{"id":"https://openalex.org/W4285144647","doi":"https://doi.org/10.1561/0100000119","title":"Rank-Metric Codes and Their Applications","display_name":"Rank-Metric Codes and Their Applications","publication_year":2022,"publication_date":"2022-05-02","ids":{"openalex":"https://openalex.org/W4285144647","doi":"https://doi.org/10.1561/0100000119"},"language":"en","primary_location":{"id":"doi:10.1561/0100000119","is_oa":false,"landing_page_url":"https://doi.org/10.1561/0100000119","pdf_url":null,"source":{"id":"https://openalex.org/S70831867","display_name":"Foundations and Trends\u00ae in Communications and Information Theory","issn_l":"1567-2190","issn":["1567-2190","1567-2328"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318575","host_organization_name":"Now Publishers","host_organization_lineage":["https://openalex.org/P4310318575"],"host_organization_lineage_names":["Now Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations and Trends\u00ae in Communications and Information Theory","raw_type":"journal-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/A5054665295","display_name":"Hannes Bartz","orcid":"https://orcid.org/0000-0001-7767-1513"},"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":"Hannes Bartz","raw_affiliation_strings":["German Aerospace Center (DLR)","German Aerospace Center (DLR), Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"German Aerospace Center (DLR)","institution_ids":["https://openalex.org/I2898391981"]},{"raw_affiliation_string":"German Aerospace Center (DLR), Germany","institution_ids":["https://openalex.org/I2898391981"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041582960","display_name":"Lukas Holzbaur","orcid":"https://orcid.org/0000-0002-8048-3051"},"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":"Lukas Holzbaur","raw_affiliation_strings":["Technical University of Munich","Technical University of Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085434966","display_name":"Hedongliang Liu","orcid":"https://orcid.org/0000-0001-7512-0654"},"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":"Hedongliang Liu","raw_affiliation_strings":["Technical University of Munich","Technical University of Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009036826","display_name":"Sven Puchinger","orcid":"https://orcid.org/0000-0002-7474-2678"},"institutions":[{"id":"https://openalex.org/I4210093903","display_name":"Hensoldt (Germany)","ror":"https://ror.org/00kt9hm47","country_code":"DE","type":"company","lineage":["https://openalex.org/I4210093903"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Sven Puchinger","raw_affiliation_strings":["Hensoldt Sensors GmbH","Hensoldt Sensors GmbH, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hensoldt Sensors GmbH","institution_ids":["https://openalex.org/I4210093903"]},{"raw_affiliation_string":"Hensoldt Sensors GmbH, Germany","institution_ids":["https://openalex.org/I4210093903"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090817394","display_name":"Julian Renner","orcid":"https://orcid.org/0000-0003-0584-2226"},"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":"Julian Renner","raw_affiliation_strings":["Technical University of Munich","Technical University of Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich, Germany","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":["Technical University of Munich","Technical University of Munich, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich, Germany","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5054665295"],"corresponding_institution_ids":["https://openalex.org/I2898391981"],"apc_list":null,"apc_paid":null,"fwci":3.468,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.93386677,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"19","issue":"3","first_page":"391","last_page":"546"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9980000257492065,"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":0.9980000257492065,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9975000023841858,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9939000010490417,"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/rank","display_name":"Rank (graph theory)","score":0.6634464263916016},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6016054153442383},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5622367858886719},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3531421422958374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3411597013473511},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.33021825551986694},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.11499020457267761},{"id":"https://openalex.org/keywords/operations-management","display_name":"Operations management","score":0.07689136266708374}],"concepts":[{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6634464263916016},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6016054153442383},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5622367858886719},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3531421422958374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3411597013473511},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.33021825551986694},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.11499020457267761},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.07689136266708374}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1561/0100000119","is_oa":false,"landing_page_url":"https://doi.org/10.1561/0100000119","pdf_url":null,"source":{"id":"https://openalex.org/S70831867","display_name":"Foundations and Trends\u00ae in Communications and Information Theory","issn_l":"1567-2190","issn":["1567-2190","1567-2328"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318575","host_organization_name":"Now Publishers","host_organization_lineage":["https://openalex.org/P4310318575"],"host_organization_lineage_names":["Now Publishers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Foundations and Trends\u00ae in Communications and Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:elib.dlr.de:186712","is_oa":false,"landing_page_url":null,"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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Lehr- oder Fachbuch"},{"id":"pmh:oai:elib.dlr.de:187645","is_oa":false,"landing_page_url":"https://doi.org/10.1561/0100000119>.","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":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":null,"raw_type":"PeerReviewed"},{"id":"pmh:oai:mediatum.ub.tum.de:node/1654827","is_oa":false,"landing_page_url":"https://mediatum.ub.tum.de/1654827","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":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":238,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W121367636","https://openalex.org/W966573063","https://openalex.org/W1441763937","https://openalex.org/W1485768053","https://openalex.org/W1493399411","https://openalex.org/W1536805815","https://openalex.org/W1574075570","https://openalex.org/W1584780183","https://openalex.org/W1589190557","https://openalex.org/W1593639131","https://openalex.org/W1603678347","https://openalex.org/W1628996527","https://openalex.org/W1639768245","https://openalex.org/W1662906987","https://openalex.org/W1663773594","https://openalex.org/W1669634226","https://openalex.org/W1750165282","https://openalex.org/W1892123666","https://openalex.org/W1913348518","https://openalex.org/W1927638654","https://openalex.org/W1965969834","https://openalex.org/W1982340557","https://openalex.org/W1982352694","https://openalex.org/W1990226699","https://openalex.org/W1991869485","https://openalex.org/W1992179756","https://openalex.org/W1993359877","https://openalex.org/W1993830711","https://openalex.org/W1996310087","https://openalex.org/W1997044393","https://openalex.org/W1999418148","https://openalex.org/W2000658094","https://openalex.org/W2010024611","https://openalex.org/W2011881257","https://openalex.org/W2013452229","https://openalex.org/W2014149071","https://openalex.org/W2014449813","https://openalex.org/W2014554046","https://openalex.org/W2016444590","https://openalex.org/W2022069541","https://openalex.org/W2025108828","https://openalex.org/W2028633248","https://openalex.org/W2029600846","https://openalex.org/W2030288698","https://openalex.org/W2031261078","https://openalex.org/W2031971033","https://openalex.org/W2041290864","https://openalex.org/W2047445372","https://openalex.org/W2047496568","https://openalex.org/W2048235391","https://openalex.org/W2049833502","https://openalex.org/W2055060019","https://openalex.org/W2057174629","https://openalex.org/W2058838206","https://openalex.org/W2060439883","https://openalex.org/W2060646539","https://openalex.org/W2061483889","https://openalex.org/W2064980599","https://openalex.org/W2065465262","https://openalex.org/W2066114766","https://openalex.org/W2069554151","https://openalex.org/W2072942107","https://openalex.org/W2073897838","https://openalex.org/W2081535454","https://openalex.org/W2082506471","https://openalex.org/W2083270107","https://openalex.org/W2087538788","https://openalex.org/W2090010567","https://openalex.org/W2094420277","https://openalex.org/W2095418648","https://openalex.org/W2095547380","https://openalex.org/W2097016139","https://openalex.org/W2099837838","https://openalex.org/W2101195673","https://openalex.org/W2105403121","https://openalex.org/W2105831729","https://openalex.org/W2106248279","https://openalex.org/W2106295307","https://openalex.org/W2106403318","https://openalex.org/W2107712595","https://openalex.org/W2108964585","https://openalex.org/W2110775981","https://openalex.org/W2113427391","https://openalex.org/W2114578240","https://openalex.org/W2115216868","https://openalex.org/W2117872622","https://openalex.org/W2123061921","https://openalex.org/W2123562143","https://openalex.org/W2124961791","https://openalex.org/W2126655674","https://openalex.org/W2128555802","https://openalex.org/W2130358229","https://openalex.org/W2133214726","https://openalex.org/W2134427743","https://openalex.org/W2136010500","https://openalex.org/W2136571043","https://openalex.org/W2137147061","https://openalex.org/W2137806147","https://openalex.org/W2138928022","https://openalex.org/W2139416652","https://openalex.org/W2140204181","https://openalex.org/W2141146526","https://openalex.org/W2141699149","https://openalex.org/W2142293082","https://openalex.org/W2146078064","https://openalex.org/W2148957188","https://openalex.org/W2149863032","https://openalex.org/W2151025885","https://openalex.org/W2158464899","https://openalex.org/W2159047322","https://openalex.org/W2160997819","https://openalex.org/W2167703619","https://openalex.org/W2167890515","https://openalex.org/W2247845008","https://openalex.org/W2278805587","https://openalex.org/W2289018240","https://openalex.org/W2309103680","https://openalex.org/W2323514020","https://openalex.org/W2331005958","https://openalex.org/W2331086348","https://openalex.org/W2333324284","https://openalex.org/W2405991429","https://openalex.org/W2482095914","https://openalex.org/W2510431879","https://openalex.org/W2512668221","https://openalex.org/W2514405074","https://openalex.org/W2520683369","https://openalex.org/W2534491645","https://openalex.org/W2544072749","https://openalex.org/W2549679876","https://openalex.org/W2555108336","https://openalex.org/W2566390621","https://openalex.org/W2571060464","https://openalex.org/W2618233521","https://openalex.org/W2732251371","https://openalex.org/W2732751854","https://openalex.org/W2742061156","https://openalex.org/W2744311935","https://openalex.org/W2744911370","https://openalex.org/W2748890615","https://openalex.org/W2750085826","https://openalex.org/W2762207129","https://openalex.org/W2769000485","https://openalex.org/W2778213072","https://openalex.org/W2786757013","https://openalex.org/W2791874884","https://openalex.org/W2799278985","https://openalex.org/W2811073864","https://openalex.org/W2885670388","https://openalex.org/W2892126014","https://openalex.org/W2892776878","https://openalex.org/W2911896088","https://openalex.org/W2913293170","https://openalex.org/W2913767745","https://openalex.org/W2914756278","https://openalex.org/W2921214698","https://openalex.org/W2953905914","https://openalex.org/W2957844565","https://openalex.org/W2959066088","https://openalex.org/W2962692689","https://openalex.org/W2962723524","https://openalex.org/W2962848459","https://openalex.org/W2963118678","https://openalex.org/W2963120842","https://openalex.org/W2963181730","https://openalex.org/W2963279851","https://openalex.org/W2963297998","https://openalex.org/W2963320596","https://openalex.org/W2963379327","https://openalex.org/W2963497038","https://openalex.org/W2963682637","https://openalex.org/W2963687969","https://openalex.org/W2963887056","https://openalex.org/W2964235003","https://openalex.org/W2964326991","https://openalex.org/W2964936392","https://openalex.org/W2966125381","https://openalex.org/W2967670694","https://openalex.org/W2968589674","https://openalex.org/W2976264428","https://openalex.org/W2978669775","https://openalex.org/W2982375418","https://openalex.org/W2986959318","https://openalex.org/W2990083380","https://openalex.org/W2991497366","https://openalex.org/W2991555650","https://openalex.org/W2991886293","https://openalex.org/W3002383713","https://openalex.org/W3004520120","https://openalex.org/W3006860762","https://openalex.org/W3006944685","https://openalex.org/W3009813707","https://openalex.org/W3010303351","https://openalex.org/W3026864023","https://openalex.org/W3034712312","https://openalex.org/W3034720425","https://openalex.org/W3037157003","https://openalex.org/W3045045786","https://openalex.org/W3046674836","https://openalex.org/W3080435810","https://openalex.org/W3088602358","https://openalex.org/W3091789028","https://openalex.org/W3099148554","https://openalex.org/W3099209157","https://openalex.org/W3100451330","https://openalex.org/W3100466030","https://openalex.org/W3102272702","https://openalex.org/W3103202762","https://openalex.org/W3103519306","https://openalex.org/W3103610239","https://openalex.org/W3103759265","https://openalex.org/W3104110479","https://openalex.org/W3105122058","https://openalex.org/W3105173723","https://openalex.org/W3112682786","https://openalex.org/W3134225535","https://openalex.org/W3135782383","https://openalex.org/W3135980946","https://openalex.org/W3153839025","https://openalex.org/W3172742513","https://openalex.org/W3174627664","https://openalex.org/W3175475550","https://openalex.org/W3196529791","https://openalex.org/W3196641868","https://openalex.org/W3197435736","https://openalex.org/W3197539179","https://openalex.org/W3198472073","https://openalex.org/W4205456245","https://openalex.org/W4232836212","https://openalex.org/W4240706652","https://openalex.org/W4254706618","https://openalex.org/W4287605637","https://openalex.org/W4289108240","https://openalex.org/W4294235403","https://openalex.org/W4299720175","https://openalex.org/W4302386382","https://openalex.org/W4394671693"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":{"The":[0],"rank":[1,11,19,66],"metric":[2,20,67],"measures":[3],"the":[4,10,18,43,46,65,86],"distance":[5],"between":[6],"two":[7],"matrices":[8],"by":[9,29,35],"of":[12,38,45,88,112],"their":[13,101,107],"difference.":[14],"Codes":[15],"designed":[16],"for":[17,85],"have":[21,68,82],"attracted":[22],"considerable":[23],"attention":[24],"in":[25,64,78],"recent":[26],"years,":[27],"reinforced":[28],"network":[30],"coding":[31],"and":[32,77,105],"further":[33],"motivated":[34],"a":[36,94],"variety":[37],"applications.":[39],"In":[40,59],"code-based":[41],"cryptography,":[42],"hardness":[44],"corresponding":[47],"generic":[48],"decoding":[49],"problem":[50],"can":[51],"lead":[52],"to":[53,72,97,109],"systems":[54],"with":[55,75],"reduced":[56],"public-key":[57],"size.":[58],"distributed":[60],"data":[61],"storage,":[62],"codes":[63,74],"been":[69,83],"used":[70],"repeatedly":[71],"construct":[73],"locality,":[76],"coded":[79,89],"caching,":[80],"they":[81],"employed":[84],"placement":[87],"symbols.":[90],"This":[91],"survey":[92],"gives":[93],"general":[95],"introduction":[96],"rank-metric":[98],"codes,":[99],"explains":[100],"most":[102],"important":[103],"applications,":[104],"highlights":[106],"relevance":[108],"these":[110],"areas":[111],"research.":[113]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":9},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}