{"id":"https://openalex.org/W2086120244","doi":"https://doi.org/10.1134/s003294600904005x","title":"Algebraic codes for network coding","display_name":"Algebraic codes for network coding","publication_year":2009,"publication_date":"2009-12-01","ids":{"openalex":"https://openalex.org/W2086120244","doi":"https://doi.org/10.1134/s003294600904005x","mag":"2086120244"},"language":"en","primary_location":{"id":"doi:10.1134/s003294600904005x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294600904005x","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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/A5058481417","display_name":"E.M. Gabidulin","orcid":null},"institutions":[{"id":"https://openalex.org/I153845743","display_name":"Moscow Institute of Physics and Technology","ror":"https://ror.org/00v0z9322","country_code":"RU","type":"education","lineage":["https://openalex.org/I153845743"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"E. M. Gabidulin","raw_affiliation_strings":["Moscow Institute of Physics and Technology (State University), Moscow, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Moscow Institute of Physics and Technology (State University), Moscow, Russia","institution_ids":["https://openalex.org/I153845743"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5045353828","display_name":"Martin Bossert","orcid":"https://orcid.org/0000-0002-3827-9065"},"institutions":[{"id":"https://openalex.org/I196349391","display_name":"Universit\u00e4t Ulm","ror":"https://ror.org/032000t02","country_code":"DE","type":"education","lineage":["https://openalex.org/I196349391"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Bossert","raw_affiliation_strings":["Ulm University, Ulm, Germany","Ulm University, Ulm , Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Ulm University, Ulm, Germany","institution_ids":["https://openalex.org/I196349391"]},{"raw_affiliation_string":"Ulm University, Ulm , Germany","institution_ids":["https://openalex.org/I196349391"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058481417"],"corresponding_institution_ids":["https://openalex.org/I153845743"],"apc_list":null,"apc_paid":null,"fwci":1.0892,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.79386807,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"45","issue":"4","first_page":"343","last_page":"356"},"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":0.9876999855041504,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9805999994277954,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8180965185165405},{"id":"https://openalex.org/keywords/subspace-topology","display_name":"Subspace topology","score":0.6277749538421631},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.5796127915382385},{"id":"https://openalex.org/keywords/linear-network-coding","display_name":"Linear network coding","score":0.5413022637367249},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5140622854232788},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5032705664634705},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47971004247665405},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.47922948002815247},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.47489896416664124},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.472993940114975},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.43139705061912537},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4146173596382141},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2687663435935974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12377426028251648},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.09827789664268494},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.07271072268486023}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8180965185165405},{"id":"https://openalex.org/C32834561","wikidata":"https://www.wikidata.org/wiki/Q660730","display_name":"Subspace topology","level":2,"score":0.6277749538421631},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5796127915382385},{"id":"https://openalex.org/C138293262","wikidata":"https://www.wikidata.org/wiki/Q1089578","display_name":"Linear network coding","level":3,"score":0.5413022637367249},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5140622854232788},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5032705664634705},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47971004247665405},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.47922948002815247},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.47489896416664124},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.472993940114975},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.43139705061912537},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4146173596382141},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2687663435935974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12377426028251648},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.09827789664268494},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.07271072268486023},{"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/C158379750","wikidata":"https://www.wikidata.org/wiki/Q214111","display_name":"Network packet","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s003294600904005x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294600904005x","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W68293075","https://openalex.org/W134319921","https://openalex.org/W1512964282","https://openalex.org/W1753813393","https://openalex.org/W1985627461","https://openalex.org/W1991982486","https://openalex.org/W2014554046","https://openalex.org/W2041089572","https://openalex.org/W2053524063","https://openalex.org/W2066433798","https://openalex.org/W2083270107","https://openalex.org/W2097149049","https://openalex.org/W2098922615","https://openalex.org/W2105781905","https://openalex.org/W2105831729","https://openalex.org/W2109831419","https://openalex.org/W2125306810","https://openalex.org/W2130350209","https://openalex.org/W2136237463","https://openalex.org/W2136395129","https://openalex.org/W2140868682","https://openalex.org/W2156840794","https://openalex.org/W2158610833","https://openalex.org/W2163304767","https://openalex.org/W2216728905","https://openalex.org/W2478362353","https://openalex.org/W2544805158","https://openalex.org/W2563871604","https://openalex.org/W2953009186","https://openalex.org/W3140093529","https://openalex.org/W4242163204"],"related_works":["https://openalex.org/W1980381208","https://openalex.org/W2364594919","https://openalex.org/W2212571888","https://openalex.org/W2219338811","https://openalex.org/W2167092671","https://openalex.org/W1861706286","https://openalex.org/W2149583853","https://openalex.org/W1120847856","https://openalex.org/W2103071251","https://openalex.org/W2093846049"],"abstract_inverted_index":{"The":[0],"subspace":[1,30],"metric":[2,31],"is":[3,14],"an":[4],"object":[5],"of":[6,27],"active":[7],"research":[8],"in":[9],"network":[10],"coding.":[11],"Nevertheless,":[12],"little":[13],"known":[15],"on":[16],"codes":[17,28,37,41],"over":[18,29],"this":[19],"metric.":[20],"In":[21],"the":[22,43],"present":[23],"paper,":[24],"several":[25],"classes":[26],"are":[32,53],"defined":[33],"and":[34,46],"investigated,":[35],"including":[36],"with":[38,42],"distance":[39],"2,":[40],"maximal":[44],"distance,":[45],"constant-distance":[47],"constant-dimension":[48],"codes.":[49],"Also,":[50],"Gilbert-type":[51],"bounds":[52],"presented.":[54]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
