{"id":"https://openalex.org/W3127148449","doi":"https://doi.org/10.1109/isit45174.2021.9518115","title":"Decoding of Space-Symmetric Rank Errors","display_name":"Decoding of Space-Symmetric Rank Errors","publication_year":2021,"publication_date":"2021-07-12","ids":{"openalex":"https://openalex.org/W3127148449","doi":"https://doi.org/10.1109/isit45174.2021.9518115","mag":"3127148449"},"language":"en","primary_location":{"id":"doi:10.1109/isit45174.2021.9518115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518115","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2102.02554","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5055606022","display_name":"Thomas Jerkovits","orcid":"https://orcid.org/0000-0002-7538-7639"},"institutions":[{"id":"https://openalex.org/I2898391981","display_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","ror":"https://ror.org/04bwf3e34","country_code":"DE","type":"facility","lineage":["https://openalex.org/I1305996414","https://openalex.org/I2898391981"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Thomas Jerkovits","raw_affiliation_strings":["Institute of Communication and Navigation, German Aerospace Center (DLR)","Institute of Communication and Navigation German Aerospace Center (DLR)"],"affiliations":[{"raw_affiliation_string":"Institute of Communication and Navigation, German Aerospace Center (DLR)","institution_ids":["https://openalex.org/I2898391981"]},{"raw_affiliation_string":"Institute of Communication and Navigation German Aerospace Center (DLR)","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072164594","display_name":"Vladimir Sidorenko","orcid":"https://orcid.org/0000-0003-4966-3684"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Vladimir Sidorenko","raw_affiliation_strings":["Institute for Communications Engineering, Technical University of Munich (TUM)"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technical University of Munich (TUM)","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041962883","display_name":"Antonia Wachter-Zeh","orcid":"https://orcid.org/0000-0002-5174-1947"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Antonia Wachter-Zeh","raw_affiliation_strings":["Institute for Communications Engineering, Technical University of Munich (TUM)"],"affiliations":[{"raw_affiliation_string":"Institute for Communications Engineering, Technical University of Munich (TUM)","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5055606022"],"corresponding_institution_ids":["https://openalex.org/I2898391981"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01970109,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"658","last_page":"663"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9979000091552734,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/decoding-methods","display_name":"Decoding methods","score":0.8127976655960083},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.714301347732544},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6996277570724487},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6503115892410278},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.6442257165908813},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.6140428185462952},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5219014286994934},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5033518671989441},{"id":"https://openalex.org/keywords/channel","display_name":"Channel (broadcasting)","score":0.41913777589797974},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3604543209075928},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3493961691856384},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2826647162437439},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.1304979920387268}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8127976655960083},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.714301347732544},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6996277570724487},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6503115892410278},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.6442257165908813},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.6140428185462952},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5219014286994934},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5033518671989441},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.41913777589797974},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3604543209075928},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3493961691856384},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2826647162437439},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.1304979920387268},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":6,"locations":[{"id":"doi:10.1109/isit45174.2021.9518115","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit45174.2021.9518115","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2021 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:2102.02554","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.02554","pdf_url":"https://arxiv.org/pdf/2102.02554","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:3127148449","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2102.02554.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":"pmh:oai:elib.dlr.de:144033","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/abstract/document/9518115","pdf_url":null,"source":{"id":"https://openalex.org/S4377196266","display_name":"elib (German Aerospace Center)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2898391981","host_organization_name":"Deutsches Zentrum f\u00fcr Luft- und Raumfahrt e. V. (DLR)","host_organization_lineage":["https://openalex.org/I2898391981"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Konferenzbeitrag"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1614707","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1614707","pdf_url":null,"source":{"id":"https://openalex.org/S4377196330","display_name":"mediaTUM  (Technical University of Munich)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I62916508","host_organization_name":"Technical University of Munich","host_organization_lineage":["https://openalex.org/I62916508"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"ConferencePaper"},{"id":"doi:10.48550/arxiv.2102.02554","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2102.02554","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:2102.02554","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2102.02554","pdf_url":"https://arxiv.org/pdf/2102.02554","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":[{"id":"https://openalex.org/G4225000860","display_name":null,"funder_award_id":"801434","funder_id":"https://openalex.org/F4320338335","funder_display_name":"H2020 European Research Council"}],"funders":[{"id":"https://openalex.org/F4320338335","display_name":"H2020 European Research Council","ror":"https://ror.org/0472cxd90"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3127148449.pdf","grobid_xml":"https://content.openalex.org/works/W3127148449.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W1471103927","https://openalex.org/W1485768053","https://openalex.org/W1493399411","https://openalex.org/W1574075570","https://openalex.org/W1584780183","https://openalex.org/W1603678347","https://openalex.org/W1606480398","https://openalex.org/W1993359877","https://openalex.org/W1996310087","https://openalex.org/W1996703727","https://openalex.org/W1997013665","https://openalex.org/W1999418148","https://openalex.org/W2049833502","https://openalex.org/W2052598727","https://openalex.org/W2055060019","https://openalex.org/W2068280656","https://openalex.org/W2090010567","https://openalex.org/W2092834040","https://openalex.org/W2094420277","https://openalex.org/W2095418648","https://openalex.org/W2095547380","https://openalex.org/W2101195673","https://openalex.org/W2115216868","https://openalex.org/W2136571043","https://openalex.org/W2160997819","https://openalex.org/W2479017763","https://openalex.org/W2604850172","https://openalex.org/W2732251371","https://openalex.org/W2911896088","https://openalex.org/W2963297998","https://openalex.org/W2963687969","https://openalex.org/W2963804797","https://openalex.org/W2991886293","https://openalex.org/W3034712312","https://openalex.org/W4233695615","https://openalex.org/W6771043182"],"related_works":["https://openalex.org/W3198472073","https://openalex.org/W2743327613","https://openalex.org/W2018175171","https://openalex.org/W2910703115","https://openalex.org/W2950907167","https://openalex.org/W2952574710","https://openalex.org/W2147555059","https://openalex.org/W2095733114","https://openalex.org/W2183029511","https://openalex.org/W2897250126","https://openalex.org/W2136571043","https://openalex.org/W2963279851","https://openalex.org/W2068593329","https://openalex.org/W1549063669","https://openalex.org/W2189016659","https://openalex.org/W1545614041","https://openalex.org/W2130340248","https://openalex.org/W2951671515","https://openalex.org/W2128970384","https://openalex.org/W1999270946"],"abstract_inverted_index":{"This":[0],"paper":[1],"investigates":[2],"the":[3,23],"decoding":[4],"of":[5,46,61],"certain":[6],"Gabidulin":[7,59],"codes":[8],"over":[9],"a":[10,58,73],"channel":[11],"with":[12,42,57],"space-symmetric":[13,40],"errors.":[14],"Space-symmetric":[15],"errors":[16,45],"are":[17,31],"additive":[18],"error":[19],"matrices":[20],"that":[21,25,35],"have":[22],"property":[24],"their":[26],"column":[27],"and":[28,66],"row":[29],"spaces":[30],"equal.":[32],"We":[33],"show":[34],"for":[36],"channels":[37],"restricted":[38],"to":[39,49],"errors,":[41],"high":[43],"probability":[44],"rank":[47],"up":[48],"<tex":[50,63,68],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[51,64,69],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$2":[52],"(n-k)/3$</tex>":[53],"can":[54],"be":[55],"decoded":[56],"code":[60,78],"length":[62],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n$</tex>":[65],"dimension":[67],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$k$</tex>":[70],",":[71],"using":[72],"weak-self":[74],"orthogonal":[75],"basis":[76],"as":[77],"locators.":[79]},"counts_by_year":[],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2025-10-10T00:00:00"}
