{"id":"https://openalex.org/W3033074304","doi":"https://doi.org/10.3934/amc.2020088","title":"Infinite families of 2-designs from a class of non-binary Kasami cyclic codes","display_name":"Infinite families of 2-designs from a class of non-binary Kasami cyclic codes","publication_year":2020,"publication_date":"2020-06-15","ids":{"openalex":"https://openalex.org/W3033074304","doi":"https://doi.org/10.3934/amc.2020088","mag":"3033074304"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2020088","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020088","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=db500cd0-224d-4cad-be84-5ef0ae794684","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=db500cd0-224d-4cad-be84-5ef0ae794684","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101964033","display_name":"Rong Wang","orcid":"https://orcid.org/0000-0002-5986-6015"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rong Wang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101507366","display_name":"Xiaoni Du","orcid":"https://orcid.org/0000-0003-3997-7196"},"institutions":[{"id":"https://openalex.org/I68986083","display_name":"Northwest Normal University","ror":"https://ror.org/00gx3j908","country_code":"CN","type":"education","lineage":["https://openalex.org/I68986083"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaoni Du","raw_affiliation_strings":["College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Statistics, Northwest Normal University, Lanzhou, Gansu 730070, China","institution_ids":["https://openalex.org/I68986083"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027802106","display_name":"Cuiling Fan","orcid":"https://orcid.org/0000-0001-8467-9871"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Cuiling Fan","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, Sichuan 610000, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3911,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.68105064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"15","issue":"4","first_page":"663","last_page":"676"},"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":0.9987999796867371,"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":0.995199978351593,"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":0.8165478706359863},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5219582915306091},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4691654145717621},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.46741676330566406},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.43956878781318665},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.41401129961013794}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8165478706359863},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5219582915306091},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4691654145717621},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.46741676330566406},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.43956878781318665},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.41401129961013794}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2020088","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020088","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=db500cd0-224d-4cad-be84-5ef0ae794684","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2020088","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2020088","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=db500cd0-224d-4cad-be84-5ef0ae794684","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1592261758","https://openalex.org/W1606480398","https://openalex.org/W1870510797","https://openalex.org/W1973816571","https://openalex.org/W2015337464","https://openalex.org/W2029905326","https://openalex.org/W2044025988","https://openalex.org/W2044983034","https://openalex.org/W2128977329","https://openalex.org/W2157131579","https://openalex.org/W2488283090","https://openalex.org/W2808611543","https://openalex.org/W2944065484","https://openalex.org/W2962947453","https://openalex.org/W2963030145","https://openalex.org/W2991466664","https://openalex.org/W4206775542","https://openalex.org/W4211147273","https://openalex.org/W4233185505","https://openalex.org/W6630469555"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W2052507736","https://openalex.org/W2996205462","https://openalex.org/W2962814632"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>Combinatorial":[1],"<inline-formula><tex-math":[2,33,68,90,119],"id=\"M1\">\\begin{document}$":[3],"t":[4,35,70,92],"$\\end{document}</tex-math></inline-formula>-designs":[5,36,122],"have":[6,17],"been":[7,38],"an":[8],"important":[9],"research":[10],"subject":[11],"for":[12,44],"many":[13],"years,":[14],"as":[15],"they":[16],"wide":[18],"applications":[19],"in":[20,83,133],"coding":[21,30],"theory,":[22],"cryptography,":[23],"communications":[24],"and":[25,32,136],"statistics.":[26],"The":[27],"interplay":[28],"between":[29],"theory":[31],"id=\"M2\">\\begin{document}$":[34],"has":[37],"attracted":[39],"a":[40,52,67,80,84,89,103,130],"lot":[41],"of":[42,66,76,102,105,118,126],"attention":[43],"both":[45],"directions.":[46],"It":[47],"is":[48],"well":[49],"known":[50],"that":[51,73],"linear":[53,106],"code":[54,85],"over":[55],"any":[56],"finite":[57],"field":[58],"can":[59],"be":[60],"derived":[61,108],"from":[62,109,123],"the":[63,74,99,124],"incidence":[64],"matrix":[65],"id=\"M3\">\\begin{document}$":[69],"$\\end{document}</tex-math></inline-formula>-design,":[71],"meanwhile,":[72],"supports":[75,125],"all":[77,127],"codewords":[78,128],"with":[79,129],"fixed":[81,131],"weight":[82,100,132],"also":[86],"may":[87],"hold":[88],"id=\"M4\">\\begin{document}$":[91],"$\\end{document}</tex-math></inline-formula>-design.":[93],"In":[94],"this":[95],"paper,":[96],"by":[97],"determining":[98],"distribution":[101],"class":[104],"codes":[107],"non-binary":[110],"Kasami":[111],"cyclic":[112],"codes,":[113,135],"we":[114],"obtain":[115],"infinite":[116],"families":[117],"id=\"M5\">\\begin{document}$":[120],"2":[121],"these":[134],"calculate":[137],"their":[138],"parameters":[139],"explicitly.":[140]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2}],"updated_date":"2026-05-19T21:40:30.786675","created_date":"2025-10-10T00:00:00"}