{"id":"https://openalex.org/W1499686714","doi":"https://doi.org/10.1109/itw.2015.7133150","title":"On adaptive linear programming decoding of ternary linear codes","display_name":"On adaptive linear programming decoding of ternary linear codes","publication_year":2015,"publication_date":"2015-04-01","ids":{"openalex":"https://openalex.org/W1499686714","doi":"https://doi.org/10.1109/itw.2015.7133150","mag":"1499686714"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2015.7133150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2015.7133150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop (ITW)","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/A5090738616","display_name":"Eirik Rosnes","orcid":"https://orcid.org/0000-0001-8236-6601"},"institutions":[{"id":"https://openalex.org/I2799829267","display_name":"Simula Research Laboratory","ror":"https://ror.org/00vn06n10","country_code":"NO","type":"facility","lineage":["https://openalex.org/I2799829267"]},{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Eirik Rosnes","raw_affiliation_strings":["Department of Informatics, The Simula Research Lab, Bergen, Norway","Department of Informatics, University of Bergen, N-5020, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, The Simula Research Lab, Bergen, Norway","institution_ids":["https://openalex.org/I2799829267"]},{"raw_affiliation_string":"Department of Informatics, University of Bergen, N-5020, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5001833921","display_name":"Michael Helmling","orcid":"https://orcid.org/0000-0002-9133-7076"},"institutions":[{"id":"https://openalex.org/I2802076133","display_name":"University of Koblenz and Landau","ror":"https://ror.org/01j9f6752","country_code":"DE","type":"education","lineage":["https://openalex.org/I2802076133"]},{"id":"https://openalex.org/I4387153937","display_name":"Universit\u00e4t Koblenz","ror":"https://ror.org/0433e6t24","country_code":null,"type":"education","lineage":["https://openalex.org/I4387153937"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Helmling","raw_affiliation_strings":["Mathematical Institute, University of Koblenz-Landau, Koblenz, Germany","Mathematical Institute, University of Koblenz-Landau, 50722, Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematical Institute, University of Koblenz-Landau, Koblenz, Germany","institution_ids":["https://openalex.org/I2802076133","https://openalex.org/I4387153937"]},{"raw_affiliation_string":"Mathematical Institute, University of Koblenz-Landau, 50722, Germany","institution_ids":["https://openalex.org/I2802076133","https://openalex.org/I4387153937"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4026,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.83017964,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9958999752998352,"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/T11409","display_name":"Advanced Wireless Network Optimization","score":0.9902999997138977,"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/finite-field","display_name":"Finite field","score":0.7231053709983826},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.5930880904197693},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5748129487037659},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.5641714334487915},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5049622654914856},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.49577078223228455},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.4724424481391907},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46821287274360657},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.43969377875328064},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4352893531322479},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4048571288585663},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3915729522705078},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3356759548187256},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.28433957695961},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09613081812858582}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7231053709983826},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.5930880904197693},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5748129487037659},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.5641714334487915},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5049622654914856},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.49577078223228455},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.4724424481391907},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46821287274360657},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.43969377875328064},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4352893531322479},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4048571288585663},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3915729522705078},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3356759548187256},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.28433957695961},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09613081812858582},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2015.7133150","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2015.7133150","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2015 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1644601915","https://openalex.org/W1875056259","https://openalex.org/W2038115820","https://openalex.org/W2065212815","https://openalex.org/W2068582919","https://openalex.org/W2078633872","https://openalex.org/W2169134868","https://openalex.org/W2170862479","https://openalex.org/W2952346284","https://openalex.org/W2963036798","https://openalex.org/W3098358453","https://openalex.org/W4302194958","https://openalex.org/W6639344520","https://openalex.org/W6764775184"],"related_works":["https://openalex.org/W88624181","https://openalex.org/W2910428196","https://openalex.org/W2070443794","https://openalex.org/W2369939250","https://openalex.org/W2928193004","https://openalex.org/W2914488349","https://openalex.org/W2193481349","https://openalex.org/W2964302506","https://openalex.org/W2026316191","https://openalex.org/W83984714"],"abstract_inverted_index":{"In":[0,31],"this":[1,57,75],"work,":[2],"we":[3,33,98],"consider":[4,100],"adaptive":[5,65],"linear":[6,12,16],"programming":[7],"(LP)":[8],"decoding":[9],"of":[10,43,50,103],"ternary":[11,52,69],"codes,":[13],"i.":[14],"e.,":[15],"codes":[17,105],"over":[18,106],"the":[19,36,40,44,101,107],"finite":[20,108],"field":[21,109],"F":[22,110],"<sub":[23,111],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[24,112,119],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[25,113],"with":[26,89,114],"q":[27,115],"=":[28,116],"3":[29,117],"elements.":[30],"particular,":[32],"characterize":[34],"completely":[35],"codeword":[37],"polytope":[38],"(or":[39],"convex":[41],"hull)":[42],"binary":[45],"image,":[46],"under":[47],"Flanagan's":[48],"embedding,":[49],"a":[51,82,127],"single":[53],"parity-check":[54],"code.":[55],"Then,":[56],"characterization":[58],"is":[59,77,126],"used":[60],"to":[61,81],"develop":[62],"an":[63],"efficient":[64,79],"LP":[66,84],"decoder":[67,76,85],"for":[68],"codes.":[70],"Numerical":[71],"experiments":[72],"confirm":[73],"that":[74],"very":[78],"compared":[80],"static":[83],"and":[86,93],"scales":[87],"well":[88],"both":[90],"block":[91],"length":[92],"check":[94],"node":[95],"degree.":[96],"Finally,":[97],"briefly":[99],"case":[102],"nonbinary":[104],"<sup":[118],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m</sup>":[120],"elements,":[121],"where":[122],"m":[123],">":[124],"1":[125],"positive":[128],"integer.":[129]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
