{"id":"https://openalex.org/W4210872815","doi":"https://doi.org/10.1109/tit.2022.3150260","title":"Base Field Extension of AG Codes for Decoding","display_name":"Base Field Extension of AG Codes for Decoding","publication_year":2022,"publication_date":"2022-02-08","ids":{"openalex":"https://openalex.org/W4210872815","doi":"https://doi.org/10.1109/tit.2022.3150260"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3150260","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3150260","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5080014963","display_name":"Kwankyu Lee","orcid":"https://orcid.org/0000-0002-0880-3372"},"institutions":[{"id":"https://openalex.org/I152238500","display_name":"Chosun University","ror":"https://ror.org/01zt9a375","country_code":"KR","type":"education","lineage":["https://openalex.org/I152238500"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Kwankyu Lee","raw_affiliation_strings":["Department of Mathematics Education, Chosun University, Gwangju, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-0880-3372","affiliations":[{"raw_affiliation_string":"Department of Mathematics Education, Chosun University, Gwangju, South Korea","institution_ids":["https://openalex.org/I152238500"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5080014963"],"corresponding_institution_ids":["https://openalex.org/I152238500"],"apc_list":null,"apc_paid":null,"fwci":0.2624,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.58280487,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"68","issue":"6","first_page":"3740","last_page":"3743"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9883000254631042,"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/T11797","display_name":"graph theory and CDMA systems","score":0.984000027179718,"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/decoding-methods","display_name":"Decoding methods","score":0.8416739702224731},{"id":"https://openalex.org/keywords/berlekamp\u2013welch-algorithm","display_name":"Berlekamp\u2013Welch algorithm","score":0.7257370948791504},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.6760545372962952},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.6002340912818909},{"id":"https://openalex.org/keywords/sequential-decoding","display_name":"Sequential decoding","score":0.5955885648727417},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5094848275184631},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5045686960220337},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4983642101287842},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46663030982017517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39599040150642395},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3629443049430847},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2690318524837494},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.20782214403152466},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.09446769952774048}],"concepts":[{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.8416739702224731},{"id":"https://openalex.org/C132727834","wikidata":"https://www.wikidata.org/wiki/Q4892328","display_name":"Berlekamp\u2013Welch algorithm","level":5,"score":0.7257370948791504},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.6760545372962952},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.6002340912818909},{"id":"https://openalex.org/C193969084","wikidata":"https://www.wikidata.org/wiki/Q7452500","display_name":"Sequential decoding","level":4,"score":0.5955885648727417},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5094848275184631},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5045686960220337},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4983642101287842},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46663030982017517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39599040150642395},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3629443049430847},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2690318524837494},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.20782214403152466},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.09446769952774048},{"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/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/tit.2022.3150260","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3150260","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1191629810","display_name":null,"funder_award_id":"2017R1E1A1A03070613","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W15967873","https://openalex.org/W1557415002","https://openalex.org/W2025536681","https://openalex.org/W2097083932","https://openalex.org/W2144918607","https://openalex.org/W2479064976","https://openalex.org/W2790725193","https://openalex.org/W2963087137","https://openalex.org/W6600658134","https://openalex.org/W6784653092"],"related_works":["https://openalex.org/W2385322349","https://openalex.org/W2369600518","https://openalex.org/W2370284973","https://openalex.org/W2357077655","https://openalex.org/W2351361564","https://openalex.org/W2144831582","https://openalex.org/W2147329412","https://openalex.org/W2129423808","https://openalex.org/W4205451769","https://openalex.org/W1976480044"],"abstract_inverted_index":{"Previous":[0],"algorithms":[1],"for":[2,79],"decoding":[3,31,71,77,106],"AG":[4,52,81,93],"codes":[5,53,82],"up":[6],"to":[7,28],"the":[8,20,30,37,41,46,60,65,70],"designed":[9],"distance":[10],"all":[11,56,92],"assumed":[12],"existence":[13],"of":[14,40,45,67,69,87],"an":[15,84],"extra":[16,85],"rational":[17,57],"place":[18,25,47,86],"on":[19,59],"base":[21,38],"algebraic":[22],"curve.":[23,42],"The":[24,43],"is":[26,48],"used":[27],"solve":[29],"problem":[32],"by":[33,55],"linear":[34],"algebra":[35],"over":[36],"field":[39],"rationality":[44],"essential,":[49],"and":[50],"therefore":[51],"supported":[54],"places":[58],"curve":[61],"are":[62,101],"excluded":[63],"from":[64],"domain":[66],"applicability":[68],"algorithms.":[72],"This":[73],"paper":[74],"presents":[75],"a":[76,104],"algorithm":[78],"those":[80],"using":[83],"higher":[88],"degree.":[89],"Hence":[90],"finally":[91],"codes,":[94],"as":[95],"Goppa":[96],"defined":[97],"40":[98],"years":[99],"ago,":[100],"equipped":[102],"with":[103],"fast":[105],"algorithm.":[107]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}