{"id":"https://openalex.org/W3135612806","doi":"https://doi.org/10.1109/tit.2021.3129767","title":"Space\u2013Time Codes From Sum-Rank Codes","display_name":"Space\u2013Time Codes From Sum-Rank Codes","publication_year":2021,"publication_date":"2021-11-22","ids":{"openalex":"https://openalex.org/W3135612806","doi":"https://doi.org/10.1109/tit.2021.3129767","mag":"3135612806"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3129767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3129767","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2103.04976","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026696181","display_name":"Mohannad Shehadeh","orcid":"https://orcid.org/0000-0002-4749-5317"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Mohannad Shehadeh","raw_affiliation_strings":["The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada"],"affiliations":[{"raw_affiliation_string":"The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077846751","display_name":"Frank R. Kschischang","orcid":"https://orcid.org/0000-0002-4274-1785"},"institutions":[{"id":"https://openalex.org/I185261750","display_name":"University of Toronto","ror":"https://ror.org/03dbr7087","country_code":"CA","type":"education","lineage":["https://openalex.org/I185261750"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Frank R. Kschischang","raw_affiliation_strings":["The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","University of Toronto"],"affiliations":[{"raw_affiliation_string":"The Edward S. Rogers Sr. Department of Electrical and Computer Engineering, University of Toronto, Toronto, ON, Canada","institution_ids":["https://openalex.org/I185261750"]},{"raw_affiliation_string":"University of Toronto","institution_ids":["https://openalex.org/I185261750"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5026696181"],"corresponding_institution_ids":["https://openalex.org/I185261750"],"apc_list":null,"apc_paid":null,"fwci":0.14,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.52448345,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"68","issue":"3","first_page":"1614","last_page":"1637"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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"}},{"id":"https://openalex.org/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9983999729156494,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9972000122070312,"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/block-code","display_name":"Block code","score":0.7477731704711914},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6471684575080872},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.5664394497871399},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5271812677383423},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.4803767800331116},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.46161091327667236},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.458503782749176},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4552355110645294},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4310358762741089},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.368622750043869},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3610835373401642},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30812153220176697},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.30071911215782166},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20576134324073792},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.053784072399139404}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.7477731704711914},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6471684575080872},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.5664394497871399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5271812677383423},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.4803767800331116},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.46161091327667236},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.458503782749176},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4552355110645294},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4310358762741089},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.368622750043869},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3610835373401642},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30812153220176697},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.30071911215782166},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20576134324073792},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.053784072399139404},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2021.3129767","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3129767","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"},{"id":"pmh:oai:arXiv.org:2103.04976","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.04976","pdf_url":"https://arxiv.org/pdf/2103.04976","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":"pmh:oai:utoronto.scholaris.ca:1807/103139","is_oa":true,"landing_page_url":"http://hdl.handle.net/1807/103139","pdf_url":"https://utoronto.scholaris.ca/bitstreams/cab39655-f7b2-4c5b-917d-51829a1bfbf1/download","source":{"id":"https://openalex.org/S7407055458","display_name":"TSpace","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Thesis"},{"id":"mag:3135612806","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2103.04976.pdf","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.2103.04976","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2103.04976","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:2103.04976","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2103.04976","pdf_url":"https://arxiv.org/pdf/2103.04976","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":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3135612806.pdf"},"referenced_works_count":76,"referenced_works":["https://openalex.org/W106770654","https://openalex.org/W1496718411","https://openalex.org/W1497711190","https://openalex.org/W1502961723","https://openalex.org/W1513197020","https://openalex.org/W1515351491","https://openalex.org/W1581938433","https://openalex.org/W1683834415","https://openalex.org/W1685423437","https://openalex.org/W1966244415","https://openalex.org/W1969483458","https://openalex.org/W1980073965","https://openalex.org/W1991869485","https://openalex.org/W1992566272","https://openalex.org/W1993359877","https://openalex.org/W2010559099","https://openalex.org/W2017770568","https://openalex.org/W2024785740","https://openalex.org/W2025889675","https://openalex.org/W2029779597","https://openalex.org/W2035227369","https://openalex.org/W2050532143","https://openalex.org/W2050687505","https://openalex.org/W2067289912","https://openalex.org/W2068847974","https://openalex.org/W2069209527","https://openalex.org/W2074735299","https://openalex.org/W2078752703","https://openalex.org/W2095547380","https://openalex.org/W2095980332","https://openalex.org/W2100971250","https://openalex.org/W2103005479","https://openalex.org/W2108550051","https://openalex.org/W2114209415","https://openalex.org/W2116631972","https://openalex.org/W2117359246","https://openalex.org/W2117507580","https://openalex.org/W2118040894","https://openalex.org/W2120513570","https://openalex.org/W2122498678","https://openalex.org/W2124439136","https://openalex.org/W2124899794","https://openalex.org/W2125823197","https://openalex.org/W2126824576","https://openalex.org/W2127359267","https://openalex.org/W2129766733","https://openalex.org/W2133967149","https://openalex.org/W2134464055","https://openalex.org/W2135479167","https://openalex.org/W2136571043","https://openalex.org/W2138293524","https://openalex.org/W2139317044","https://openalex.org/W2141146526","https://openalex.org/W2143140815","https://openalex.org/W2144461334","https://openalex.org/W2148575324","https://openalex.org/W2153739324","https://openalex.org/W2155722340","https://openalex.org/W2161551338","https://openalex.org/W2278649354","https://openalex.org/W2287924287","https://openalex.org/W2394094772","https://openalex.org/W2538561986","https://openalex.org/W2539303709","https://openalex.org/W2597319606","https://openalex.org/W2801400867","https://openalex.org/W2956089011","https://openalex.org/W2962760032","https://openalex.org/W2963073980","https://openalex.org/W2964235003","https://openalex.org/W3081293222","https://openalex.org/W3104978253","https://openalex.org/W3216335061","https://openalex.org/W4250453948","https://openalex.org/W6604401579","https://openalex.org/W6735025268"],"related_works":["https://openalex.org/W801938020","https://openalex.org/W2964235003","https://openalex.org/W3021758908","https://openalex.org/W3099292029","https://openalex.org/W3202273537","https://openalex.org/W2964936392","https://openalex.org/W2305450768","https://openalex.org/W3136348518","https://openalex.org/W2956089011","https://openalex.org/W2555786829","https://openalex.org/W2963024133","https://openalex.org/W2951134075","https://openalex.org/W348408967","https://openalex.org/W3002188587","https://openalex.org/W2998739110","https://openalex.org/W2963415717","https://openalex.org/W2171543047","https://openalex.org/W1835960588","https://openalex.org/W247640849","https://openalex.org/W2158464899"],"abstract_inverted_index":{"Just":[0],"as":[1,52,97,99],"rank-metric":[2],"or":[3],"Gabidulin":[4],"codes":[5,51,66,71,83,88],"may":[6],"be":[7],"used":[8],"to":[9],"construct":[10],"rate\u2013diversity":[11,47],"tradeoff":[12],"optimal":[13,48],"space\u2013time":[14,50,70],"codes,":[15],"a":[16],"recently":[17],"introduced":[18],"generalization":[19],"for":[20,64],"the":[21,26,29,40,81],"sum-rank":[22],"metric\u2014linearized":[23],"Reed\u2013Solomon":[24,57],"codes\u2014accomplishes":[25],"same":[27],"in":[28],"case":[30],"of":[31,44,55],"multiple":[32],"fading":[33],"blocks.":[34],"In":[35],"this":[36],"paper,":[37],"we":[38],"provide":[39,61],"first":[41],"explicit":[42],"construction":[43],"minimal":[45],"delay":[46],"multiblock":[49],"an":[53],"application":[54],"linearized":[56],"codes.":[58,76],"We":[59],"also":[60],"sequential":[62],"decoders":[63],"these":[65],"and,":[67],"more":[68],"generally,":[69],"constructed":[72],"from":[73],"finite":[74],"field":[75],"Simulation":[77],"results":[78],"show":[79],"that":[80],"proposed":[82],"can":[84],"outperform":[85],"full":[86],"diversity":[87],"based":[89],"on":[90],"cyclic":[91],"division":[92],"algebras":[93],"at":[94],"low":[95],"SNRs":[96],"well":[98],"utilize":[100],"significantly":[101],"smaller":[102],"constellations.":[103]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-04-13T07:58:08.660418","created_date":"2025-10-10T00:00:00"}
