{"id":"https://openalex.org/W2260381326","doi":"https://doi.org/10.3934/amc.2016023","title":"Construction of subspace codes through linkage","display_name":"Construction of subspace codes through linkage","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2260381326","doi":"https://doi.org/10.3934/amc.2016023","mag":"2260381326"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2016023","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2016023","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://doi.org/10.3934/amc.2016023","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089040743","display_name":"Heide Gluesing-Luerssen","orcid":"https://orcid.org/0000-0002-2780-192X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Heide Gluesing-Luerssen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5083519963","display_name":"Carolyn Troha","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Carolyn Troha","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089040743"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3037,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.61765044,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"10","issue":"3","first_page":"525","last_page":"540"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9986000061035156,"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":0.9973000288009644,"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/subspace-topology","display_name":"Subspace topology","score":0.8511084318161011},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6141056418418884},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5971135497093201},{"id":"https://openalex.org/keywords/linkage","display_name":"Linkage (software)","score":0.5813530087471008},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5573456287384033},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4930212199687958},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4734725058078766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4567405581474304},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.43072509765625},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.42262938618659973},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3847152888774872},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.35591286420822144},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23618626594543457},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08072182536125183},{"id":"https://openalex.org/keywords/genetics","display_name":"Genetics","score":0.06895169615745544},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.06029626727104187},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.051318466663360596},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.0505814254283905}],"concepts":[{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.8511084318161011},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6141056418418884},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5971135497093201},{"id":"https://openalex.org/C31266012","wikidata":"https://www.wikidata.org/wiki/Q6554340","display_name":"Linkage (software)","level":3,"score":0.5813530087471008},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5573456287384033},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4930212199687958},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4734725058078766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4567405581474304},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.43072509765625},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.42262938618659973},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3847152888774872},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.35591286420822144},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23618626594543457},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08072182536125183},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.06895169615745544},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.06029626727104187},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.051318466663360596},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0505814254283905},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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":4,"locations":[{"id":"doi:10.3934/amc.2016023","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2016023","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1505.02186","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1505.02186","pdf_url":"https://arxiv.org/pdf/1505.02186","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:2260381326","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1505.02186.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.1505.02186","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1505.02186","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":"doi:10.3934/amc.2016023","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2016023","pdf_url":null,"source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W1494164048","https://openalex.org/W1502102369","https://openalex.org/W1512964282","https://openalex.org/W1554096626","https://openalex.org/W1612542575","https://openalex.org/W1698238101","https://openalex.org/W1811362484","https://openalex.org/W1824904663","https://openalex.org/W1876525288","https://openalex.org/W1891072883","https://openalex.org/W1901131487","https://openalex.org/W1965194482","https://openalex.org/W1989883908","https://openalex.org/W1995134558","https://openalex.org/W2008733023","https://openalex.org/W2026698357","https://openalex.org/W2027684184","https://openalex.org/W2031876696","https://openalex.org/W2045753079","https://openalex.org/W2055060019","https://openalex.org/W2076382646","https://openalex.org/W2079696964","https://openalex.org/W2086120244","https://openalex.org/W2095418648","https://openalex.org/W2095547380","https://openalex.org/W2098313715","https://openalex.org/W2128555802","https://openalex.org/W2139145447","https://openalex.org/W2139416652","https://openalex.org/W2912975828","https://openalex.org/W2962878445","https://openalex.org/W2964046759","https://openalex.org/W2964084534","https://openalex.org/W3103260357","https://openalex.org/W3106172892","https://openalex.org/W6639420338","https://openalex.org/W6729316007"],"related_works":["https://openalex.org/W2963810572","https://openalex.org/W1997558960","https://openalex.org/W2123782067","https://openalex.org/W2571060464","https://openalex.org/W2155398259","https://openalex.org/W2570738108","https://openalex.org/W3206486194","https://openalex.org/W2536817730","https://openalex.org/W2952574710","https://openalex.org/W2323514020","https://openalex.org/W2205243458","https://openalex.org/W2897250126","https://openalex.org/W2068593329","https://openalex.org/W2237433493","https://openalex.org/W2097481928","https://openalex.org/W2963279851","https://openalex.org/W2902053917","https://openalex.org/W2743327613","https://openalex.org/W2141078338","https://openalex.org/W2128687865"],"abstract_inverted_index":{"A":[0],"construction":[1,48],"is":[2,32,55,66],"discussed":[3],"that":[4],"allows":[5],"to":[6,70,73],"produce":[7],"subspace":[8,14,25,38],"codes":[9,15,77],"of":[10,16,27,40,49,61],"long":[11],"length":[12],"using":[13],"shorter":[17],"lengthin":[18],"combination":[19],"with":[20],"a":[21,44,58,63],"rank":[22],"metric":[23],"code.The":[24],"distance":[26,39],"the":[28,36,41,47,50,74],"resulting":[29],"linkage":[30],"code":[31],"as":[33,35],"good":[34],"minimum":[37],"constituent":[42,76],"codes.As":[43],"special":[45,59],"application,":[46],"best":[51],"known":[52],"partial":[53],"spreads":[54],"reproduced.Finally,":[56],"for":[57],"case":[60],"linkage,":[62],"decoding":[64],"algorithm":[65],"presented":[67],"which":[68,79],"amounts":[69],"decodingwith":[71],"respect":[72],"smaller":[75],"and":[78],"can":[80],"be":[81],"parallelized.":[82]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}