{"id":"https://openalex.org/W2148946398","doi":"https://doi.org/10.1142/s1793830912500073","title":"A SIMPLE WAY TO ESTABLISH NON-EXISTENCE OF DIFFERENCE SETS","display_name":"A SIMPLE WAY TO ESTABLISH NON-EXISTENCE OF DIFFERENCE SETS","publication_year":2012,"publication_date":"2012-03-01","ids":{"openalex":"https://openalex.org/W2148946398","doi":"https://doi.org/10.1142/s1793830912500073","mag":"2148946398"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830912500073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500073","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5071139180","display_name":"ADEGOKE S. OSIFODUNRIN","orcid":null},"institutions":[{"id":"https://openalex.org/I137884079","display_name":"Livingstone College","ror":"https://ror.org/03t56ts61","country_code":"US","type":"education","lineage":["https://openalex.org/I137884079"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"ADEGOKE S. OSIFODUNRIN","raw_affiliation_strings":["Department of Mathematics, Division of Mathematics and Sciences, Livingstone College, Salisbury, North Carolina, 28144, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Division of Mathematics and Sciences, Livingstone College, Salisbury, North Carolina, 28144, USA","institution_ids":["https://openalex.org/I137884079"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5071139180"],"corresponding_institution_ids":["https://openalex.org/I137884079"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16140645,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"04","issue":"01","first_page":"1250007","last_page":"1250007"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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":0.9997000098228455,"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/T12504","display_name":"Mathematics and Applications","score":0.9562000036239624,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11130","display_name":"Coding theory and cryptography","score":0.9455000162124634,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.8589895963668823},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4916079640388489},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3935787081718445},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3677772879600525},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.16763484477996826},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.14811649918556213},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.12010210752487183}],"concepts":[{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.8589895963668823},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4916079640388489},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3935787081718445},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3677772879600525},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.16763484477996826},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.14811649918556213},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.12010210752487183},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830912500073","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830912500073","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.6000000238418579,"id":"https://metadata.un.org/sdg/10","display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W171726754","https://openalex.org/W564046778","https://openalex.org/W1520303766","https://openalex.org/W1526819168","https://openalex.org/W1969193924","https://openalex.org/W1989704610","https://openalex.org/W2001106922","https://openalex.org/W2029700997","https://openalex.org/W2313497592","https://openalex.org/W2486219071","https://openalex.org/W2918305066","https://openalex.org/W2983337356","https://openalex.org/W4205241318","https://openalex.org/W4247336551"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644"],"abstract_inverted_index":{"We":[0],"illustrate":[1],"that":[2],"the":[3,6,12],"combination":[4],"of":[5,20],"variance":[7],"technique":[8],"and":[9],"factorization":[10],"in":[11],"cyclotomic":[13],"rings":[14],"is":[15],"sufficient":[16],"to":[17],"establish":[18],"non-existence":[19],"difference":[21],"sets.":[22]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}