{"id":"https://openalex.org/W3136293366","doi":"https://doi.org/10.1109/tit.2021.3067049","title":"A Construction of Minimal Linear Codes From Partial Difference Sets","display_name":"A Construction of Minimal Linear Codes From Partial Difference Sets","publication_year":2021,"publication_date":"2021-03-18","ids":{"openalex":"https://openalex.org/W3136293366","doi":"https://doi.org/10.1109/tit.2021.3067049","mag":"3136293366"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2021.3067049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3067049","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/A5100372988","display_name":"Ran Tao","orcid":"https://orcid.org/0000-0003-2064-7429"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ran Tao","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0003-2064-7429","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049623145","display_name":"Tao Feng","orcid":"https://orcid.org/0000-0002-3276-6129"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Feng","raw_affiliation_strings":["School of Mathematical Sciences, Zhejiang University, Hangzhou, China"],"raw_orcid":"https://orcid.org/0000-0002-3276-6129","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, Zhejiang University, Hangzhou, China","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029083578","display_name":"Weicong Li","orcid":"https://orcid.org/0000-0001-5759-2121"},"institutions":[{"id":"https://openalex.org/I3045169105","display_name":"Southern University of Science and Technology","ror":"https://ror.org/049tv2d57","country_code":"CN","type":"education","lineage":["https://openalex.org/I3045169105"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Weicong Li","raw_affiliation_strings":["Southern University of Science and Technology, Shenzhen, China"],"raw_orcid":"https://orcid.org/0000-0001-5759-2121","affiliations":[{"raw_affiliation_string":"Southern University of Science and Technology, Shenzhen, China","institution_ids":["https://openalex.org/I3045169105"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.9795,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.80088156,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"67","issue":"6","first_page":"3724","last_page":"3734"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/linear-code","display_name":"Linear code","score":0.6973842978477478},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6668235659599304},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6367621421813965},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5444622039794922},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.5419107675552368},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5105515718460083},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44547581672668457},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.43424201011657715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27174460887908936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2486090064048767},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2378719449043274},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.19930040836334229},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.07773810625076294}],"concepts":[{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6973842978477478},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6668235659599304},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6367621421813965},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5444622039794922},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.5419107675552368},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5105515718460083},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44547581672668457},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.43424201011657715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27174460887908936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2486090064048767},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2378719449043274},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.19930040836334229},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.07773810625076294},{"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/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2021.3067049","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2021.3067049","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/G3345355276","display_name":"\u6709\u9650\u6781\u7a7a\u95f4\u76f8\u5173\u7684\u51e0\u4f55\u7ed3\u6784\u7814\u7a76","funder_award_id":"11771392","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1516318957","https://openalex.org/W1533708960","https://openalex.org/W1805528006","https://openalex.org/W1965122162","https://openalex.org/W1966750408","https://openalex.org/W1983092615","https://openalex.org/W1998084064","https://openalex.org/W2098767506","https://openalex.org/W2101915041","https://openalex.org/W2120756519","https://openalex.org/W2123695891","https://openalex.org/W2127582285","https://openalex.org/W2150052232","https://openalex.org/W2153988305","https://openalex.org/W2163834165","https://openalex.org/W2732251371","https://openalex.org/W2792402434","https://openalex.org/W2885288037","https://openalex.org/W2945755178","https://openalex.org/W2963208638","https://openalex.org/W2964302506","https://openalex.org/W3005438725","https://openalex.org/W3008041837","https://openalex.org/W3009266644","https://openalex.org/W3024225157","https://openalex.org/W3125331216","https://openalex.org/W4238591275","https://openalex.org/W6601219745","https://openalex.org/W6631971421"],"related_works":["https://openalex.org/W3119163369","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"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"study":[4],"a":[5,18,23,30,34,39],"class":[6],"of":[7,14,17],"linear":[8,36,49,70],"codes":[9,50,71],"defined":[10],"by":[11,38,58],"characteristic":[12],"functions":[13],"certain":[15],"subsets":[16],"finite":[19],"field.":[20],"We":[21,42,63],"derive":[22],"sufficient":[24],"and":[25,81],"necessary":[26],"condition":[27,57],"for":[28],"such":[29],"code":[31,37],"to":[32],"be":[33],"minimal":[35,48,69],"character-theoretical":[40],"approach.":[41],"obtain":[43],"new":[44],"three-weight":[45],"or":[46],"four-weight":[47],"that":[51,65,72],"do":[52,73],"not":[53,74],"satisfy":[54],"the":[55],"Ashikhmin-Barg":[56],"using":[59],"partial":[60],"difference":[61],"sets.":[62],"show":[64],"our":[66],"construction":[67],"yields":[68],"arise":[75],"from":[76],"cutting":[77],"vectorial":[78],"blocking":[79],"sets,":[80],"also":[82],"discuss":[83],"their":[84],"applications":[85],"in":[86],"secret":[87],"sharing":[88],"schemes.":[89]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
