{"id":"https://openalex.org/W2755660671","doi":"https://doi.org/10.1109/itw.2017.8277983","title":"Codes for erasures over directed graphs","display_name":"Codes for erasures over directed graphs","publication_year":2017,"publication_date":"2017-11-01","ids":{"openalex":"https://openalex.org/W2755660671","doi":"https://doi.org/10.1109/itw.2017.8277983","mag":"2755660671"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2017.8277983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1709.04701","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5021807317","display_name":"Lev Yohananov","orcid":"https://orcid.org/0000-0003-3151-6192"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Lev Yohananov","raw_affiliation_strings":["Dept. of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion , Israel Institute of Technology, Haifa, 32000, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion , Israel Institute of Technology, Haifa, 32000, Israel#TAB#","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021586372","display_name":"Eitan Yaakobi","orcid":"https://orcid.org/0000-0002-9851-5234"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eitan Yaakobi","raw_affiliation_strings":["Dept. of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","Department of Computer Science, Technion , Israel Institute of Technology, Haifa, 32000, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of Computer Science, Technion-Israel Institute of Technology, Haifa, Israel","institution_ids":["https://openalex.org/I174306211"]},{"raw_affiliation_string":"Department of Computer Science, Technion , Israel Institute of Technology, Haifa, 32000, Israel#TAB#","institution_ids":["https://openalex.org/I174306211"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5021807317"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":null,"apc_paid":null,"fwci":0.23585868,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56955327,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"116","last_page":"120"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9997000098228455,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9997000098228455,"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/T11478","display_name":"Caching and Content Delivery","score":0.996999979019165,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9860000014305115,"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/erasure-code","display_name":"Erasure code","score":0.599061906337738},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5972016453742981},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5495088696479797},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4885135889053345},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4841807186603546},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.41829100251197815},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.4164807200431824},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.4139013886451721},{"id":"https://openalex.org/keywords/luby-transform-code","display_name":"Luby transform code","score":0.4111090302467346},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3973742127418518},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3446950316429138},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3287183940410614},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3140610456466675},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21926239132881165},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.16583308577537537},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07509756088256836}],"concepts":[{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.599061906337738},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5972016453742981},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5495088696479797},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4885135889053345},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4841807186603546},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.41829100251197815},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.4164807200431824},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.4139013886451721},{"id":"https://openalex.org/C128151799","wikidata":"https://www.wikidata.org/wiki/Q13563306","display_name":"Luby transform code","level":5,"score":0.4111090302467346},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3973742127418518},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3446950316429138},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3287183940410614},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3140610456466675},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21926239132881165},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.16583308577537537},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07509756088256836},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/itw.2017.8277983","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2017.8277983","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1709.04701","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.04701","pdf_url":"https://arxiv.org/pdf/1709.04701","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2755660671","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1709.04701","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1709.04701","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1709.04701","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1709.04701","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1709.04701","pdf_url":"https://arxiv.org/pdf/1709.04701","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2755660671.pdf"},"referenced_works_count":5,"referenced_works":["https://openalex.org/W1993359877","https://openalex.org/W2022444977","https://openalex.org/W2105185344","https://openalex.org/W2613496859","https://openalex.org/W2964083411"],"related_works":["https://openalex.org/W2964015492","https://openalex.org/W2815464092","https://openalex.org/W3188120190","https://openalex.org/W2099481626","https://openalex.org/W2553834352","https://openalex.org/W2220346341","https://openalex.org/W3186151750","https://openalex.org/W2951975749","https://openalex.org/W2072725624","https://openalex.org/W2184071940","https://openalex.org/W2443792121","https://openalex.org/W1410194834","https://openalex.org/W2152825027","https://openalex.org/W1762516079","https://openalex.org/W3102868240","https://openalex.org/W2346899677","https://openalex.org/W2950623994","https://openalex.org/W47932560","https://openalex.org/W2803380795","https://openalex.org/W2963173231"],"abstract_inverted_index":{"In":[0,123],"this":[1],"work":[2],"we":[3,18,41],"continue":[4],"the":[5,23,28,59,78,85,88,91,102,113,116,129],"study":[6],"of":[7,11,30,44,50,80,87,93,118,131,146],"a":[8,31,66,71,143],"new":[9],"class":[10],"codes,":[12],"called":[13],"\\emph{codes":[14],"over":[15,68,120,135],"graphs}.":[16],"Here":[17],"consider":[19,42],"storage":[20],"systems":[21],"where":[22],"information":[24],"is":[25,43,63,70,97,105,115,128],"stored":[26],"on":[27],"edges":[29],"complete":[32],"directed":[33],"graph":[34],"with":[35,142],"$n$":[36],"nodes.":[37,147],"The":[38],"failure":[39,79],"model":[40],"\\emph{node":[45],"failures}":[46],"which":[47,137],"are":[48],"erasures":[49],"all":[51],"edges,":[52],"both":[53],"incoming":[54],"and":[55],"outgoing,":[56],"connected":[57],"to":[58],"failed":[60],"node.":[61],"It":[62],"said":[64],"that":[65],"code":[67],"graphs":[69,86,136],"\\textit{$\u03c1$-node-erasure-correcting":[72],"code}":[73],"if":[74,101],"it":[75],"can":[76],"correct":[77,138],"any":[81],"$\u03c1$":[82],"nodes":[83],"in":[84,112],"code.":[89],"While":[90],"construction":[92,117,130],"such":[94],"optimal":[95,132],"codes":[96,119,134],"an":[98],"easy":[99],"task":[100],"field":[103],"size":[104],"${\\cal":[106],"O}":[107],"(n^2)$,":[108],"our":[109,125],"main":[110,126],"goal":[111],"paper":[114],"smaller":[121],"fields.":[122],"particular,":[124],"result":[127],"binary":[133],"two":[139],"node":[140],"failures":[141],"prime":[144],"number":[145]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-02-09T09:26:11.010843","created_date":"2025-10-10T00:00:00"}