{"id":"https://openalex.org/W2022065048","doi":"https://doi.org/10.1137/08071750x","title":"On Block Sequences of Steiner Quadruple Systems with Error Correcting Consecutive Unions","display_name":"On Block Sequences of Steiner Quadruple Systems with Error Correcting Consecutive Unions","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W2022065048","doi":"https://doi.org/10.1137/08071750x","mag":"2022065048"},"language":"en","primary_location":{"id":"doi:10.1137/08071750x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08071750x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://tsukuba.repo.nii.ac.jp/record/18014/files/SIAM_JDM_23-2.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5029449317","display_name":"Gennian Ge","orcid":"https://orcid.org/0000-0002-1535-0754"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gennian Ge","raw_affiliation_strings":["[email\u00a0protected]#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"[email\u00a0protected]#TAB#","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000790951","display_name":"Ying Miao","orcid":"https://orcid.org/0000-0002-9086-8668"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ying Miao","raw_affiliation_strings":["miao@sk.tsukuba.ac.jp#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"miao@sk.tsukuba.ac.jp#TAB#","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046105120","display_name":"Xiande Zhang","orcid":"https://orcid.org/0000-0003-4234-3610"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Xiande Zhang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.1115029,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"23","issue":"2","first_page":"940","last_page":"958"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11754","display_name":"SARS-CoV-2 detection and testing","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/2725","display_name":"Infectious Diseases"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}},{"id":"https://openalex.org/T11112","display_name":"Viral Infections and Immunology Research","score":0.9695000052452087,"subfield":{"id":"https://openalex.org/subfields/2705","display_name":"Cardiology and Cardiovascular Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8572782874107361},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7918218374252319},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7320646643638611},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.667524516582489},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.456913560628891},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4293111562728882},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.12238353490829468}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8572782874107361},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7918218374252319},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7320646643638611},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.667524516582489},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.456913560628891},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4293111562728882},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.12238353490829468},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/08071750x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/08071750x","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:tsukuba.repo.nii.ac.jp:00018014","is_oa":true,"landing_page_url":"http://hdl.handle.net/2241/103254","pdf_url":"https://tsukuba.repo.nii.ac.jp/record/18014/files/SIAM_JDM_23-2.pdf","source":{"id":"https://openalex.org/S4306402076","display_name":"Terrestrial Environment Research Center (University of Tsukuba)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I146399215","host_organization_name":"University of Tsukuba","host_organization_lineage":["https://openalex.org/I146399215"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.568.368","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.568.368","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.tulips.tsukuba.ac.jp/dspace/bitstream/2241/103254/1/SIAM_JDM_23-2.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:tsukuba.repo.nii.ac.jp:00018014","is_oa":true,"landing_page_url":"http://hdl.handle.net/2241/103254","pdf_url":"https://tsukuba.repo.nii.ac.jp/record/18014/files/SIAM_JDM_23-2.pdf","source":{"id":"https://openalex.org/S4306402076","display_name":"Terrestrial Environment Research Center (University of Tsukuba)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I146399215","host_organization_name":"University of Tsukuba","host_organization_lineage":["https://openalex.org/I146399215"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1349934383","display_name":null,"funder_award_id":"10825103","funder_id":"https://openalex.org/F4320336024","funder_display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China"},{"id":"https://openalex.org/G3920037952","display_name":null,"funder_award_id":"10825103","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8289478678","display_name":"\u4fe1\u606f\u79d1\u5b66\u4e2d\u82e5\u5e72\u7ec4\u5408\u6784\u5f62\u7814\u7a76","funder_award_id":"10771193","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"},{"id":"https://openalex.org/F4320334924","display_name":"Program for New Century Excellent Talents in University","ror":"https://ror.org/01mv9t934"},{"id":"https://openalex.org/F4320336024","display_name":"Specialized Research Fund for the Doctoral Program of Higher Education of China","ror":null},{"id":"https://openalex.org/F4320338464","display_name":"Natural Science Foundation of Zhejiang Province","ror":"https://ror.org/01h0zpd94"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022065048.pdf","grobid_xml":"https://content.openalex.org/works/W2022065048.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W1544735579","https://openalex.org/W1975680434","https://openalex.org/W1999042668","https://openalex.org/W2001716968","https://openalex.org/W2003249853","https://openalex.org/W2031085862","https://openalex.org/W2045771243","https://openalex.org/W2054146867","https://openalex.org/W2084397557","https://openalex.org/W2093127198","https://openalex.org/W2107406652","https://openalex.org/W2156201854","https://openalex.org/W2318203863","https://openalex.org/W4213366122","https://openalex.org/W4285719527"],"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/W1991411408","https://openalex.org/W2372403409","https://openalex.org/W2348534359"],"abstract_inverted_index":{"Motivated":[0],"by":[1,72],"applications":[2],"in":[3],"combinatorial":[4],"group":[5],"testing":[6],"for":[7,84],"consecutive":[8,40,64],"positives,":[9],"we":[10,78],"investigate":[11],"a":[12,16,55,60],"block":[13,61],"sequence":[14,44,56,62],"of":[15,31,38,42,87,90],"maximum":[17],"packing":[18],"$MP":[19],"(t,k,v)$":[20],"which":[21],"contains":[22],"the":[23,29,81,85],"blocks":[24,33,41],"exactly":[25],"once":[26],"such":[27],"that":[28,80],"collection":[30],"all":[32,36],"together":[34],"with":[35,50,63],"unions":[37,65],"two":[39],"this":[43,76],"forms":[45],"an":[46],"error":[47],"correcting":[48],"code":[49],"minimum":[51,67],"distance":[52,68],"d.":[53],"Such":[54],"is":[57],"usually":[58],"called":[59],"having":[66],"d,":[69],"and":[70,98],"denoted":[71],"$BSCU":[73,88],"(t,k,v|d)$.":[74],"In":[75],"paper,":[77],"show":[79],"necessary":[82],"conditions":[83],"existence":[86],"(3,4,v|4)$s":[89],"Steiner":[91],"quadruple":[92],"systems,":[93],"namely,":[94],"$v\\equiv2,4$":[95],"(mod":[96],"6)":[97],"$v\\geq4$,":[99],"are":[100],"also":[101],"sufficient,":[102],"excepting":[103],"$v=8,10$.":[104]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}