{"id":"https://openalex.org/W67291757","doi":null,"title":"On Randomized Network Coding","display_name":"On Randomized Network Coding","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W67291757","mag":"67291757"},"language":"en","primary_location":{"id":"pmh:oai:www.ideals.illinois.edu:2142/131562","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/131562","pdf_url":"https://www.ideals.illinois.edu/items/138563/bitstreams/449468/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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"},"volume":null,"type":"conference-paper","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://www.ideals.illinois.edu/items/138563/bitstreams/449468/data.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102899447","display_name":"T. Ho","orcid":"https://orcid.org/0009-0009-6551-1921","observed_orcids":["https://orcid.org/0009-0009-6551-1921"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tracey Ho","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075370174","display_name":"Muriel M\u00e9dard","orcid":"https://orcid.org/0000-0003-4059-407X","observed_orcids":["https://orcid.org/0000-0003-4059-407X"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Muriel M\u00e9dard","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111631619","display_name":"Jun Shi","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jun Shi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001054791","display_name":"Michelle Effros","orcid":"https://orcid.org/0000-0003-3757-0675","observed_orcids":["https://orcid.org/0000-0003-3757-0675"]},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michelle Effros","raw_affiliation_strings":["University of California\u2013Los Angeles"],"raw_orcid":"https://orcid.org/0000-0003-3757-0675","affiliations":[{"raw_affiliation_string":"University of California\u2013Los Angeles","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028448267","display_name":"David Ron Karger","orcid":"https://orcid.org/0000-0002-0024-5847","observed_orcids":["https://orcid.org/0000-0002-0024-5847"]},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"David R. Karger","raw_affiliation_strings":["California  Institute of Technology"],"raw_orcid":"https://orcid.org/0000-0002-0024-5847","affiliations":[{"raw_affiliation_string":"California  Institute of Technology","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.5675,"has_fulltext":true,"cited_by_count":529,"citation_normalized_percentile":{"value":0.98484286,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":100},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9916999936103821,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9916999936103821,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.0019000000320374966,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.001500000013038516,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multicast","display_name":"multicast","score":0.7749999761581421},{"id":"https://openalex.org/keywords/error-probability-bounds","display_name":"error probability bounds","score":0.7490000128746033},{"id":"https://openalex.org/keywords/cyclic-networks","display_name":"cyclic networks","score":0.6299999952316284},{"id":"https://openalex.org/keywords/delay","display_name":"delay","score":0.4300000071525574},{"id":"https://openalex.org/keywords/network-flow","display_name":"network flow","score":0.7409999966621399},{"id":"https://openalex.org/keywords/unreliable-links","display_name":"unreliable links","score":0.9340000152587891},{"id":"https://openalex.org/keywords/link-redundancy","display_name":"link redundancy","score":0.7910000085830688},{"id":"https://openalex.org/keywords/success-probability-bounds","display_name":"success probability bounds","score":0.6299999952316284}],"concepts":[{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.8919254541397095},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6711643934249878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5047580003738403},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.4982142448425293},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4944891929626465},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.45749080181121826},{"id":"https://openalex.org/C74197172","wikidata":"https://www.wikidata.org/wiki/Q1195339","display_name":"Directed acyclic graph","level":2,"score":0.44327303767204285},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.42778488993644714},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4118436574935913},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3274821937084198},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3016163110733032},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.23776289820671082},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1280767321586609},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"pmh:oai:www.ideals.illinois.edu:2142/131562","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/131562","pdf_url":"https://www.ideals.illinois.edu/items/138563/bitstreams/449468/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.58.1873","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.58.1873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.mit.edu/trace/www/allerton.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.73.2773","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.73.2773","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://web.mit.edu/medard/www/allerton3.pdf","raw_type":"text"},{"id":"mag:67291757","doi":null,"is_oa":false,"landing_page_url":"https://www.mit.edu/~medard/page2/allerton3.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"pmh:oai:www.ideals.illinois.edu:2142/131562","doi":null,"is_oa":true,"landing_page_url":"https://hdl.handle.net/2142/131562","pdf_url":"https://www.ideals.illinois.edu/items/138563/bitstreams/449468/data.pdf","source":{"id":"https://openalex.org/S4306401358","display_name":"Illinois Digital Environment for Access to Learning and Scholarship (University of Illinois at Urbana-Champaign)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I2801919071","host_organization_name":"University of Illinois System","host_organization_lineage":["https://openalex.org/I2801919071"],"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"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320332815","display_name":"Advanced Research Projects Agency","ror":"https://ror.org/02caytj08"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W67291757.pdf","grobid_xml":"https://content.openalex.org/works/W67291757.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2090164156","https://openalex.org/W2105781905","https://openalex.org/W2105831729","https://openalex.org/W2106403318","https://openalex.org/W2130350209","https://openalex.org/W2138928022","https://openalex.org/W2153049854"],"related_works":["https://openalex.org/W7095344328","https://openalex.org/W2079655802","https://openalex.org/W2187292826","https://openalex.org/W2756020742","https://openalex.org/W7097419956","https://openalex.org/W1964750514","https://openalex.org/W2048235391","https://openalex.org/W2139608292","https://openalex.org/W1813135919","https://openalex.org/W2012291662"],"abstract_inverted_index":{"We":[0,97],"consider":[1],"a":[2,13,45,73,105,117,128],"randomized":[3,133],"network":[4,79,82,119,134],"coding":[5,59,80,135],"approach":[6,33],"for":[7,41,100,132],"multicasting":[8],"from":[9,24],"several":[10],"sources":[11],"over":[12,29],"network,":[14,104],"in":[15,37,50,75,108,116,136,142],"which":[16,39],"nodes":[17],"independently":[18],"and":[19,57,95,148],"randomly":[20],"select":[21],"linear":[22],"mappings":[23],"inputs":[25],"onto":[26],"output":[27,60],"links":[28],"some":[30],"field.":[31],"This":[32],"was":[34,70],"first":[35],"described":[36],"[3],":[38],"gave,":[40],"acyclic":[42,103],"delay-free":[43],"networks,":[44],"bound":[46,107,131],"on":[47,72],"error":[48],"probability,":[49],"terms":[51,109,143],"of":[52,55,110,113,144,150],"the":[53,111],"number":[54],"receivers":[56],"random":[58],"links,":[61,141],"that":[62],"decreases":[63],"exponentially":[64],"with":[65,93,121,139],"code":[66],"length.":[67],"The":[68],"proof":[69],"based":[71],"result":[74],"[2]":[76],"relating":[77],"algebraic":[78],"to":[81,91],"flows.":[83],"In":[84],"this":[85,125],"paper,":[86],"we":[87,126],"generalize":[88],"these":[89],"results":[90],"networks":[92,138],"cycles":[94],"delay.":[96],"also":[98],"show,":[99],"any":[101],"given":[102],"tighter":[106],"probability":[112,130,147],"connection":[114],"feasibility":[115],"related":[118],"problem":[120],"unreliable":[122,140],"links.":[123],"From":[124],"obtain":[127],"success":[129],"link-redundant":[137],"link":[145],"failure":[146],"amount":[149],"redundancy.":[151],"1":[152]},"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":10},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":16},{"year":2017,"cited_by_count":12},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":19},{"year":2014,"cited_by_count":48},{"year":2013,"cited_by_count":34},{"year":2012,"cited_by_count":41}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}