{"id":"https://openalex.org/W2744911370","doi":"https://doi.org/10.1109/isit.2017.8007033","title":"MRD rank metric convolutional codes","display_name":"MRD rank metric convolutional codes","publication_year":2017,"publication_date":"2017-06-01","ids":{"openalex":"https://openalex.org/W2744911370","doi":"https://doi.org/10.1109/isit.2017.8007033","mag":"2744911370"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2017.8007033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8007033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/10773/18079","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026023196","display_name":"Diego Napp","orcid":"https://orcid.org/0000-0003-2303-9824"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":true,"raw_author_name":"Diego Napp","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, Aveiro, Portugal","Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]},{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023060166","display_name":"Raquel Pinto","orcid":"https://orcid.org/0000-0002-8168-4023"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Raquel Pinto","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, Aveiro, Portugal","Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]},{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021424383","display_name":"Joachim Rosenthal","orcid":"https://orcid.org/0000-0003-4545-3559"},"institutions":[{"id":"https://openalex.org/I202697423","display_name":"University of Zurich","ror":"https://ror.org/02crff812","country_code":"CH","type":"education","lineage":["https://openalex.org/I202697423"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Joachim Rosenthal","raw_affiliation_strings":["Department of Mathematics, University of Zurich, Z\u00fcrich, Switzerland","Department of Mathematics, University of Zurich, Winterthurstrasse 190, CH-8057 Zurich, Switzerland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Zurich, Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I202697423"]},{"raw_affiliation_string":"Department of Mathematics, University of Zurich, Winterthurstrasse 190, CH-8057 Zurich, Switzerland","institution_ids":["https://openalex.org/I202697423"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5016533071","display_name":"Paolo Vettori","orcid":"https://orcid.org/0000-0002-5029-8314"},"institutions":[{"id":"https://openalex.org/I60858718","display_name":"University of Aveiro","ror":"https://ror.org/00nt41z93","country_code":"PT","type":"education","lineage":["https://openalex.org/I60858718"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"Paolo Vettori","raw_affiliation_strings":["Department of Mathematics, University of Aveiro, Aveiro, Portugal","Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]},{"raw_affiliation_string":"Department of Mathematics, University of Aveiro, 3810-197 Aveiro, Portugal","institution_ids":["https://openalex.org/I60858718"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5026023196"],"corresponding_institution_ids":["https://openalex.org/I60858718"],"apc_list":null,"apc_paid":null,"fwci":2.1929,"has_fulltext":false,"cited_by_count":25,"citation_normalized_percentile":{"value":0.89504583,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"2766","last_page":"2770"},"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/T11458","display_name":"Advanced Wireless Communication Technologies","score":0.9930999875068665,"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/T10964","display_name":"Wireless Communication Security Techniques","score":0.9876999855041504,"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/convolutional-code","display_name":"Convolutional code","score":0.7887623310089111},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.6899100542068481},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5938871502876282},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.54997318983078},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5170143842697144},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5040211081504822},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5036179423332214},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.4976542294025421},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.48991698026657104},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4198532998561859},{"id":"https://openalex.org/keywords/turbo-code","display_name":"Turbo code","score":0.4107283651828766},{"id":"https://openalex.org/keywords/serial-concatenated-convolutional-codes","display_name":"Serial concatenated convolutional codes","score":0.41065794229507446},{"id":"https://openalex.org/keywords/singleton","display_name":"Singleton","score":0.41039371490478516},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4084198474884033},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3247529864311218},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3209187984466553},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2706161141395569},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.25284188985824585},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.12835294008255005},{"id":"https://openalex.org/keywords/network-packet","display_name":"Network packet","score":0.10646927356719971}],"concepts":[{"id":"https://openalex.org/C157899210","wikidata":"https://www.wikidata.org/wiki/Q1395022","display_name":"Convolutional code","level":3,"score":0.7887623310089111},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.6899100542068481},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5938871502876282},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.54997318983078},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5170143842697144},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5040211081504822},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5036179423332214},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.4976542294025421},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.48991698026657104},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4198532998561859},{"id":"https://openalex.org/C114504821","wikidata":"https://www.wikidata.org/wiki/Q2164281","display_name":"Turbo code","level":3,"score":0.4107283651828766},{"id":"https://openalex.org/C33529081","wikidata":"https://www.wikidata.org/wiki/Q18378194","display_name":"Serial concatenated convolutional codes","level":5,"score":0.41065794229507446},{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.41039371490478516},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4084198474884033},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3247529864311218},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3209187984466553},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2706161141395569},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.25284188985824585},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.12835294008255005},{"id":"https://openalex.org/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","level":2,"score":0.10646927356719971},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0},{"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2017.8007033","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2017.8007033","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2017 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:doi:10.5167/uzh-146719","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","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":"Text"},{"id":"pmh:oai:ria.ua.pt:10773/18079","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/18079","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference object"}],"best_oa_location":{"id":"pmh:oai:ria.ua.pt:10773/18079","is_oa":true,"landing_page_url":"http://hdl.handle.net/10773/18079","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"conference object"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1974991315","https://openalex.org/W2022069541","https://openalex.org/W2095980332","https://openalex.org/W2139416652","https://openalex.org/W2610282879","https://openalex.org/W2885986763"],"related_works":["https://openalex.org/W2209506458","https://openalex.org/W2158222171","https://openalex.org/W2075640816","https://openalex.org/W1580452828","https://openalex.org/W792671342","https://openalex.org/W1851307089","https://openalex.org/W2015741799","https://openalex.org/W2133192723","https://openalex.org/W2139406003","https://openalex.org/W2241627361"],"abstract_inverted_index":{"So":[0],"far,":[1],"in":[2,75],"the":[3,15,22,30,37,69,76],"area":[4],"of":[5,121,124],"Random":[6],"Linear":[7],"Network":[8],"Coding,":[9],"attention":[10],"has":[11],"been":[12],"given":[13],"to":[14,28,42],"so-called":[16],"one-shot":[17],"network":[18,23,38],"coding,":[19],"meaning":[20],"that":[21,111],"is":[24,64,84,114],"used":[25],"just":[26],"once":[27,41],"propagate":[29],"information.":[31],"In":[32,48],"contrast,":[33],"one":[34,70],"can":[35,72],"use":[36],"more":[39,66],"than":[40,68],"spread":[43],"redundancy":[44],"over":[45],"different":[46],"shots.":[47],"this":[49,58,98,112],"paper,":[50],"we":[51,62,109],"propose":[52],"rank":[53,81],"metric":[54],"convolutional":[55,87,106,126],"codes":[56],"for":[57,86],"purpose.":[59],"The":[60],"framework":[61],"present":[63],"slightly":[65],"general":[67],"which":[71,83],"be":[73],"found":[74],"literature.":[77],"We":[78],"introduce":[79],"a":[80,91,118,122],"distance,":[82],"suitable":[85],"codes,":[88],"and":[89],"derive":[90],"new":[92],"Singleton-like":[93],"upper":[94],"bound.":[95],"Codes":[96],"achieving":[97],"bound":[99,113],"are":[100],"called":[101],"Maximum":[102],"Rank":[103],"Distance":[104],"(MRD)":[105],"codes.":[107,127],"Finally,":[108],"prove":[110],"optimal":[115],"by":[116],"showing":[117],"concrete":[119],"construction":[120],"family":[123],"MRD":[125]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
