{"id":"https://openalex.org/W4285173758","doi":"https://doi.org/10.1109/tit.2022.3190676","title":"MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes","display_name":"MDS, Near-MDS or 2-MDS Self-Dual Codes via Twisted Generalized Reed-Solomon Codes","publication_year":2022,"publication_date":"2022-07-13","ids":{"openalex":"https://openalex.org/W4285173758","doi":"https://doi.org/10.1109/tit.2022.3190676"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3190676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3190676","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/A5063390132","display_name":"Junzhen Sui","orcid":"https://orcid.org/0000-0002-6358-5697"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Junzhen Sui","raw_affiliation_strings":["College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100786671","display_name":"Qin Yue","orcid":"https://orcid.org/0000-0002-2873-5549"},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]},{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qin Yue","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China","State Key Laboratory of Cryptology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100445554","display_name":"Xia Li","orcid":"https://orcid.org/0000-0001-9925-1026"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xia Li","raw_affiliation_strings":["College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Science, Nanjing University of Posts and Telecommunications, Nanjing, China","institution_ids":["https://openalex.org/I41198531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5077709816","display_name":"Daitao Huang","orcid":"https://orcid.org/0000-0002-1150-5843"},"institutions":[{"id":"https://openalex.org/I9842412","display_name":"Nanjing University of Aeronautics and Astronautics","ror":"https://ror.org/01scyh794","country_code":"CN","type":"education","lineage":["https://openalex.org/I9842412"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Daitao Huang","raw_affiliation_strings":["College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China"],"affiliations":[{"raw_affiliation_string":"College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China","institution_ids":["https://openalex.org/I9842412"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5063390132"],"corresponding_institution_ids":["https://openalex.org/I9842412"],"apc_list":null,"apc_paid":null,"fwci":5.2743,"has_fulltext":false,"cited_by_count":43,"citation_normalized_percentile":{"value":0.96063306,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"68","issue":"12","first_page":"7832","last_page":"7841"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.982699990272522,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9793000221252441,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.7794053554534912},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5448127388954163},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.536008358001709},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5202687978744507},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.5007140636444092},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.4951240122318268},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48730599880218506},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4700568914413452},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4693273901939392},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.46066370606422424},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.4167138934135437},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39806386828422546},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24654558300971985},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19439351558685303},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.12979558110237122},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06635046005249023}],"concepts":[{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.7794053554534912},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5448127388954163},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.536008358001709},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5202687978744507},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.5007140636444092},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.4951240122318268},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48730599880218506},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4700568914413452},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4693273901939392},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.46066370606422424},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.4167138934135437},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39806386828422546},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24654558300971985},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19439351558685303},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.12979558110237122},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06635046005249023},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3190676","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3190676","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/G3880141602","display_name":null,"funder_award_id":"61772015","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8021785736","display_name":null,"funder_award_id":"62172219","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W1977560552","https://openalex.org/W2058092035","https://openalex.org/W2061483889","https://openalex.org/W2088372202","https://openalex.org/W2101288164","https://openalex.org/W2104251118","https://openalex.org/W2114962404","https://openalex.org/W2121387622","https://openalex.org/W2152039952","https://openalex.org/W2284727451","https://openalex.org/W2576159841","https://openalex.org/W2592169574","https://openalex.org/W2887892895","https://openalex.org/W2901446015","https://openalex.org/W2933598060","https://openalex.org/W2941818581","https://openalex.org/W2945051308","https://openalex.org/W2951417062","https://openalex.org/W2963336182","https://openalex.org/W2963610864","https://openalex.org/W2973880421","https://openalex.org/W2991354072","https://openalex.org/W2997291310","https://openalex.org/W3088883112","https://openalex.org/W3104110479","https://openalex.org/W3133251668","https://openalex.org/W3155044924","https://openalex.org/W3166709961","https://openalex.org/W3167143870","https://openalex.org/W3167234496","https://openalex.org/W3178596712","https://openalex.org/W3210184338","https://openalex.org/W4239704585"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1968396483","https://openalex.org/W1798117689","https://openalex.org/W2293846540","https://openalex.org/W1976052006","https://openalex.org/W2060062708","https://openalex.org/W58580312","https://openalex.org/W1675804769","https://openalex.org/W4311033648"],"abstract_inverted_index":{"Twisted":[0],"generalized":[1,25],"Reed-Solomon":[2,26,42],"(TGRS)":[3],"codes":[4,9,20,75,89,97],"are":[5,22,76,98],"a":[6,12,34,40,51,57],"family":[7],"of":[8,15,69,87],"that":[10,21,39,56,95],"contains":[11],"large":[13],"number":[14],"maximum":[16],"distance":[17],"separable":[18],"(MDS)":[19],"non-equivalent":[23],"to":[24],"(GRS)":[27],"codes.":[28,72],"In":[29],"this":[30],"paper,":[31],"we":[32,82],"characterize":[33],"sufficient":[35,52],"and":[36,53,65,93],"necessary":[37,54],"condition":[38,55],"twisted":[41],"(TRS)":[43],"code":[44,59],"with":[45,60,90],"two":[46,61,91],"twists":[47,62,92],"is":[48,63],"MDS;":[49],"give":[50],"TGRS":[58,71,88],"self-dual,":[64],"present":[66],"some":[67],"constructions":[68],"self-dual":[70,74],"These":[73],"MDS,":[77],"NMDS":[78],"or":[79],"2-MDS.":[80],"Furthermore,":[81],"study":[83],"the":[84],"non-GRS":[85,99],"properties":[86],"prove":[94],"these":[96],"in":[100],"most":[101],"cases.":[102]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":20},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}