{"id":"https://openalex.org/W1608623344","doi":"https://doi.org/10.37236/2776","title":"Enumeration of (16,4,16,4) Relative Difference Sets","display_name":"Enumeration of (16,4,16,4) Relative Difference Sets","publication_year":2013,"publication_date":"2013-03-31","ids":{"openalex":"https://openalex.org/W1608623344","doi":"https://doi.org/10.37236/2776","mag":"1608623344"},"language":"en","primary_location":{"id":"doi:10.37236/2776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p72/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p72/pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101996394","display_name":"David Clark","orcid":"https://orcid.org/0000-0002-1404-3963"},"institutions":[{"id":"https://openalex.org/I130238516","display_name":"University of Minnesota","ror":"https://ror.org/017zqws13","country_code":"US","type":"education","lineage":["https://openalex.org/I130238516"]},{"id":"https://openalex.org/I2800403580","display_name":"University of Minnesota System","ror":"https://ror.org/03grvy078","country_code":"US","type":"education","lineage":["https://openalex.org/I2800403580"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"David Clark","raw_affiliation_strings":["University of Minnesota","University of\u00a0Minnesota"],"affiliations":[{"raw_affiliation_string":"University of Minnesota","institution_ids":["https://openalex.org/I2800403580"]},{"raw_affiliation_string":"University of\u00a0Minnesota","institution_ids":["https://openalex.org/I130238516"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5054244870","display_name":"Vladimir D. Tonchev","orcid":"https://orcid.org/0000-0003-1806-3571"},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vladimir D. Tonchev","raw_affiliation_strings":["Michigan Technological University",", Michigan Technological University"],"affiliations":[{"raw_affiliation_string":"Michigan Technological University","institution_ids":["https://openalex.org/I11957088"]},{"raw_affiliation_string":", Michigan Technological University","institution_ids":["https://openalex.org/I11957088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5101996394"],"corresponding_institution_ids":["https://openalex.org/I130238516","https://openalex.org/I2800403580"],"apc_list":null,"apc_paid":null,"fwci":0.2404,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.57735508,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"20","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9961000084877014,"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/T10849","display_name":"Finite Group Theory Research","score":0.9438999891281128,"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":0.8959864974021912},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.8934850692749023},{"id":"https://openalex.org/keywords/abelian-group","display_name":"Abelian group","score":0.7825949788093567},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6846399307250977},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5995927453041077},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.4455236494541168},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.04487264156341553}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8959864974021912},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.8934850692749023},{"id":"https://openalex.org/C136170076","wikidata":"https://www.wikidata.org/wiki/Q181296","display_name":"Abelian group","level":2,"score":0.7825949788093567},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6846399307250977},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5995927453041077},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.4455236494541168},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.04487264156341553},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.37236/2776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p72/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},{"id":"pmh:oai:digitalcommons.mtu.edu:math-fp-1090","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/math-fp/89","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences Publications","raw_type":"text"}],"best_oa_location":{"id":"doi:10.37236/2776","is_oa":true,"landing_page_url":"https://doi.org/10.37236/2776","pdf_url":"https://www.combinatorics.org/ojs/index.php/eljc/article/download/v20i1p72/pdf","source":{"id":"https://openalex.org/S38448739","display_name":"The Electronic Journal of Combinatorics","issn_l":"1077-8926","issn":["1077-8926","1097-1440"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317970","host_organization_name":"Electronic Journal of Combinatorics","host_organization_lineage":["https://openalex.org/P4310317970"],"host_organization_lineage_names":["Electronic Journal of Combinatorics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Electronic Journal of Combinatorics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1608623344.pdf","grobid_xml":"https://content.openalex.org/works/W1608623344.grobid-xml"},"referenced_works_count":4,"referenced_works":["https://openalex.org/W1516318957","https://openalex.org/W2054388459","https://openalex.org/W2085573612","https://openalex.org/W2085688367"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W588267724","https://openalex.org/W4297743441","https://openalex.org/W2952598754","https://openalex.org/W2026779193"],"abstract_inverted_index":{"A":[0],"complete":[1],"enumeration":[2],"of":[3,14,22,30,35,40,45,56,62,66],"relative":[4],"difference":[5],"sets":[6],"(RDS)":[7],"with":[8,17],"parameters":[9],"$(16,4,16,4)$":[10,49,70],"in":[11],"a":[12,18],"group":[13],"order":[15,23,36,46,67],"64":[16,47,68],"normal":[19],"subgroup":[20],"$N$":[21],"4":[24],"is":[25],"given.":[26],"If":[27,51],"$N=Z_4$,":[28],"three":[29],"the":[31,41,57,63],"11":[32],"abelian":[33,58],"groups":[34,44,59,65],"64,":[37],"and":[38,60],"23":[39],"256":[42],"nonabelian":[43],"contain":[48,69],"RDSs.":[50,71],"$N=Z_2":[52],"\\times":[53],"Z_2$,":[54],"nine":[55],"194":[61],"non-abelian":[64]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}
