{"id":"https://openalex.org/W2035067291","doi":"https://doi.org/10.1109/ncc.2015.7084870","title":"On linear subspace codes closed under intersection","display_name":"On linear subspace codes closed under intersection","publication_year":2015,"publication_date":"2015-02-01","ids":{"openalex":"https://openalex.org/W2035067291","doi":"https://doi.org/10.1109/ncc.2015.7084870","mag":"2035067291"},"language":"en","primary_location":{"id":"doi:10.1109/ncc.2015.7084870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ncc.2015.7084870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Twenty First National Conference on Communications (NCC)","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/A5055757663","display_name":"Pranab Basu","orcid":null},"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":"Pranab Basu","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","Dept. of Electrical Communication Eng., Indian Institute of Science, Bangalore, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Dept. of Electrical Communication Eng., Indian Institute of Science, Bangalore, India#TAB#","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059452861","display_name":"Navin Kashyap","orcid":null},"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":"Navin Kashyap","raw_affiliation_strings":["Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","Dept. of Electrical Communication Eng., Indian Institute of Science, Bangalore, India#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communication Engineering, Indian Institute of Science, Bangalore","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Dept. of Electrical Communication Eng., Indian Institute of Science, Bangalore, India#TAB#","institution_ids":["https://openalex.org/I59270414"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5055757663"],"corresponding_institution_ids":["https://openalex.org/I59270414"],"apc_list":null,"apc_paid":null,"fwci":0.3498,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.66636367,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"6"},"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9477999806404114,"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/T12791","display_name":"Full-Duplex Wireless Communications","score":0.9003999829292297,"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/linear-subspace","display_name":"Linear subspace","score":0.6844978332519531},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6199129223823547},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.5967191457748413},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5716491341590881},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5164432525634766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4781133532524109},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3591163158416748},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33602267503738403},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.29316985607147217},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1784552037715912},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.12221226096153259}],"concepts":[{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.6844978332519531},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6199129223823547},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.5967191457748413},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5716491341590881},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5164432525634766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4781133532524109},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3591163158416748},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33602267503738403},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.29316985607147217},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1784552037715912},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.12221226096153259},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/ncc.2015.7084870","is_oa":false,"landing_page_url":"https://doi.org/10.1109/ncc.2015.7084870","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 Twenty First National Conference on Communications (NCC)","raw_type":"proceedings-article"},{"id":"pmh:oai:eprints.iisc.ac.in:54560","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Proceedings"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1554064428","https://openalex.org/W1568510176","https://openalex.org/W1606480398","https://openalex.org/W1811362484","https://openalex.org/W2008733023","https://openalex.org/W2036324815","https://openalex.org/W2049948530","https://openalex.org/W2095418648","https://openalex.org/W2098313715","https://openalex.org/W2139416652","https://openalex.org/W2155398259","https://openalex.org/W2158464899","https://openalex.org/W2298931324","https://openalex.org/W3103260357","https://openalex.org/W3106172892","https://openalex.org/W6636396655"],"related_works":["https://openalex.org/W3100286349","https://openalex.org/W2896134808","https://openalex.org/W4289378085","https://openalex.org/W4294291164","https://openalex.org/W3172436493","https://openalex.org/W1887135636","https://openalex.org/W4287164812","https://openalex.org/W2386063599","https://openalex.org/W1975884855","https://openalex.org/W3213150849"],"abstract_inverted_index":{"Subspace":[0],"codes":[1,38,53,97,104,128],"are":[2,39,99],"subsets":[3,136],"of":[4,17,20,68,111,114,126,131,133,137],"the":[5,15,21,65,91,106,109],"projective":[6],"space":[7,23],"P":[8,74],"<sub":[9,25,75,139],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,26,29,76,82,140,143],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[11,27,77,141],"(n),":[12],"which":[13],"is":[14,79,116,122],"set":[16],"all":[18],"subspaces":[19],"vector":[22],"F":[24,138],"<sup":[28,81,142],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</sup>":[30,83,144],".":[31,84,145],"Koetter":[32],"and":[33,43,59,61],"Kschischang":[34],"argued":[35],"that":[36,64,90,98,108],"subspace":[37,52,71,96],"useful":[40],"for":[41,94],"error":[42],"erasure":[44],"correction":[45],"in":[46,51,73,129],"random":[47],"network":[48],"coding.":[49],"Linearity":[50],"was":[54],"defined":[55],"by":[56],"Braun,":[57],"Etzion":[58],"Vardy,":[60],"they":[62],"conjectured":[63],"largest":[66],"cardinality":[67],"a":[69,118,124],"linear":[70,95],"code":[72],"(n)":[78],"2":[80],"In":[85],"this":[86],"paper,":[87],"we":[88],"show":[89],"conjecture":[92],"holds":[93],"closed":[100],"under":[101],"intersection,":[102],"i.e.,":[103],"having":[105],"property":[107],"intersection":[110],"any":[112],"pair":[113],"codewords":[115],"also":[117],"codeword.":[119],"The":[120],"proof":[121],"via":[123],"characterization":[125],"such":[127],"terms":[130],"partitions":[132],"linearly":[134],"independent":[135]},"counts_by_year":[{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
