{"id":"https://openalex.org/W2007783489","doi":"https://doi.org/10.1109/icumt.2013.6798422","title":"The Kronecker space-time MIMO network code","display_name":"The Kronecker space-time MIMO network code","publication_year":2013,"publication_date":"2013-09-01","ids":{"openalex":"https://openalex.org/W2007783489","doi":"https://doi.org/10.1109/icumt.2013.6798422","mag":"2007783489"},"language":"en","primary_location":{"id":"doi:10.1109/icumt.2013.6798422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2013.6798422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 5th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5090804957","display_name":"M. A. V\u00e1zquez\u2010Castro","orcid":"https://orcid.org/0000-0002-6292-7149"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"M. A. Vazquez-Castro","raw_affiliation_strings":["Dept. of Telecommunications and Systems Engineering, Universitat Autonoma de Barcelona, Barcelona, Spain","Dept. of Telecommun. & Syst. Eng., Univ. Autonoma de Barcelona, Bellaterra, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Telecommunications and Systems Engineering, Universitat Autonoma de Barcelona, Barcelona, Spain","institution_ids":["https://openalex.org/I123044942"]},{"raw_affiliation_string":"Dept. of Telecommun. & Syst. Eng., Univ. Autonoma de Barcelona, Bellaterra, Spain","institution_ids":["https://openalex.org/I123044942"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5090804957"],"corresponding_institution_ids":["https://openalex.org/I123044942"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"164","last_page":"170"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":1.0,"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":1.0,"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":0.9886000156402588,"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/T11130","display_name":"Coding theory and cryptography","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/linear-network-coding","display_name":"Linear network coding","score":0.6663362979888916},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.628821074962616},{"id":"https://openalex.org/keywords/space\u2013time-code","display_name":"Space\u2013time code","score":0.6120678186416626},{"id":"https://openalex.org/keywords/repetition-code","display_name":"Repetition code","score":0.6056903600692749},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5689042210578918},{"id":"https://openalex.org/keywords/binary-erasure-channel","display_name":"Binary erasure channel","score":0.5024282932281494},{"id":"https://openalex.org/keywords/mimo","display_name":"MIMO","score":0.48983094096183777},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4361554980278015},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.411823570728302},{"id":"https://openalex.org/keywords/linear-subspace","display_name":"Linear subspace","score":0.41147828102111816},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4080931544303894},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.37131381034851074},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3587590456008911},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3446164131164551},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.33612650632858276},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.30193179845809937},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.21175330877304077},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.19906264543533325},{"id":"https://openalex.org/keywords/channel-capacity","display_name":"Channel capacity","score":0.18524417281150818}],"concepts":[{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.6663362979888916},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.628821074962616},{"id":"https://openalex.org/C132778218","wikidata":"https://www.wikidata.org/wiki/Q7572753","display_name":"Space\u2013time code","level":4,"score":0.6120678186416626},{"id":"https://openalex.org/C194405637","wikidata":"https://www.wikidata.org/wiki/Q369367","display_name":"Repetition code","level":5,"score":0.6056903600692749},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5689042210578918},{"id":"https://openalex.org/C149862233","wikidata":"https://www.wikidata.org/wiki/Q864142","display_name":"Binary erasure channel","level":4,"score":0.5024282932281494},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.48983094096183777},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4361554980278015},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.411823570728302},{"id":"https://openalex.org/C12362212","wikidata":"https://www.wikidata.org/wiki/Q728435","display_name":"Linear subspace","level":2,"score":0.41147828102111816},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4080931544303894},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.37131381034851074},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3587590456008911},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3446164131164551},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.33612650632858276},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.30193179845809937},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.21175330877304077},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.19906264543533325},{"id":"https://openalex.org/C97744766","wikidata":"https://www.wikidata.org/wiki/Q870845","display_name":"Channel capacity","level":3,"score":0.18524417281150818},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/icumt.2013.6798422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/icumt.2013.6798422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 5th International Congress on Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT)","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":6,"referenced_works":["https://openalex.org/W1975099099","https://openalex.org/W1997834106","https://openalex.org/W2005196269","https://openalex.org/W2138928022","https://openalex.org/W2798588639","https://openalex.org/W4237051898"],"related_works":["https://openalex.org/W1997045285","https://openalex.org/W2051246968","https://openalex.org/W2538179194","https://openalex.org/W2899899454","https://openalex.org/W4289294685","https://openalex.org/W1646184777","https://openalex.org/W4213250678","https://openalex.org/W2166675846","https://openalex.org/W1869871778","https://openalex.org/W2356445999"],"abstract_inverted_index":{"We":[0],"build":[1],"upon":[2],"[1]":[3],"for":[4,132],"the":[5,20,23,29,60,67,70,75,80,83,89,94,104,110,123,146,152,156,167,172],"case":[6],"of":[7,22,69,82,129],"error-prone":[8],"wireless":[9,30],"access":[10],"networks":[11],"and":[12,50,99,134,155],"transmission":[13,51],"over":[14],"finite":[15],"fields.":[16],"Our":[17,57],"focus":[18],"is":[19,39,163],"derivation":[21],"network":[24,71,105,130],"code":[25,106,150],"naturally":[26],"provided":[27,108],"by":[28,109],"topology":[31,38,72,154],"when":[32],"using":[33],"packet-level":[34,84],"channel":[35,85,157],"coding.":[36],"The":[37,160],"assumed":[40],"to":[41,165,170],"be":[42,166],"an":[43,126],"LxL":[44],"Multiple":[45,47],"Input":[46],"Output":[48],"(MIMO)":[49],"units":[52],"are":[53,114],"q-ary":[54,148],"row":[55],"vectors.":[56],"results":[58],"include":[59],"following.":[61],"First,":[62],"our":[63],"model":[64,95,124],"algebraically":[65,96],"decouples":[66],"effect":[68,81],"(occurring":[73,87],"on":[74,88],"encoding":[76,91,101,173],"spatial":[77],"domain)":[78],"from":[79],"coding":[86,131,158],"time":[90,100],"domain).":[92],"Second,":[93],"matches":[97],"space":[98],"domains":[102],"with":[103],"coefficients":[107],"physical":[111],"layer,":[112],"which":[113],"formalized":[115],"as":[116,136],"a":[117],"natural":[118,168],"space-time":[119,147],"erasure":[120],"channel.":[121],"Third,":[122],"yields":[125],"algebraic":[127],"interpretation":[128],"unicast":[133],"multicast":[135],"weighted":[137],"projections":[138],"onto":[139],"lower-dimensional":[140],"subspaces.":[141],"Finally,":[142],"we":[143],"analytically":[144],"derive":[145],"repetition":[149],"that":[151],"MIMO":[153],"introduce.":[159],"Kronecker":[161],"product":[162],"shown":[164],"way":[169],"express":[171],"functions.":[174]},"counts_by_year":[],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
