[64],"results":[65,91],"recover":[66],"both":[67],"special":[69],"cases":[70],"remain":[72],"valid":[73],"arbitrary":[75,77,85],"alphabets,":[76],"channels\u2014for":[78],"example":[79],"finite-state":[80,107],"channels":[81,102],"with":[82],"memory\u2014,":[83],"ensembles.":[87],"We":[88],"specialize":[89],"our":[90],"i.i.d.,":[94],"cost-constrained":[97],"discrete":[100]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}