{"id":"https://openalex.org/W2035704085","doi":"https://doi.org/10.1109/tit.2010.2080610","title":"Maximal Recovery Network Coding Under Topology Constraint","display_name":"Maximal Recovery Network Coding Under Topology Constraint","publication_year":2010,"publication_date":"2010-11-30","ids":{"openalex":"https://openalex.org/W2035704085","doi":"https://doi.org/10.1109/tit.2010.2080610","mag":"2035704085"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2080610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2080610","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/A5007256849","display_name":"Kiran Misra","orcid":"https://orcid.org/0000-0002-0551-2705"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Kiran Misra","raw_affiliation_strings":["Advanced Video and Display Technology Group, Sharp Laboratories of America, Inc.orporated, Camas, WA, USA","Adv. Video & Display Technol. Group, Sharp Labs. of America, Camas, WA, USA"],"affiliations":[{"raw_affiliation_string":"Advanced Video and Display Technology Group, Sharp Laboratories of America, Inc.orporated, Camas, WA, USA","institution_ids":[]},{"raw_affiliation_string":"Adv. Video & Display Technol. Group, Sharp Labs. of America, Camas, WA, USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071297635","display_name":"Shirish Karande","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shirish Karande","raw_affiliation_strings":["Tata Research Development and Design Centre, Pune, India","Tata Res. Dev. & Design Centre, Pune, India"],"affiliations":[{"raw_affiliation_string":"Tata Research Development and Design Centre, Pune, India","institution_ids":[]},{"raw_affiliation_string":"Tata Res. Dev. & Design Centre, Pune, India","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015107642","display_name":"Hayder Radha","orcid":null},"institutions":[{"id":"https://openalex.org/I87216513","display_name":"Michigan State University","ror":"https://ror.org/05hs6h993","country_code":"US","type":"education","lineage":["https://openalex.org/I87216513"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hayder Radha","raw_affiliation_strings":["Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI, USA","Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical and Computer Engineering, Michigan State University, East Lansing, MI, USA","institution_ids":["https://openalex.org/I87216513"]},{"raw_affiliation_string":"Dept. of Electr. & Comput. Eng., Michigan State Univ., East Lansing, MI, USA#TAB#","institution_ids":["https://openalex.org/I87216513"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5007256849"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.14156498,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"56","issue":"12","first_page":"6317","last_page":"6331"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998999834060669,"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":0.9998999834060669,"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/T11158","display_name":"Wireless Networks and Protocols","score":0.9861999750137329,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9829999804496765,"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/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.6700514554977417},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6447681188583374},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.621038019657135},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.5915085077285767},{"id":"https://openalex.org/keywords/wireless-sensor-network","display_name":"Wireless sensor network","score":0.5628932118415833},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5101085305213928},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5012481212615967},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.468642920255661},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.4664933681488037},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.46507665514945984},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4394574463367462},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.422943115234375},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.42078274488449097},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4207334816455841},{"id":"https://openalex.org/keywords/source-code","display_name":"Source code","score":0.41259878873825073},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.41249316930770874},{"id":"https://openalex.org/keywords/code-rate","display_name":"Code rate","score":0.4117547273635864},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.33874544501304626},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2938362956047058},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.21363437175750732},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.1729925274848938},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.11959448456764221},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.1073421835899353},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.10311698913574219}],"concepts":[{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.6700514554977417},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6447681188583374},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.621038019657135},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.5915085077285767},{"id":"https://openalex.org/C24590314","wikidata":"https://www.wikidata.org/wiki/Q336038","display_name":"Wireless sensor network","level":2,"score":0.5628932118415833},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5101085305213928},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5012481212615967},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.468642920255661},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.4664933681488037},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.46507665514945984},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4394574463367462},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.422943115234375},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.42078274488449097},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4207334816455841},{"id":"https://openalex.org/C43126263","wikidata":"https://www.wikidata.org/wiki/Q128751","display_name":"Source code","level":2,"score":0.41259878873825073},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.41249316930770874},{"id":"https://openalex.org/C206468330","wikidata":"https://www.wikidata.org/wiki/Q834373","display_name":"Code rate","level":3,"score":0.4117547273635864},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.33874544501304626},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2938362956047058},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.21363437175750732},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.1729925274848938},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.11959448456764221},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.1073421835899353},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.10311698913574219},{"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C46462455","wikidata":"https://www.wikidata.org/wiki/Q5395712","display_name":"Error floor","level":4,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2010.2080610","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2080610","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":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W11945398","https://openalex.org/W32262330","https://openalex.org/W1535692381","https://openalex.org/W1595159159","https://openalex.org/W1640541562","https://openalex.org/W1966612101","https://openalex.org/W2048235391","https://openalex.org/W2052627089","https://openalex.org/W2084320077","https://openalex.org/W2105831729","https://openalex.org/W2107985128","https://openalex.org/W2122672025","https://openalex.org/W2125069315","https://openalex.org/W2127490352","https://openalex.org/W2128765501","https://openalex.org/W2129824524","https://openalex.org/W2136448923","https://openalex.org/W2137686844","https://openalex.org/W2137775453","https://openalex.org/W2138928022","https://openalex.org/W2141523717","https://openalex.org/W2142932634","https://openalex.org/W2147535294","https://openalex.org/W2149185827","https://openalex.org/W2149863032","https://openalex.org/W2152706422","https://openalex.org/W2159080219","https://openalex.org/W2160568005","https://openalex.org/W2162697911","https://openalex.org/W2164328519","https://openalex.org/W2165418574","https://openalex.org/W2169732368","https://openalex.org/W2296125569","https://openalex.org/W3105201570","https://openalex.org/W4249708694","https://openalex.org/W4251120214","https://openalex.org/W4300188436","https://openalex.org/W6600505904","https://openalex.org/W6636780160","https://openalex.org/W6663682837","https://openalex.org/W6681054792"],"related_works":["https://openalex.org/W2744779861","https://openalex.org/W2158669549","https://openalex.org/W2149057203","https://openalex.org/W1971149437","https://openalex.org/W2049418428","https://openalex.org/W2053950481","https://openalex.org/W2964092494","https://openalex.org/W4294811123","https://openalex.org/W1521979079","https://openalex.org/W2105667212"],"abstract_inverted_index":{"Network":[0],"coding":[1],"(NC)":[2],"within":[3,22,40],"wireless":[4],"sensor":[5],"networks":[6],"(WSNs)":[7],"can":[8,32,79],"be":[9,33,80,180],"viewed":[10],"as":[11,190,192],"the":[12,19,23,65,166,173],"mapping":[13],"of":[14,29,73,161,172],"efficient":[15],"channel":[16],"codes":[17],"to":[18,35,45,109,116,165,179,182,194],"data":[20,38],"generated":[21,39],"network.":[24],"In":[25,87],"particular,":[26],"this":[27,88],"perspective":[28],"code-on-network-graphs":[30],"(CNG)":[31],"exploited":[34],"map":[36],"source":[37,77],"WSN":[41,142],"(of":[42],"size":[43,59,196],"K)":[44],"a":[46,141,154,159],"variable":[47],"nodes":[48,145],"subset":[49],"in":[50],"low-density":[51],"parity":[52],"check":[53],"(LDPC)":[54],"codes.":[55],"The":[56,170],"resulting":[57],"fixed":[58],"symbol":[60],"stream":[61],"when":[62],"transmitted":[63],"through":[64],"network":[66,105,195],"suffers":[67],"erasures.":[68],"At":[69],"sink,":[70],"an":[71],"average":[72],"<i":[74],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[75],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">z</i>":[76],"symbols":[78,163],"recovered":[81],"by":[82],"employing":[83],"belief":[84],"propagation":[85],"decoding.":[86],"paper,":[89],"we":[90],"determine":[91],"CNG":[92,175],"code":[93,118,130,168,176,187],"ensembles":[94],"that":[95],"achieve":[96],"maximal":[97],"recovery":[98],"(z/K)":[99],"for":[100,129,140,157],"different":[101],"erasure":[102],"rates":[103],"and":[104,185,197],"topological":[106],"constraints":[107,123],"corresponding":[108],"node":[110],"transmission":[111,121],"range.":[112],"An":[113],"analytic":[114],"framework":[115],"predict":[117],"performance":[119,171],"under":[120],"range":[122],"is":[124,177],"developed.":[125],"Additionally,":[126],"necessary":[127],"condition":[128],"stability":[131,136],"was":[132],"derived":[133],"using":[134,148],"fixed-point":[135],"analysis.":[137],"Optimal":[138],"solutions":[139],"with":[143],"1000":[144],"are":[146],"determined":[147],"differential":[149],"evolution":[150],"algorithm.":[151],"We":[152],"outline":[153],"distributed":[155],"algorithm":[156],"generating":[158],"sequence":[160],"encoded":[162],"adhering":[164],"designed":[167,174],"ensemble.":[169],"demonstrated":[178],"superior":[181],"random":[183],"NC":[184],"growth":[186],"based":[188],"ensembles,":[189],"well":[191],"resilient":[193],"inter-connectivity":[198],"variations.":[199]},"counts_by_year":[{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}