{"id":"https://openalex.org/W2130459164","doi":"https://doi.org/10.1109/isit.2013.6620422","title":"On the dimension of graph codes with Reed-Solomon component codes","display_name":"On the dimension of graph codes with Reed-Solomon component codes","publication_year":2013,"publication_date":"2013-07-01","ids":{"openalex":"https://openalex.org/W2130459164","doi":"https://doi.org/10.1109/isit.2013.6620422","mag":"2130459164"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2013.6620422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-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/A5017069208","display_name":"Peter Beelen","orcid":"https://orcid.org/0000-0003-1218-2422"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Peter Beelen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Denmark","Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061203057","display_name":"Tom H\u00f8holdt","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Tom Hoholdt","raw_affiliation_strings":["Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5022496926","display_name":"Fernando Pi\u00f1ero","orcid":"https://orcid.org/0000-0002-9714-7249"},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Fernando Pinero","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark, Denmark","Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark, Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Dept. of Appl. Math. & Comput. Sci., Tech. Univ. of Denmark, Lyngby, Denmark","institution_ids":["https://openalex.org/I96673099"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105887807","display_name":"J\u00f8rn Justesen","orcid":null},"institutions":[{"id":"https://openalex.org/I96673099","display_name":"Technical University of Denmark","ror":"https://ror.org/04qtj9h94","country_code":"DK","type":"education","lineage":["https://openalex.org/I96673099"]}],"countries":["DK"],"is_corresponding":false,"raw_author_name":"Jorn Justesen","raw_affiliation_strings":["Department of Applied Mathematics and Computer Science, Technical University of Denmark","Department of Applied Mathematics and Computer Science Technical University of Denmark"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science, Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]},{"raw_affiliation_string":"Department of Applied Mathematics and Computer Science Technical University of Denmark","institution_ids":["https://openalex.org/I96673099"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7545,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.77475822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"1","issue":null,"first_page":"1227","last_page":"1231"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9997000098228455,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9997000098228455,"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":0.995199978351593,"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":0.9940999746322632,"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/block-code","display_name":"Block code","score":0.5754072070121765},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.5593960285186768},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5570917129516602},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.5366617441177368},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.5306248664855957},{"id":"https://openalex.org/keywords/factor-graph","display_name":"Factor graph","score":0.4699842035770416},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.456973671913147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43603166937828064},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4143259823322296},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38671553134918213},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.19926124811172485},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08327159285545349}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5754072070121765},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.5593960285186768},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5570917129516602},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.5366617441177368},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.5306248664855957},{"id":"https://openalex.org/C159246509","wikidata":"https://www.wikidata.org/wiki/Q5428725","display_name":"Factor graph","level":3,"score":0.4699842035770416},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.456973671913147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43603166937828064},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4143259823322296},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38671553134918213},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.19926124811172485},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08327159285545349}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2013.6620422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2013.6620422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2013 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.atira.dk:publications/0f3d0d35-7653-40e9-8548-a5d40abc1666","is_oa":false,"landing_page_url":"https://orbit.dtu.dk/en/publications/0f3d0d35-7653-40e9-8548-a5d40abc1666","pdf_url":null,"source":{"id":"https://openalex.org/S4306400705","display_name":"Technical University of Denmark, DTU Orbit (Technical University of Denmark, DTU)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I96673099","host_organization_name":"Technical University of Denmark","host_organization_lineage":["https://openalex.org/I96673099"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Beelen , P , H\u00f8holdt , T , Pinero , F & Justesen , J 2013 , On the Dimension of Graph Codes with Reed\u2013Solomon Component Codes . in 2013 IEEE International Symposium on Information Theory Proceedings (ISIT) . IEEE , pp. 1227-1231 , 2013 IEEE International Symposium on Information Theory , Istanbul , Turkey , 07/07/2013 . https://doi.org/10.1109/ISIT.2013.6620422","raw_type":"contributionToPeriodical"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320943","display_name":"Danmarks Grundforskningsfond","ror":"https://ror.org/00znyv691"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W2048932125","https://openalex.org/W2107787044","https://openalex.org/W2133068391","https://openalex.org/W2153471038","https://openalex.org/W2293231900","https://openalex.org/W2319466955","https://openalex.org/W2328598177","https://openalex.org/W2895239415"],"related_works":["https://openalex.org/W2293846540","https://openalex.org/W1976052006","https://openalex.org/W3088883112","https://openalex.org/W3021758908","https://openalex.org/W2041319252","https://openalex.org/W1798117689","https://openalex.org/W3085073875","https://openalex.org/W2183278822","https://openalex.org/W3167143870","https://openalex.org/W4250675451"],"abstract_inverted_index":{"We":[0,16,29],"study":[1],"a":[2,18],"class":[3],"of":[4,20,24,34,42,45],"graph":[5,25,47],"based":[6],"codes":[7,11,26,36,48],"with":[8],"Reed-Solomon":[9],"component":[10],"as":[12],"affine":[13],"variety":[14],"codes.":[15],"give":[17,30],"formulation":[19],"the":[21,39,43,46],"exact":[22,40],"dimension":[23,44],"in":[27],"general.":[28],"an":[31],"algebraic":[32],"description":[33],"these":[35],"which":[37],"makes":[38],"computation":[41],"easier.":[49]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}