{"id":"https://openalex.org/W4289655065","doi":"https://doi.org/10.1109/isit50566.2022.9834359","title":"List Decoding of Quaternary Codes in the Lee Metric","display_name":"List Decoding of Quaternary Codes in the Lee Metric","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289655065","doi":"https://doi.org/10.1109/isit50566.2022.9834359"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834359","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834359","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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/A5056687416","display_name":"Marcus Greferath","orcid":"https://orcid.org/0000-0002-3102-4350"},"institutions":[{"id":"https://openalex.org/I100930933","display_name":"University College Dublin","ror":"https://ror.org/05m7pjf47","country_code":"IE","type":"education","lineage":["https://openalex.org/I100930933"]}],"countries":["IE"],"is_corresponding":true,"raw_author_name":"Marcus Greferath","raw_affiliation_strings":["University College Dublin,School of Mathematics and Statistics,Dublin,Republic of Ireland","School of Mathematics and Statistics, University College Dublin, Dublin, Republic of Ireland"],"affiliations":[{"raw_affiliation_string":"University College Dublin,School of Mathematics and Statistics,Dublin,Republic of Ireland","institution_ids":["https://openalex.org/I100930933"]},{"raw_affiliation_string":"School of Mathematics and Statistics, University College Dublin, Dublin, Republic of Ireland","institution_ids":["https://openalex.org/I100930933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019886277","display_name":"Jens Zumbr\u00e4gel","orcid":null},"institutions":[{"id":"https://openalex.org/I186354981","display_name":"University of Passau","ror":"https://ror.org/05ydjnb78","country_code":"DE","type":"education","lineage":["https://openalex.org/I186354981"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Jens Zumbr\u00e4gel","raw_affiliation_strings":["University of Passau,Faculty of Computer Science and Mathematics,Passau,Germany","Faculty of Computer Science and Mathematics, University of Passau, Passau, Germany"],"affiliations":[{"raw_affiliation_string":"University of Passau,Faculty of Computer Science and Mathematics,Passau,Germany","institution_ids":["https://openalex.org/I186354981"]},{"raw_affiliation_string":"Faculty of Computer Science and Mathematics, University of Passau, Passau, Germany","institution_ids":["https://openalex.org/I186354981"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056687416"],"corresponding_institution_ids":["https://openalex.org/I100930933"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06752173,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2333","last_page":"2337"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9980999827384949,"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/T10849","display_name":"Finite Group Theory Research","score":0.9930999875068665,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.7975815534591675},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.7309027314186096},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.7104515433311462},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.6797299385070801},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6435526609420776},{"id":"https://openalex.org/keywords/ring","display_name":"Ring (chemistry)","score":0.5668778419494629},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.49750569462776184},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4610016345977783},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4525635838508606},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4320482015609741},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37491297721862793},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.36531537771224976},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.361880362033844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34259432554244995},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.07340952754020691}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.7975815534591675},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.7309027314186096},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.7104515433311462},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.6797299385070801},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6435526609420776},{"id":"https://openalex.org/C2780378348","wikidata":"https://www.wikidata.org/wiki/Q25351438","display_name":"Ring (chemistry)","level":2,"score":0.5668778419494629},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.49750569462776184},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4610016345977783},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4525635838508606},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4320482015609741},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37491297721862793},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.36531537771224976},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.361880362033844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34259432554244995},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.07340952754020691},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834359","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834359","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","display_name":"Quality Education","score":0.4099999964237213}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W1965841830","https://openalex.org/W1999121964","https://openalex.org/W2022466783","https://openalex.org/W2032431003","https://openalex.org/W2038364420","https://openalex.org/W2066795426","https://openalex.org/W2067232511","https://openalex.org/W2089272132","https://openalex.org/W2101517582","https://openalex.org/W2114080789","https://openalex.org/W2567299240","https://openalex.org/W3103017684","https://openalex.org/W3197539179","https://openalex.org/W4205630623"],"related_works":["https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W2370284973","https://openalex.org/W2028976748","https://openalex.org/W2050784748","https://openalex.org/W2383267581","https://openalex.org/W2154603729","https://openalex.org/W2127999627","https://openalex.org/W2010879611","https://openalex.org/W2115785601"],"abstract_inverted_index":{"We":[0],"present":[1],"a":[2,20,58],"list":[3,23,46],"decoding":[4,24,35,47],"algorithm":[5,25,48],"for":[6,26,37,56],"quaternary":[7],"negacyclic":[8,38],"codes":[9,29,39],"over":[10,30,40],"the":[11,41,45,52],"Lee":[12],"metric.":[13],"To":[14],"achieve":[15],"this":[16],"result,":[17],"we":[18],"use":[19],"Sudan-Guruswami":[21],"type":[22],"Reed-":[27],"Solomon":[28],"certain":[31],"ring":[32,42],"alphabets.":[33],"Our":[34],"strategy":[36],"${\\mathbb{Z}_4}$":[43],"combines":[44],"by":[49],"Wu":[50],"with":[51],"Gr\u00f6bner":[53],"basis":[54],"approach":[55],"solving":[57],"key":[59],"equation":[60],"due":[61],"to":[62],"Byrne":[63],"and":[64],"Fitzpatrick.":[65]},"counts_by_year":[],"updated_date":"2026-03-14T06:41:57.775601","created_date":"2025-10-10T00:00:00"}
