{"id":"https://openalex.org/W2058906544","doi":"https://doi.org/10.1137/s0895480195295975","title":"A Construction for (t,m,s)-nets in Base q","display_name":"A Construction for (t,m,s)-nets in Base q","publication_year":1997,"publication_date":"1997-08-01","ids":{"openalex":"https://openalex.org/W2058906544","doi":"https://doi.org/10.1137/s0895480195295975","mag":"2058906544"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480195295975","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195295975","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004149416","display_name":"Michael J. Adams","orcid":"https://orcid.org/0000-0001-8844-042X"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Michael J. Adams","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5004584423","display_name":"Bryan L. Shader","orcid":"https://orcid.org/0000-0002-4407-4840"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Bryan L. Shader","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004149416"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.1878,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.9100621,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"3","first_page":"460","last_page":"468"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9993000030517578,"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/T11130","display_name":"Coding theory and cryptography","score":0.993399977684021,"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/T11032","display_name":"VLSI and Analog Circuit Testing","score":0.9758999943733215,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.7612118721008301},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7579196691513062},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.750160813331604},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6555255651473999},{"id":"https://openalex.org/keywords/prime-power","display_name":"Prime power","score":0.6515101194381714},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.6022989749908447},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5279789566993713},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5201573967933655},{"id":"https://openalex.org/keywords/net","display_name":"Net (polyhedron)","score":0.44862160086631775},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.11326354742050171},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08087703585624695}],"concepts":[{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.7612118721008301},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7579196691513062},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.750160813331604},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6555255651473999},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.6515101194381714},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.6022989749908447},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5279789566993713},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5201573967933655},{"id":"https://openalex.org/C14166107","wikidata":"https://www.wikidata.org/wiki/Q253829","display_name":"Net (polyhedron)","level":2,"score":0.44862160086631775},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.11326354742050171},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08087703585624695},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480195295975","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480195295975","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"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.6600000262260437,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1965656255","https://openalex.org/W2009231757","https://openalex.org/W2009445227","https://openalex.org/W2043474783","https://openalex.org/W2064419768","https://openalex.org/W2076350013","https://openalex.org/W2078062550","https://openalex.org/W2090967619","https://openalex.org/W2140262981","https://openalex.org/W2322723874","https://openalex.org/W4255713959","https://openalex.org/W4300580367"],"related_works":["https://openalex.org/W2543275399","https://openalex.org/W1974025154","https://openalex.org/W1998402533","https://openalex.org/W2069443110","https://openalex.org/W2292792029","https://openalex.org/W4380141713","https://openalex.org/W2177966018","https://openalex.org/W4302423208","https://openalex.org/W36763073","https://openalex.org/W2748002572"],"abstract_inverted_index":{"It":[0,64],"has":[1],"been":[2],"shown":[3,66],"that":[4,67],"(t,m,s)-nets":[5,33],"in":[6,34,55,89],"base":[7,35,90],"b":[8],"can":[9],"be":[10],"characterized":[11],"by":[12],"combinatorial":[13],"objects":[14],"known":[15],"as":[16],"generalized":[17,27],"orthogonal":[18,28],"arrays.":[19],"In":[20],"this":[21],"paper,":[22],"a":[23,38,87],"new":[24,32],"construction":[25,47],"for":[26,45],"arrays":[29],"leads":[30],"to":[31],"q,":[36],"q":[37,91],"prime":[39],"power.":[40],"The":[41],"basic":[42],"building":[43],"block":[44],"the":[46],"is":[48,65,81],"an":[49,71,82],"array":[50],"of":[51,59],"elements":[52],"over":[53],"Fq":[54],"which":[56],"certain":[57],"collections":[58],"rows":[60],"are":[61],"linearly":[62],"independent.":[63],"if":[68],"there":[69,85],"exists":[70,86],"[n,n-m,d]":[72],"q-ary":[73],"code":[74],"with":[75,92],"$d\\ge":[76],"6+2p$,":[77],"where":[78],"$p\\ge":[79],"0$":[80],"integer,":[83],"then":[84],"(t,m,s)-net":[88],"$t=m-(4+2p)$":[93],"and":[94],"$s=":[95],"\\lfloor":[96],"\\frac{n-1}{1+p}":[97],"\\rfloor$.":[98]},"counts_by_year":[{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
