{"id":"https://openalex.org/W1509953781","doi":"https://doi.org/10.1109/tit.2015.2462846","title":"Unequal Message Protection: Asymptotic and Non-Asymptotic Tradeoffs","display_name":"Unequal Message Protection: Asymptotic and Non-Asymptotic Tradeoffs","publication_year":2015,"publication_date":"2015-07-30","ids":{"openalex":"https://openalex.org/W1509953781","doi":"https://doi.org/10.1109/tit.2015.2462846","mag":"1509953781"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2015.2462846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2462846","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/A5052329970","display_name":"Yanina Y. Shkel","orcid":"https://orcid.org/0000-0002-2575-1762"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yanina Y. Shkel","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","Department of Electrical Engineering, Princeton University  Princeton NJ USA"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University  Princeton NJ USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058345431","display_name":"Vincent Y. F. Tan","orcid":"https://orcid.org/0000-0002-5008-4527"},"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 the Department of Mathematics, National University of Singapore, Singapore","[Department of Electrical and Computer Engineering, and the Department of Mathematics, National University of Singapore, Singapore]"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and the Department of Mathematics, National University of Singapore, Singapore","institution_ids":["https://openalex.org/I165932596"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering, and the Department of Mathematics, National University of Singapore, Singapore]","institution_ids":["https://openalex.org/I165932596"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029182703","display_name":"Stark C. Draper","orcid":"https://orcid.org/0000-0001-8100-5599"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Stark C. Draper","raw_affiliation_strings":["Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","Department of Electrical & Computer Engineering, University of Toronto, Toronto, On, Canada"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"Department of Electrical & Computer Engineering, University of Toronto, Toronto, On, Canada","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5052329970"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":4.4511,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.94674219,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"61","issue":"10","first_page":"5396","last_page":"5416"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9991999864578247,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9976000189781189,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.6256181597709656},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.5317766666412354},{"id":"https://openalex.org/keywords/header","display_name":"Header","score":0.4957595765590668},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4914771318435669},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47864973545074463},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.452831506729126},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.43570080399513245},{"id":"https://openalex.org/keywords/repetition-code","display_name":"Repetition code","score":0.42619144916534424},{"id":"https://openalex.org/keywords/coset","display_name":"Coset","score":0.4140237867832184},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3793761432170868},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3658831715583801},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3001725375652313},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11707255244255066}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.6256181597709656},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.5317766666412354},{"id":"https://openalex.org/C48105269","wikidata":"https://www.wikidata.org/wiki/Q1141160","display_name":"Header","level":2,"score":0.4957595765590668},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4914771318435669},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47864973545074463},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.452831506729126},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.43570080399513245},{"id":"https://openalex.org/C194405637","wikidata":"https://www.wikidata.org/wiki/Q369367","display_name":"Repetition code","level":5,"score":0.42619144916534424},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.4140237867832184},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3793761432170868},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3658831715583801},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3001725375652313},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11707255244255066}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2015.2462846","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2015.2462846","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":[{"score":0.75,"id":"https://metadata.un.org/sdg/1","display_name":"No poverty"}],"awards":[{"id":"https://openalex.org/G2165548363","display_name":null,"funder_award_id":"Canada","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G3124552980","display_name":null,"funder_award_id":"R-263-000-A98-750/133","funder_id":"https://openalex.org/F4320320698","funder_display_name":"National University of Singapore"},{"id":"https://openalex.org/G6671297155","display_name":null,"funder_award_id":"CAREER","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7041876328","display_name":"CAREER: Error-control for Streaming Media: Architecture, Code Design, and Noisy Feedback","funder_award_id":"0844539","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8284766523","display_name":null,"funder_award_id":"(NSERC)","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320320698","display_name":"National University of Singapore","ror":"https://ror.org/01tgyzw49"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W175106675","https://openalex.org/W1644515419","https://openalex.org/W1969950641","https://openalex.org/W1986817263","https://openalex.org/W1989008275","https://openalex.org/W2001251979","https://openalex.org/W2020347709","https://openalex.org/W2041034483","https://openalex.org/W2042212887","https://openalex.org/W2042568153","https://openalex.org/W2059120410","https://openalex.org/W2090397468","https://openalex.org/W2106864314","https://openalex.org/W2108078432","https://openalex.org/W2122057349","https://openalex.org/W2128941365","https://openalex.org/W2131820783","https://openalex.org/W2142901448","https://openalex.org/W2163446469","https://openalex.org/W2196937749","https://openalex.org/W2266878870","https://openalex.org/W2276299490","https://openalex.org/W2478708596","https://openalex.org/W2553034426","https://openalex.org/W2751862591","https://openalex.org/W2790825170","https://openalex.org/W2962750434","https://openalex.org/W2963361462","https://openalex.org/W3099057269","https://openalex.org/W3121602658","https://openalex.org/W4301258660","https://openalex.org/W6636822471"],"related_works":["https://openalex.org/W2294262390","https://openalex.org/W1869871778","https://openalex.org/W3082276652","https://openalex.org/W2128568707","https://openalex.org/W2248738868","https://openalex.org/W2049629868","https://openalex.org/W2613950276","https://openalex.org/W2394576783","https://openalex.org/W2153945943","https://openalex.org/W1977993157"],"abstract_inverted_index":{"We":[0,47,93,159,173],"study":[1,137],"a":[2,19,23,138,147,154,190],"form":[3],"of":[4,18,25,53,59,110,132,194],"unequal":[5,11],"error":[6,35,43,60,116],"protection":[7,13,36,44,152],"that":[8,141,176],"we":[9,81,123,136],"term":[10],"message":[12,16,28,54,144],"(UMP).":[14],"The":[15],"set":[17],"UMP":[20,75,133,179,196],"code":[21],"is":[22,166],"union":[24],"m":[26],"disjoint":[27],"classes.":[29],"Each":[30],"class":[31,145],"has":[32],"its":[33],"own":[34],"requirement,":[37],"with":[38],"some":[39],"classes":[40,55],"needing":[41],"better":[42],"than":[45],"others.":[46],"analyze":[48,106],"the":[49,57,98,107,111,114,129,143],"tradeoff":[50],"between":[51],"rates":[52],"and":[56,87,101,105,117],"levels":[58],"protection;":[61],"our":[62,79,95,177],"analysis":[63],"reveals":[64],"new":[65],"tradeoffs,":[66],"which":[67,188],"were":[68],"not":[69,167],"captured":[70],"by":[71,150],"prior":[72],"works":[73],"on":[74],"codes.":[76,134,197],"To":[77],"obtain":[78],"results,":[80],"generalize":[82],"finite":[83,170],"block":[84,171],"length":[85],"achievability":[86,180],"converse":[88],"bounds":[89,96,112],"due":[90],"to":[91,128,192],"Polyanskiy-Poor-Verd\u00fa.":[92],"evaluate":[94],"for":[97],"binary":[99,102],"symmetric":[100],"erasure":[103],"channels,":[104],"asymptotic":[108],"characteristic":[109],"in":[113,162],"fixed":[115],"moderate":[118],"deviations":[119],"regimes.":[120],"In":[121],"addition,":[122],"consider":[124],"two":[125],"questions":[126],"related":[127],"practical":[130],"construction":[131,140,165],"First,":[135],"header":[139,148],"prefixes":[142],"into":[146],"followed":[149],"data":[151],"using":[153,185],"standard":[155],"homogeneous":[156],"(classical)":[157],"code.":[158],"show":[160],"that,":[161],"general,":[163],"this":[164],"optimal":[168],"at":[169],"lengths.":[172],"further":[174],"demonstrate":[175],"main":[178],"bound":[181],"can":[182],"be":[183],"obtained":[184],"coset":[186],"codes,":[187],"suggests":[189],"path":[191],"implementation":[193],"tractable":[195]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
