{"id":"https://openalex.org/W1919544878","doi":"https://doi.org/10.1109/isit.2015.7282611","title":"Error correcting index codes and matroids","display_name":"Error correcting index codes and matroids","publication_year":2015,"publication_date":"2015-06-01","ids":{"openalex":"https://openalex.org/W1919544878","doi":"https://doi.org/10.1109/isit.2015.7282611","mag":"1919544878"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2015.7282611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5082328744","display_name":"Anoop Thomas","orcid":"https://orcid.org/0000-0002-4294-0784"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":true,"raw_author_name":"Anoop Thomas","raw_affiliation_strings":["Dept. of ECE, IISc, Bangalore, India","Dept. of ECE, IISc Bangalore 560012, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, IISc, Bangalore, India","institution_ids":[]},{"raw_affiliation_string":"Dept. of ECE, IISc Bangalore 560012, India#TAB#","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015398340","display_name":"B. Sundar Rajan","orcid":"https://orcid.org/0000-0002-7847-0200"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"B. Sundar Rajan","raw_affiliation_strings":["Dept. of ECE, IISc, Bangalore, India","Dept. of ECE, IISc Bangalore 560012, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Dept. of ECE, IISc, Bangalore, India","institution_ids":[]},{"raw_affiliation_string":"Dept. of ECE, IISc Bangalore 560012, India#TAB#","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082328744"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.6656,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73412543,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"6","issue":null,"first_page":"1029","last_page":"1033"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9478999972343445,"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/matroid","display_name":"Matroid","score":0.8426166772842407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5481950044631958},{"id":"https://openalex.org/keywords/low-density-parity-check-code","display_name":"Low-density parity-check code","score":0.5474040508270264},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48529762029647827},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4628547728061676},{"id":"https://openalex.org/keywords/index","display_name":"Index (typography)","score":0.4608772099018097},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.42729124426841736},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4272356927394867},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.417336642742157},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.340433806180954},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19276124238967896},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12552690505981445}],"concepts":[{"id":"https://openalex.org/C106286213","wikidata":"https://www.wikidata.org/wiki/Q898572","display_name":"Matroid","level":2,"score":0.8426166772842407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5481950044631958},{"id":"https://openalex.org/C67692717","wikidata":"https://www.wikidata.org/wiki/Q187444","display_name":"Low-density parity-check code","level":3,"score":0.5474040508270264},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48529762029647827},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4628547728061676},{"id":"https://openalex.org/C2777382242","wikidata":"https://www.wikidata.org/wiki/Q6017816","display_name":"Index (typography)","level":2,"score":0.4608772099018097},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.42729124426841736},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4272356927394867},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.417336642742157},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.340433806180954},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19276124238967896},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12552690505981445},{"id":"https://openalex.org/C136764020","wikidata":"https://www.wikidata.org/wiki/Q466","display_name":"World Wide Web","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2015.7282611","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2015.7282611","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W785083160","https://openalex.org/W1757164770","https://openalex.org/W1919544878","https://openalex.org/W2013945717","https://openalex.org/W2014554046","https://openalex.org/W2072475112","https://openalex.org/W2083270107","https://openalex.org/W2109831419","https://openalex.org/W2123051422","https://openalex.org/W2133251572","https://openalex.org/W2171844485","https://openalex.org/W2571300684","https://openalex.org/W2949141898","https://openalex.org/W6637790516"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2540115800","https://openalex.org/W2167713507","https://openalex.org/W2034110706","https://openalex.org/W2113911300","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W832867880"],"abstract_inverted_index":{"The":[0],"connection":[1,22],"between":[2,23,125],"index":[3,31,44,62,75,116,121,129,142,154,167],"coding":[4,45,63],"and":[5,29,34,49,131,144,158],"matroid":[6],"theory":[7],"have":[8],"been":[9],"well":[10],"studied":[11],"in":[12,77,101],"the":[13],"recent":[14],"past.":[15],"El":[16],"Rouayheb":[17],"et":[18,71],"al.":[19],"established":[20],"a":[21,38,54,85,97,109,148,171],"multi":[24],"linear":[25,40,150],"representation":[26],"of":[27,88,112],"matroids":[28,133],"wireless":[30],"coding.":[32],"Muralidharan":[33],"Rajan":[35],"showed":[36],"that":[37,147],"vector":[39],"solution":[41],"to":[42,83,107],"an":[43],"problem":[46],"exists":[47,53,156],"if":[48,51,157,160],"only":[50,159],"there":[52],"representable":[55,172],"discrete":[56],"polymatroid":[57],"satisfying":[58],"certain":[59,132],"conditions.":[60],"Recently":[61],"with":[64,170],"erroneous":[65],"transmission":[66],"was":[67,90],"considered":[68],"by":[69],"Dau":[70],"al..":[72],"Error":[73],"correcting":[74,120,128,141,153,166],"codes":[76,117,130,143],"which":[78,102],"all":[79],"receivers":[80],"are":[81],"able":[82,106],"correct":[84,108],"fixed":[86],"number":[87,111],"errors":[89],"studied.":[91],"In":[92],"this":[93],"paper":[94],"we":[95,145],"consider":[96],"more":[98],"general":[99],"scenario":[100],"each":[103],"receiver":[104],"is":[105,134,162],"desired":[110],"errors,":[113],"calling":[114],"such":[115],"differential":[118,126,139,151,164],"error":[119,127,140,152,165],"codes.":[122],"A":[123],"link":[124],"established.":[135],"We":[136],"define":[137],"matroidal":[138,163],"show":[146],"scalar":[149],"code":[155,168],"it":[161],"associated":[169],"matroid.":[173]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
