{"id":"https://openalex.org/W1965122162","doi":"https://doi.org/10.1007/s00493-014-2895-8","title":"Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes","display_name":"Constructions of strongly regular Cayley graphs and skew Hadamard difference sets from cyclotomic classes","publication_year":2014,"publication_date":"2014-09-10","ids":{"openalex":"https://openalex.org/W1965122162","doi":"https://doi.org/10.1007/s00493-014-2895-8","mag":"1965122162"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-014-2895-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2895-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5049623145","display_name":"Tao Feng","orcid":"https://orcid.org/0000-0002-3276-6129"},"institutions":[{"id":"https://openalex.org/I76130692","display_name":"Zhejiang University","ror":"https://ror.org/00a2xv884","country_code":"CN","type":"education","lineage":["https://openalex.org/I76130692"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tao Feng","raw_affiliation_strings":["Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310027, China","Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China 310027"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, 310027, China","institution_ids":["https://openalex.org/I76130692"]},{"raw_affiliation_string":"Department of Mathematics, Zhejiang University, Hangzhou, Zhejiang, China 310027","institution_ids":["https://openalex.org/I76130692"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5055835953","display_name":"Koji Momihara","orcid":null},"institutions":[{"id":"https://openalex.org/I96036126","display_name":"Kumamoto University","ror":"https://ror.org/02cgss904","country_code":"JP","type":"education","lineage":["https://openalex.org/I96036126"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Koji Momihara","raw_affiliation_strings":["Faculty of Education, Kumamoto University, 2-40-1 Kurokami, Kumamoto, 860-8555, Japan","Faculty of Education, Kumamoto University, Kumamoto, Japan 860-8555#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Education, Kumamoto University, 2-40-1 Kurokami, Kumamoto, 860-8555, Japan","institution_ids":["https://openalex.org/I96036126"]},{"raw_affiliation_string":"Faculty of Education, Kumamoto University, Kumamoto, Japan 860-8555#TAB#","institution_ids":["https://openalex.org/I96036126"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071815430","display_name":"Qing Xiang","orcid":"https://orcid.org/0000-0002-4928-9453"},"institutions":[{"id":"https://openalex.org/I86501945","display_name":"University of Delaware","ror":"https://ror.org/01sbq1a82","country_code":"US","type":"education","lineage":["https://openalex.org/I86501945"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Qing Xiang","raw_affiliation_strings":["Department of Mathematical Science, University of Delaware, Newark, DE, 19716, USA","Department of Mathematical Science, University of Delaware, Newark, USA 19716#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Science, University of Delaware, Newark, DE, 19716, USA","institution_ids":["https://openalex.org/I86501945"]},{"raw_affiliation_string":"Department of Mathematical Science, University of Delaware, Newark, USA 19716#TAB#","institution_ids":["https://openalex.org/I86501945"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.2687,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.84187874,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"35","issue":"4","first_page":"413","last_page":"434"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9998000264167786,"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/T10849","display_name":"Finite Group Theory Research","score":0.9983000159263611,"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":0.9111652374267578},{"id":"https://openalex.org/keywords/cayley-graph","display_name":"Cayley graph","score":0.7999985218048096},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.7873111367225647},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.7576072216033936},{"id":"https://openalex.org/keywords/gauss-sum","display_name":"Gauss sum","score":0.58842933177948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5512272119522095},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.48522400856018066},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4590297043323517},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.16969886422157288},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05437341332435608}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9111652374267578},{"id":"https://openalex.org/C120204988","wikidata":"https://www.wikidata.org/wiki/Q859174","display_name":"Cayley graph","level":3,"score":0.7999985218048096},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.7873111367225647},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.7576072216033936},{"id":"https://openalex.org/C186348414","wikidata":"https://www.wikidata.org/wiki/Q526221","display_name":"Gauss sum","level":2,"score":0.58842933177948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5512272119522095},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.48522400856018066},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4590297043323517},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.16969886422157288},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05437341332435608},{"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/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00493-014-2895-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-014-2895-8","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.308.6642","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.308.6642","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://titan.math.udel.edu/~xiang/FMX_1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W28083287","https://openalex.org/W247697463","https://openalex.org/W1512374421","https://openalex.org/W1527611503","https://openalex.org/W1604828720","https://openalex.org/W1966750408","https://openalex.org/W1967132546","https://openalex.org/W1973483608","https://openalex.org/W1998084064","https://openalex.org/W2008684373","https://openalex.org/W2029700997","https://openalex.org/W2045811369","https://openalex.org/W2057274275","https://openalex.org/W2065929743","https://openalex.org/W2073284705","https://openalex.org/W2088866385","https://openalex.org/W2099197486","https://openalex.org/W2101406680","https://openalex.org/W2142699153","https://openalex.org/W2150052232","https://openalex.org/W2153988305","https://openalex.org/W2159074829","https://openalex.org/W2167673439","https://openalex.org/W2611298788","https://openalex.org/W2613956024","https://openalex.org/W3004074467","https://openalex.org/W3101684331","https://openalex.org/W4205498948","https://openalex.org/W4238591275","https://openalex.org/W4247336551","https://openalex.org/W4254866411"],"related_works":["https://openalex.org/W2997852152","https://openalex.org/W2103188662","https://openalex.org/W3080101252","https://openalex.org/W4237990440","https://openalex.org/W2016474650","https://openalex.org/W2165919980","https://openalex.org/W1885672986","https://openalex.org/W2114084582","https://openalex.org/W2152116817","https://openalex.org/W2921820279"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":4},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}