{"id":"https://openalex.org/W4289821394","doi":"https://doi.org/10.1109/tit.2022.3194914","title":"Constructions of MDS, Near MDS and Almost MDS Codes From Cyclic Subgroups of F*<i>q</i> <sup>2</sup>","display_name":"Constructions of MDS, Near MDS and Almost MDS Codes From Cyclic Subgroups of F*<i>q</i> <sup>2</sup>","publication_year":2022,"publication_date":"2022-08-05","ids":{"openalex":"https://openalex.org/W4289821394","doi":"https://doi.org/10.1109/tit.2022.3194914"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3194914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3194914","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/A5091187810","display_name":"Ziling Heng","orcid":"https://orcid.org/0000-0002-2630-4446"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ziling Heng","raw_affiliation_strings":["School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0002-2630-4446","affiliations":[{"raw_affiliation_string":"School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","institution_ids":[]},{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007426228","display_name":"Chengju Li","orcid":"https://orcid.org/0000-0002-2546-8641"},"institutions":[{"id":"https://openalex.org/I4210139618","display_name":"Shanghai Key Laboratory of Trustworthy Computing","ror":"https://ror.org/030qbr085","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210139618"]},{"id":"https://openalex.org/I66867065","display_name":"East China Normal University","ror":"https://ror.org/02n96ep67","country_code":"CN","type":"education","lineage":["https://openalex.org/I66867065"]},{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chengju Li","raw_affiliation_strings":["National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-2546-8641","affiliations":[{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]},{"raw_affiliation_string":"Shanghai Key Laboratory of Trustworthy Computing, East China Normal University, Shanghai, China","institution_ids":["https://openalex.org/I4210139618","https://openalex.org/I66867065"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5114973685","display_name":"Xinran Wang","orcid":"https://orcid.org/0000-0001-5092-5288"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xinran Wang","raw_affiliation_strings":["School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","National Mobile Communications Research Laboratory, Southeast University, Nanjing, China"],"raw_orcid":"https://orcid.org/0000-0001-5092-5288","affiliations":[{"raw_affiliation_string":"School of Science, Chang&#x2019;an University, Xi&#x2019;an, China","institution_ids":[]},{"raw_affiliation_string":"National Mobile Communications Research Laboratory, Southeast University, Nanjing, China","institution_ids":["https://openalex.org/I76569877"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091187810"],"corresponding_institution_ids":["https://openalex.org/I76569877"],"apc_list":null,"apc_paid":null,"fwci":1.9422,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.88118637,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":99},"biblio":{"volume":"68","issue":"12","first_page":"7817","last_page":"7831"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9959999918937683,"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":0.9926999807357788,"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/singleton","display_name":"Singleton","score":0.6114823222160339},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6056156754493713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5436661839485168},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5215294361114502},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.4771023392677307},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.47293686866760254},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.46775054931640625},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.436975359916687},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.4122445285320282},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.3765629231929779},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24089214205741882},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2205699384212494},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.21812307834625244}],"concepts":[{"id":"https://openalex.org/C117354338","wikidata":"https://www.wikidata.org/wiki/Q1165112","display_name":"Singleton","level":3,"score":0.6114823222160339},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6056156754493713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5436661839485168},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5215294361114502},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.4771023392677307},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.47293686866760254},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.46775054931640625},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.436975359916687},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.4122445285320282},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.3765629231929779},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24089214205741882},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2205699384212494},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.21812307834625244},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C2779234561","wikidata":"https://www.wikidata.org/wiki/Q11995","display_name":"Pregnancy","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3194914","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3194914","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/G1213129613","display_name":null,"funder_award_id":"11901049","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G163520829","display_name":null,"funder_award_id":"22QA1403200","funder_id":"https://openalex.org/F4320327803","funder_display_name":"Shanghai Rising-Star Program"},{"id":"https://openalex.org/G38700455","display_name":null,"funder_award_id":"2022D05","funder_id":"https://openalex.org/F4320324856","funder_display_name":"Southeast University"},{"id":"https://openalex.org/G7955105451","display_name":null,"funder_award_id":"12071138","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8846895906","display_name":null,"funder_award_id":"300102122202","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324856","display_name":"Southeast University","ror":"https://ror.org/04ct4d772"},{"id":"https://openalex.org/F4320327803","display_name":"Shanghai Rising-Star Program","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1137313232","https://openalex.org/W1519782116","https://openalex.org/W1891466382","https://openalex.org/W1917095352","https://openalex.org/W1993830711","https://openalex.org/W2008976700","https://openalex.org/W2009445227","https://openalex.org/W2012525201","https://openalex.org/W2034347399","https://openalex.org/W2050687505","https://openalex.org/W2093542519","https://openalex.org/W2122478589","https://openalex.org/W2138754237","https://openalex.org/W2162775065","https://openalex.org/W2342371336","https://openalex.org/W2488283090","https://openalex.org/W2808611543","https://openalex.org/W2901522846","https://openalex.org/W2952176369","https://openalex.org/W2963001399","https://openalex.org/W2963911258","https://openalex.org/W2964302506","https://openalex.org/W2988960354","https://openalex.org/W2991612643","https://openalex.org/W3022561029","https://openalex.org/W3022955236","https://openalex.org/W3088883112","https://openalex.org/W3094527023","https://openalex.org/W3119621083","https://openalex.org/W3127757824","https://openalex.org/W3167234496","https://openalex.org/W3171545851","https://openalex.org/W4206775542","https://openalex.org/W4239704585","https://openalex.org/W4247901601","https://openalex.org/W6790444582"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W832867880","https://openalex.org/W2147254059","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W917159298","https://openalex.org/W1992135520"],"abstract_inverted_index":{"Linear":[0],"codes":[1,34,60,79,95,100],"achieving":[2,5],"or":[3],"nearly":[4],"the":[6,52,78],"Singleton":[7],"bound":[8],"are":[9,57,96,104],"interesting":[10],"in":[11,61,81,101],"both":[12],"theory":[13],"and":[14,31,54,67],"practice.":[15],"The":[16,59,73],"objective":[17],"of":[18,27,40,77,90],"this":[19,50,62,82,102],"paper":[20,63,83,103],"is":[21,84],"to":[22,106],"construct":[23],"several":[24],"infinite":[25,88],"families":[26,89],"MDS,":[28],"near":[29],"MDS":[30,33],"almost":[32],"from":[35],"some":[36,99],"special":[37],"cyclic":[38],"subgroups":[39],"<inline-formula":[41],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[42],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[43],"<tex-math":[44],"notation=\"LaTeX\">${\\mathbb":[45],"{F}}_{q^{2}}^{*}$":[46],"</tex-math></inline-formula>":[47],".":[48],"To":[49],"end,":[51],"augmentation":[53],"extension":[55],"techniques":[56],"used.":[58],"have":[64],"flexible":[65],"parameters":[66],"their":[68],"lengths":[69],"could":[70],"be":[71,107],"large.":[72],"minimum":[74],"linear":[75],"locality":[76],"constructed":[80],"also":[85],"studied.":[86],"Some":[87],"optimal":[91],"linearly":[92],"locally":[93],"recoverable":[94],"obtained.":[97],"Besides,":[98],"proved":[105],"proper":[108],"for":[109],"error":[110],"detection.":[111]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}