{"id":"https://openalex.org/W3045665643","doi":null,"title":"Upper bound of t value of support t-designs of extremal Type III and IV codes.","display_name":"Upper bound of t value of support t-designs of extremal Type III and IV codes.","publication_year":2020,"publication_date":"2020-02-22","ids":{"openalex":"https://openalex.org/W3045665643","mag":"3045665643"},"language":"en","primary_location":{"id":"mag:3045665643","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.10942.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://arxiv.org/pdf/2002.10942.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5034831539","display_name":"Tsuyoshi Miezaki","orcid":"https://orcid.org/0000-0002-3656-9683","observed_orcids":["https://orcid.org/0000-0002-3656-9683"]},"institutions":[{"id":"https://openalex.org/I32915989","display_name":"University of the Ryukyus","ror":"https://ror.org/02z1n9q24","country_code":"JP","type":"education","lineage":["https://openalex.org/I32915989"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Tsuyoshi Miezaki","raw_affiliation_strings":["University of the Ryukyus"],"raw_orcid":"https://orcid.org/0000-0002-3656-9683","affiliations":[{"raw_affiliation_string":"University of the Ryukyus","institution_ids":["https://openalex.org/I32915989"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5006898210","display_name":"Hiroyuki Nakasora","orcid":"https://orcid.org/0000-0003-0883-7940","observed_orcids":["https://orcid.org/0000-0003-0883-7940"]},"institutions":[{"id":"https://openalex.org/I27650515","display_name":"Kobe Gakuin University","ror":"https://ror.org/018v0zv10","country_code":"JP","type":"education","lineage":["https://openalex.org/I27650515"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Hiroyuki Nakasora","raw_affiliation_strings":["Kobe Gakuin University"],"raw_orcid":"https://orcid.org/0000-0003-0883-7940","affiliations":[{"raw_affiliation_string":"Kobe Gakuin University","institution_ids":["https://openalex.org/I27650515"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9648000001907349,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9648000001907349,"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"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.021800000220537186,"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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.00800000037997961,"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/support-design","display_name":"support design","score":0.7509999871253967},{"id":"https://openalex.org/keywords/t-designs","display_name":"t-designs","score":0.972000002861023},{"id":"https://openalex.org/keywords/upper-bounds","display_name":"upper bounds","score":0.6980000138282776},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"weight distribution","score":0.4749999940395355},{"id":"https://openalex.org/keywords/binary-codes","display_name":"binary codes","score":0.45500001311302185}],"concepts":[{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.8121342658996582},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.690908670425415},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.6752731204032898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6140541434288025},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5733091235160828},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4481217861175537},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4468749165534973},{"id":"https://openalex.org/C5072461","wikidata":"https://www.wikidata.org/wiki/Q49506","display_name":"Delta","level":2,"score":0.4190950393676758},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38225066661834717},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18657511472702026},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.147040456533432},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14204221963882446},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06144943833351135},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","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/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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":"mag:3045665643","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.10942.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null}],"best_oa_location":{"id":"mag:3045665643","doi":null,"is_oa":true,"landing_page_url":"http://arxiv.org/pdf/2002.10942.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W179435455","https://openalex.org/W1564506078","https://openalex.org/W1603658147","https://openalex.org/W1969611510","https://openalex.org/W1984083375","https://openalex.org/W1995990042","https://openalex.org/W2009136258","https://openalex.org/W2045631983","https://openalex.org/W2124980282","https://openalex.org/W2133424781","https://openalex.org/W2150708573","https://openalex.org/W2577741764","https://openalex.org/W2909170733","https://openalex.org/W2966894425"],"related_works":["https://openalex.org/W3007825594","https://openalex.org/W4285993184","https://openalex.org/W1969611510","https://openalex.org/W2949824304","https://openalex.org/W2009136258","https://openalex.org/W1978659343","https://openalex.org/W3175644973","https://openalex.org/W2028652280","https://openalex.org/W1993191758","https://openalex.org/W2014332209"],"abstract_inverted_index":{"Let":[0],"C":[1,17],"be":[2,12],"an":[3],"extremal":[4],"Type":[5],"III":[6],"or":[7],"IV":[8],"code":[9],"and":[10,28,74],"D_{w}":[11,41,59],"the":[13,24,32,47,64,69],"support":[14],"design":[15],"of":[16,72],"for":[18,38],"a":[19,43,55,61],"weight":[20],"w.":[21],"We":[22],"introduce":[23],"two":[25],"numbers":[26],"\\delta(C)":[27,30,73],"s(C):":[29],"is":[31,42,60],"largest":[33,48],"integer":[34,49],"t":[35,50],"such":[36,51,57],"that,":[37],"all":[39],"wight,":[40],"t-design;":[44],"s(C)":[45],"denotes":[46],"that":[52,58],"there":[53],"exists":[54],"w":[56],"t-design.":[62],"In":[63],"present":[65],"paper,":[66],"we":[67],"consider":[68],"possible":[70],"values":[71],"s(C).":[75]},"counts_by_year":[],"updated_date":"2026-10-16T09:59:22.235173","created_date":"2020-08-03T00:00:00"}