{"id":"https://openalex.org/W3037085029","doi":"https://doi.org/10.1007/s12190-020-01383-y","title":"The minimum Hamming distances of repeated-root cyclic codes of length $$6p^s$$ and their MDS codes","display_name":"The minimum Hamming distances of repeated-root cyclic codes of length $$6p^s$$ and their MDS codes","publication_year":2020,"publication_date":"2020-06-29","ids":{"openalex":"https://openalex.org/W3037085029","doi":"https://doi.org/10.1007/s12190-020-01383-y","mag":"3037085029"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01383-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01383-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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/A5101828088","display_name":"Ying Gao","orcid":"https://orcid.org/0000-0002-8925-8192"},"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":true,"raw_author_name":"Ying Gao","raw_affiliation_strings":["Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People\u2019s Republic of China","State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People\u2019s Republic of China","State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People's Republic of China","Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People\u2019s Republic of China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210132990"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People's Republic of China","institution_ids":["https://openalex.org/I4210132990"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People's Republic of 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, 211100, People\u2019s Republic of China","State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People\u2019s Republic of China","Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People's Republic of China","State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People\u2019s Republic of China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210132990"]},{"raw_affiliation_string":"Department of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing, 211100, People's Republic of China","institution_ids":["https://openalex.org/I9842412"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, People's Republic of China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102000741","display_name":"Fengwei Li","orcid":"https://orcid.org/0000-0002-9493-2890"},"institutions":[{"id":"https://openalex.org/I4210159676","display_name":"Zaozhuang University","ror":"https://ror.org/05x21tp94","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210159676"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fengwei Li","raw_affiliation_strings":["School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, People\u2019s Republic of China","School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4210159676"]},{"raw_affiliation_string":"School of Mathematics and Statistics, Zaozhuang University, Zaozhuang, 277160, People's Republic of China","institution_ids":["https://openalex.org/I4210159676"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101828088"],"corresponding_institution_ids":["https://openalex.org/I4210132990","https://openalex.org/I9842412"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.0686064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"65","issue":"1-2","first_page":"107","last_page":"123"},"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":0.9975000023841858,"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":0.9876999855041504,"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/mathematics","display_name":"Mathematics","score":0.8187522292137146},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.7590955495834351},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7232661247253418},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6808682680130005},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5904563665390015},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5542560815811157},{"id":"https://openalex.org/keywords/cyclic-code","display_name":"Cyclic code","score":0.5338534116744995},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.49609169363975525},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.4754188656806946},{"id":"https://openalex.org/keywords/minimum-distance","display_name":"Minimum distance","score":0.46749794483184814},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4674070179462433},{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.46482518315315247},{"id":"https://openalex.org/keywords/root","display_name":"Root (linguistics)","score":0.4528811573982239},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.32427531480789185},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.2486129105091095},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14538541436195374},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06827661395072937}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8187522292137146},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.7590955495834351},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7232661247253418},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6808682680130005},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5904563665390015},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5542560815811157},{"id":"https://openalex.org/C2096984","wikidata":"https://www.wikidata.org/wiki/Q245464","display_name":"Cyclic code","level":5,"score":0.5338534116744995},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.49609169363975525},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.4754188656806946},{"id":"https://openalex.org/C3018063660","wikidata":"https://www.wikidata.org/wiki/Q6865448","display_name":"Minimum distance","level":2,"score":0.46749794483184814},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4674070179462433},{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.46482518315315247},{"id":"https://openalex.org/C171078966","wikidata":"https://www.wikidata.org/wiki/Q111029","display_name":"Root (linguistics)","level":2,"score":0.4528811573982239},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.32427531480789185},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2486129105091095},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14538541436195374},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06827661395072937},{"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"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/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-020-01383-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01383-y","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","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"}],"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":32,"referenced_works":["https://openalex.org/W149695902","https://openalex.org/W1541021634","https://openalex.org/W1781717270","https://openalex.org/W1964105902","https://openalex.org/W1969945141","https://openalex.org/W1983483270","https://openalex.org/W1985655855","https://openalex.org/W2008595375","https://openalex.org/W2020484625","https://openalex.org/W2052503266","https://openalex.org/W2061268162","https://openalex.org/W2099693138","https://openalex.org/W2102759336","https://openalex.org/W2110353549","https://openalex.org/W2117293282","https://openalex.org/W2122478589","https://openalex.org/W2123695891","https://openalex.org/W2143062461","https://openalex.org/W2161496548","https://openalex.org/W2228651896","https://openalex.org/W2268838648","https://openalex.org/W2472681438","https://openalex.org/W2809548040","https://openalex.org/W2895239415","https://openalex.org/W2914007647","https://openalex.org/W2950816668","https://openalex.org/W2964265029","https://openalex.org/W3007389347","https://openalex.org/W3099891790","https://openalex.org/W3141217652","https://openalex.org/W4210296975","https://openalex.org/W4249608945"],"related_works":["https://openalex.org/W2963553930","https://openalex.org/W2963243225","https://openalex.org/W2371410523","https://openalex.org/W2115572740","https://openalex.org/W2238578788","https://openalex.org/W2111330432","https://openalex.org/W2157171589","https://openalex.org/W2173495775","https://openalex.org/W2364890299","https://openalex.org/W4380714746"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}