{"id":"https://openalex.org/W2975303716","doi":"https://doi.org/10.1109/isit.2019.8849651","title":"Set-Codes with Small Intersections and Small Discrepancies","display_name":"Set-Codes with Small Intersections and Small Discrepancies","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2975303716","doi":"https://doi.org/10.1109/isit.2019.8849651","mag":"2975303716"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5008430584","display_name":"Ryan Gabrys","orcid":"https://orcid.org/0000-0002-9197-3371"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ryan Gabrys","raw_affiliation_strings":["University of Illinois at Urbana-Champaign (UIUC)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign (UIUC)","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031318960","display_name":"Son Hoang Dau","orcid":"https://orcid.org/0000-0002-2276-017X"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"H. Dau","raw_affiliation_strings":["Monash University, Melbourne, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Monash University, Melbourne, Australia","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038008468","display_name":"Charles J. Colbourn","orcid":"https://orcid.org/0000-0002-3104-9515"},"institutions":[{"id":"https://openalex.org/I55732556","display_name":"Arizona State University","ror":"https://ror.org/03efmqc40","country_code":"US","type":"education","lineage":["https://openalex.org/I55732556"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C. J. Colbourn","raw_affiliation_strings":["Arizona State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Arizona State University","institution_ids":["https://openalex.org/I55732556"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084947882","display_name":"Olgica Milenkovi\u0107","orcid":"https://orcid.org/0000-0002-1871-4912"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"O. Milenkovic","raw_affiliation_strings":["University of Illinois at Urbana-Champaign (UIUC)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign (UIUC)","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2359","last_page":"2363"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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/T12029","display_name":"DNA and Biological Computing","score":0.9998999834060669,"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/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9980999827384949,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9904999732971191,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/property","display_name":"Property (philosophy)","score":0.6566610336303711},{"id":"https://openalex.org/keywords/pairwise-comparison","display_name":"Pairwise comparison","score":0.6476091146469116},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6369214057922363},{"id":"https://openalex.org/keywords/transversal","display_name":"Transversal (combinatorics)","score":0.634046196937561},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5591668486595154},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5430760383605957},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5289692282676697},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.5060753226280212},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.48705556988716125},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4516521990299225},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4414345622062683},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4300021827220917},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.38716816902160645},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29105818271636963},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11118322610855103}],"concepts":[{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6566610336303711},{"id":"https://openalex.org/C184898388","wikidata":"https://www.wikidata.org/wiki/Q1435712","display_name":"Pairwise comparison","level":2,"score":0.6476091146469116},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6369214057922363},{"id":"https://openalex.org/C2780130068","wikidata":"https://www.wikidata.org/wiki/Q2208651","display_name":"Transversal (combinatorics)","level":2,"score":0.634046196937561},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5591668486595154},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5430760383605957},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5289692282676697},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.5060753226280212},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.48705556988716125},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4516521990299225},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4414345622062683},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4300021827220917},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.38716816902160645},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29105818271636963},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11118322610855103},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"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/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","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},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/isit.2019.8849651","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849651","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:alma.61RMIT_INST:11247516370001341","is_oa":false,"landing_page_url":"https://doi-org.ezproxy.lib.rmit.edu.au/10.1109/ISIT.2019.8849651","pdf_url":null,"source":{"id":"https://openalex.org/S4306402074","display_name":"RMIT Research Repository (RMIT University Library)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I82951845","host_organization_name":"RMIT University","host_organization_lineage":["https://openalex.org/I82951845"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1527951089","https://openalex.org/W1946587648","https://openalex.org/W1965142549","https://openalex.org/W1967175855","https://openalex.org/W1969996056","https://openalex.org/W1974833029","https://openalex.org/W2041210664","https://openalex.org/W2048716064","https://openalex.org/W2052900991","https://openalex.org/W2080064821","https://openalex.org/W2080872158","https://openalex.org/W2145190336","https://openalex.org/W2152553909","https://openalex.org/W2173468371","https://openalex.org/W2336019055","https://openalex.org/W2528104934","https://openalex.org/W2610849452","https://openalex.org/W2800594100","https://openalex.org/W2911835947","https://openalex.org/W2951269465","https://openalex.org/W2963960014","https://openalex.org/W2964162348","https://openalex.org/W2964304634","https://openalex.org/W2975303716","https://openalex.org/W4251596068","https://openalex.org/W4254448470","https://openalex.org/W4296927913","https://openalex.org/W6744690310"],"related_works":["https://openalex.org/W2772332644","https://openalex.org/W2914515209","https://openalex.org/W1564907238","https://openalex.org/W2366416021","https://openalex.org/W2153126276","https://openalex.org/W4234443931","https://openalex.org/W1486064475","https://openalex.org/W2512442007","https://openalex.org/W3009653673","https://openalex.org/W2170122480"],"abstract_inverted_index":{"We":[0],"are":[1],"concerned":[2],"with":[3],"the":[4,24,27,31,37,63,95],"problem":[5,101],"of":[6,10,30,36,53],"designing":[7],"large":[8],"families":[9],"subsets":[11],"over":[12],"a":[13],"common":[14],"labeled":[15],"ground":[16],"set":[17],"that":[18,26,59],"have":[19],"small":[20],"pairwise":[21],"intersections":[22],"and":[23,55,65],"property":[25],"maximum":[28],"discrepancy":[29],"label":[32],"values":[33],"within":[34],"each":[35],"sets":[38,64],"is":[39,103],"less":[40],"than":[41],"or":[42],"equal":[43],"to":[44,81,88,94],"one.":[45],"Our":[46],"results,":[47],"based":[48],"on":[49],"transversal":[50],"designs,":[51],"factorizations":[52],"packings":[54],"Latin":[56],"rectangles,":[57],"show":[58],"by":[60,105],"jointly":[61],"constructing":[62],"labeling":[66],"scheme,":[67],"one":[68],"can":[69],"achieve":[70],"optimal":[71],"family":[72],"sizes":[73],"for":[74,84],"many":[75],"parameter":[76],"choices.":[77],"Probabilistic":[78],"arguments":[79],"akin":[80],"those":[82],"used":[83],"pseudorandom":[85],"generators":[86],"lead":[87],"significantly":[89],"suboptimal":[90],"results":[91],"when":[92],"compared":[93],"proposed":[96],"combinatorial":[97],"methods.":[98],"The":[99],"design":[100],"considered":[102],"motivated":[104],"applications":[106],"in":[107],"molecular":[108],"data":[109],"storage.":[110]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2019,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}