{"id":"https://openalex.org/W2129720431","doi":"https://doi.org/10.1109/isit.2009.5205948","title":"Perfect secrecy, perfect omniscience and steiner tree packing","display_name":"Perfect secrecy, perfect omniscience and steiner tree packing","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2129720431","doi":"https://doi.org/10.1109/isit.2009.5205948","mag":"2129720431"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2009.5205948","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205948","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","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/A5011106798","display_name":"Sirin Nitinawarat","orcid":"https://orcid.org/0000-0002-4996-4949"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Nitinawarat","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5004622357","display_name":"Alexander Barg","orcid":"https://orcid.org/0000-0002-8972-4413"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Barg","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102896474","display_name":"Prakash Narayan","orcid":"https://orcid.org/0000-0002-0710-6305"},"institutions":[{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"P. Narayan","raw_affiliation_strings":["Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering and Institute of Systems Research, University of Maryland, College Park, MD, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"[Department of Electrical and Computer Engineering and Institute for Systems Research, University of Maryland, College Park, 20742, USA]","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110329230","display_name":"Cui Jian ye","orcid":null},"institutions":[{"id":"https://openalex.org/I36326968","display_name":"InterDigital (United States)","ror":"https://ror.org/02w335z67","country_code":"US","type":"company","lineage":["https://openalex.org/I36326968"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. Ye","raw_affiliation_strings":["InterDigital, Inc., King of Prussia, PA, USA","Interdigital Inc., King of Prussia, PA 19406, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"InterDigital, Inc., King of Prussia, PA, USA","institution_ids":["https://openalex.org/I36326968"]},{"raw_affiliation_string":"Interdigital Inc., King of Prussia, PA 19406, USA","institution_ids":["https://openalex.org/I36326968"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102866059","display_name":"A. L. Reznik","orcid":null},"institutions":[{"id":"https://openalex.org/I36326968","display_name":"InterDigital (United States)","ror":"https://ror.org/02w335z67","country_code":"US","type":"company","lineage":["https://openalex.org/I36326968"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"A. Reznik","raw_affiliation_strings":["InterDigital, Inc., King of Prussia, PA, USA","Interdigital Inc., King of Prussia, PA 19406, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"InterDigital, Inc., King of Prussia, PA, USA","institution_ids":["https://openalex.org/I36326968"]},{"raw_affiliation_string":"Interdigital Inc., King of Prussia, PA 19406, USA","institution_ids":["https://openalex.org/I36326968"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":"52","issue":null,"first_page":"1288","last_page":"1292"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10964","display_name":"Wireless Communication Security Techniques","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9983999729156494,"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":0.9972000122070312,"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/secrecy","display_name":"Secrecy","score":0.7687445878982544},{"id":"https://openalex.org/keywords/omniscience","display_name":"Omniscience","score":0.6852322220802307},{"id":"https://openalex.org/keywords/information-theoretic-security","display_name":"Information-theoretic security","score":0.6087042093276978},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5751639604568481},{"id":"https://openalex.org/keywords/steiner-tree-problem","display_name":"Steiner tree problem","score":0.568448543548584},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5125767588615417},{"id":"https://openalex.org/keywords/key-generation","display_name":"Key generation","score":0.5060507655143738},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.4798833429813385},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47635817527770996},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.41827359795570374},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.40075212717056274},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3770473003387451},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3524555265903473},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.2168407440185547},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.18236592411994934},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.13862282037734985}],"concepts":[{"id":"https://openalex.org/C2776452267","wikidata":"https://www.wikidata.org/wiki/Q1503443","display_name":"Secrecy","level":2,"score":0.7687445878982544},{"id":"https://openalex.org/C2776127325","wikidata":"https://www.wikidata.org/wiki/Q1424662","display_name":"Omniscience","level":2,"score":0.6852322220802307},{"id":"https://openalex.org/C47191418","wikidata":"https://www.wikidata.org/wiki/Q3510462","display_name":"Information-theoretic security","level":3,"score":0.6087042093276978},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5751639604568481},{"id":"https://openalex.org/C76220878","wikidata":"https://www.wikidata.org/wiki/Q1764144","display_name":"Steiner tree problem","level":2,"score":0.568448543548584},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5125767588615417},{"id":"https://openalex.org/C163173736","wikidata":"https://www.wikidata.org/wiki/Q3308558","display_name":"Key generation","level":3,"score":0.5060507655143738},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.4798833429813385},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47635817527770996},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.41827359795570374},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.40075212717056274},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3770473003387451},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3524555265903473},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.2168407440185547},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.18236592411994934},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.13862282037734985},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C27206212","wikidata":"https://www.wikidata.org/wiki/Q34178","display_name":"Theology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2009.5205948","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2009.5205948","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1573746785","https://openalex.org/W2005962614","https://openalex.org/W2042706982","https://openalex.org/W2058858486","https://openalex.org/W2082591111","https://openalex.org/W2092741549","https://openalex.org/W2106833918","https://openalex.org/W2108777864","https://openalex.org/W2144387589","https://openalex.org/W2154832352","https://openalex.org/W2160348245","https://openalex.org/W2161081468","https://openalex.org/W2163497720","https://openalex.org/W2166566585","https://openalex.org/W2540403676","https://openalex.org/W2568947143"],"related_works":["https://openalex.org/W3001843836","https://openalex.org/W2114007974","https://openalex.org/W2150528942","https://openalex.org/W2022046490","https://openalex.org/W2154832352","https://openalex.org/W1483037127","https://openalex.org/W2898567960","https://openalex.org/W4387963661","https://openalex.org/W2340481533","https://openalex.org/W2036210457"],"abstract_inverted_index":{"We":[0],"investigate":[1],"perfect":[2,72,97,114,126,132,162,191,197],"secret":[3,73,94,127,133,150],"key":[4,74,128,134,151],"generation":[5,193],"for":[6,113,161,172,196,199],"a":[7,45,71,77,121,165,182],"\u00bfpairwise":[8],"independent":[9,23,202],"network\u00bf":[10],"model":[11],"in":[12,41,91,181],"which":[13,117],"every":[14],"pair":[15],"of":[16,24,31,49,80,111,124,159,176],"terminals":[17,34,59,81,89],"observes":[18],"correlated":[19],"sources":[20,25],"that":[21],"are":[22,35],"observed":[26,55],"by":[27,56,63,76,141],"all":[28,57],"other":[29],"pairs":[30],"terminals.":[32],"The":[33,66],"then":[36],"allowed":[37],"to":[38,69,138],"communicate":[39],"interactively":[40],"multiple":[42],"rounds":[43],"over":[44],"public":[46],"noiseless":[47],"channel":[48],"unlimited":[50],"capacity.":[51,129,152],"This":[52],"communication":[53,112,160,195],"is":[54,68,136,164],"the":[58,83,88,93,102,109,125,148,157,173,200],"as":[60,62],"well":[61],"an":[64],"eavesdropper.":[65,103],"objective":[67],"generate":[70],"shared":[75],"given":[78],"set":[79],"at":[82],"largest":[84],"rate":[85],"possible.":[86],"All":[87],"cooperate":[90],"generating":[92],"key,":[95],"with":[96,147],"secrecy":[98,192],"being":[99],"required":[100],"from":[101],"For":[104],"this":[105,131],"model,":[106,204],"we":[107,118],"introduce":[108],"concept":[110],"omniscience":[115,198],"using":[116],"first":[119],"obtain":[120],"single-letter":[122],"characterization":[123],"Moreover,":[130],"capacity":[135],"shown":[137],"be":[139],"achieved":[140],"linear":[142],"noninteractive":[143],"communication,":[144],"and":[145,168,194,205],"coincides":[146],"(standard)":[149],"Our":[153],"second":[154],"contribution,":[155],"exploiting":[156],"notion":[158],"omniscience,":[163],"new":[166],"nonasymptotic":[167],"computable":[169],"upper":[170],"bound":[171],"combinatorial":[174],"problem":[175],"maximal":[177],"Steiner":[178,206],"tree":[179,207],"packing":[180],"multigraph.":[183],"Thus,":[184],"our":[185],"work":[186],"establishes":[187],"certain":[188],"connections":[189],"among":[190],"pairwise":[201],"network":[203],"packing.":[208]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}