{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T09:19:03Z","timestamp":1783156743515,"version":"3.54.6"},"reference-count":31,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001459","name":"Government of Singapore Ministry of Education","doi-asserted-by":"publisher","award":["MOE-T2EP20222-0005"],"award-info":[{"award-number":["MOE-T2EP20222-0005"]}],"id":[{"id":"10.13039\/501100001459","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001459","name":"Government of Singapore Ministry of Education","doi-asserted-by":"publisher","award":["RG14\/24"],"award-info":[{"award-number":["RG14\/24"]}],"id":[{"id":"10.13039\/501100001459","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Finite Fields and Their Applications"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.ffa.2026.102870","type":"journal-article","created":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T10:20:03Z","timestamp":1781000403000},"page":"102870","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Neumaier graphs from cyclotomy with small coherent rank"],"prefix":"10.1016","volume":"115","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7342-4790","authenticated-orcid":false,"given":"Gary","family":"Greaves","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0003-9550-3136","authenticated-orcid":false,"given":"Zhao Kuang","family":"Tan","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"key":"10.1016\/j.ffa.2026.102870_br0010","doi-asserted-by":"crossref","DOI":"10.1016\/j.jcta.2022.105684","article-title":"An infinite class of Neumaier graphs and non-existence results","volume":"193","author":"Abiad","year":"2023","journal-title":"J. Comb. Theory, Ser. A"},{"key":"10.1016\/j.ffa.2026.102870_br0020","first-page":"1","article-title":"Neumaier graphs with few eigenvalues","author":"Abiad","year":"2021","journal-title":"Des. Codes Cryptogr."},{"issue":"1","key":"10.1016\/j.ffa.2026.102870_br0030","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1016\/0022-314X(82)90058-0","article-title":"Uniform cyclotomy","volume":"14","author":"Baumert","year":"1982","journal-title":"J. Number Theory"},{"key":"10.1016\/j.ffa.2026.102870_br0040","doi-asserted-by":"crossref","first-page":"2397","DOI":"10.1007\/s00373-021-02364-z","article-title":"On WL-rank and WL-dimension of some Deza circulant graphs","volume":"37","author":"Bildanov","year":"2021","journal-title":"Graphs Comb."},{"issue":"1","key":"10.1016\/j.ffa.2026.102870_br0050","doi-asserted-by":"crossref","first-page":"101","DOI":"10.1016\/0012-365X(84)90157-2","article-title":"Distance regular graphs of diameter 3 and strongly regular graphs","volume":"49","author":"Brouwer","year":"1984","journal-title":"Discrete Math."},{"key":"10.1016\/j.ffa.2026.102870_br0060","series-title":"Distance-Regular Graphs","author":"Brouwer","year":"2012"},{"key":"10.1016\/j.ffa.2026.102870_br0070","series-title":"Coherent Configurations","author":"Chen","year":"2019"},{"key":"10.1016\/j.ffa.2026.102870_br0080","series-title":"Proceedings. International Symposium on Information Theory, 2005. ISIT 2005","first-page":"1962","article-title":"Cyclotomic numbers of order 5 over Fpn","author":"Chung","year":"2005"},{"issue":"2","key":"10.1016\/j.ffa.2026.102870_br0090","doi-asserted-by":"crossref","DOI":"10.1016\/j.disc.2021.112692","article-title":"On WL-rank of Deza Cayley graphs","volume":"345","author":"Churikov","year":"2022","journal-title":"Discrete Math."},{"issue":"2","key":"10.1016\/j.ffa.2026.102870_br0100","doi-asserted-by":"crossref","first-page":"111","DOI":"10.1016\/j.jcta.2009.03.018","article-title":"Some implications on amorphic association schemes","volume":"117","author":"van Dam","year":"2010","journal-title":"J. Comb. Theory, Ser. A"},{"key":"10.1016\/j.ffa.2026.102870_br0110","series-title":"Codes from Difference Sets","author":"Ding","year":"2014"},{"issue":"7","key":"10.1016\/j.ffa.2026.102870_br0120","doi-asserted-by":"crossref","DOI":"10.1016\/j.disc.2023.113384","article-title":"A general construction of strictly Neumaier graphs and a related switching","volume":"346","author":"Evans","year":"2023","journal-title":"Discrete Math."},{"key":"10.1016\/j.ffa.2026.102870_br0130","article-title":"The smallest strictly Neumaier graph and its generalisations","volume":"26","author":"Evans","year":"2019","journal-title":"Electron. J. Comb."},{"issue":"6","key":"10.1016\/j.ffa.2026.102870_br0140","doi-asserted-by":"crossref","first-page":"1520","DOI":"10.1016\/j.ejc.2009.08.005","article-title":"Cyclotomy over products of finite fields and combinatorial applications","volume":"31","author":"Fern\u00e1ndez-Alcober","year":"2010","journal-title":"Eur. J. Comb."},{"key":"10.1016\/j.ffa.2026.102870_br0150","doi-asserted-by":"crossref","first-page":"363","DOI":"10.1016\/j.laa.2015.09.053","article-title":"Quotient-polynomial graphs","volume":"488","author":"Fiol","year":"2016","journal-title":"Linear Algebra Appl."},{"issue":"2","key":"10.1016\/j.ffa.2026.102870_br0160","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/0095-8956(92)90019-T","article-title":"Distance regular covers of the complete graph","volume":"56","author":"Godsil","year":"1992","journal-title":"J. Comb. Theory, Ser. B"},{"key":"10.1016\/j.ffa.2026.102870_br0170","doi-asserted-by":"crossref","first-page":"194","DOI":"10.1016\/j.ejc.2018.04.004","article-title":"Edge-regular graphs with regular cliques","volume":"71","author":"Greaves","year":"2018","journal-title":"Eur. J. Comb."},{"issue":"10","key":"10.1016\/j.ffa.2026.102870_br0180","doi-asserted-by":"crossref","first-page":"2818","DOI":"10.1016\/j.disc.2018.09.032","article-title":"Another construction of edge-regular graphs with regular cliques","volume":"342","author":"Greaves","year":"2019","journal-title":"Discrete Math."},{"key":"10.1016\/j.ffa.2026.102870_br0190","author":"Greaves"},{"key":"10.1016\/j.ffa.2026.102870_br0200","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1016\/S0024-3795(87)90326-0","article-title":"Coherent algebras","volume":"93","author":"Higman","year":"1987","journal-title":"Linear Algebra Appl."},{"key":"10.1016\/j.ffa.2026.102870_br0210","author":"Jazaeri"},{"key":"10.1016\/j.ffa.2026.102870_br0220","author":"Li"},{"key":"10.1016\/j.ffa.2026.102870_br0230","doi-asserted-by":"crossref","first-page":"280","DOI":"10.1016\/j.ffa.2013.10.006","article-title":"Certain strongly regular Cayley graphs on F22(2s+1) from cyclotomy","volume":"25","author":"Momihara","year":"2014","journal-title":"Finite Fields Appl."},{"key":"10.1016\/j.ffa.2026.102870_br0240","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1090\/dimacs\/056\/19","article-title":"The isomorphism problem for circulant graphs via Schur ring theory","volume":"56","author":"Muzychuk","year":"1999","journal-title":"Codes Assoc. Schemes"},{"issue":"3","key":"10.1016\/j.ffa.2026.102870_br0250","doi-asserted-by":"crossref","first-page":"251","DOI":"10.4064\/aa-39-3-251-264","article-title":"Period polynomials and Gauss sums for finite fields","volume":"39","author":"Myerson","year":"1981","journal-title":"Acta Arith."},{"key":"10.1016\/j.ffa.2026.102870_br0260","series-title":"London Mathematical Society Lecture Note Series","first-page":"244","article-title":"Regular cliques in graphs and special 112 designs","author":"Neumaier","year":"1981"},{"key":"10.1016\/j.ffa.2026.102870_br0270","series-title":"Cyclotomy and Difference Sets","author":"Storer","year":"1967"},{"issue":"8","key":"10.1016\/j.ffa.2026.102870_br0280","doi-asserted-by":"crossref","first-page":"236","DOI":"10.1073\/pnas.33.8.236","article-title":"Limits for the number of solutions of certain general types of equations in a finite field","volume":"33","author":"Vandiver","year":"1947","journal-title":"Proc. Natl. Acad. Sci. USA"},{"issue":"9","key":"10.1016\/j.ffa.2026.102870_br0290","first-page":"12","article-title":"The reduction of a graph to canonical form and the algebra which appears therein","volume":"2","author":"Weisfeiler","year":"1968","journal-title":"NTI Ser."},{"issue":"1","key":"10.1016\/j.ffa.2026.102870_br0300","first-page":"107","article-title":"A family of difference sets","volume":"6","author":"Whiteman","year":"1962","journal-title":"Ill. J. Math."},{"key":"10.1016\/j.ffa.2026.102870_br0310","series-title":"Finite Permutation Groups","author":"Wielandt","year":"1964"}],"container-title":["Finite Fields and Their Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S107157972600081X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S107157972600081X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T08:50:10Z","timestamp":1783155010000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S107157972600081X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":31,"alternative-id":["S107157972600081X"],"URL":"https:\/\/doi.org\/10.1016\/j.ffa.2026.102870","relation":{},"ISSN":["1071-5797"],"issn-type":[{"value":"1071-5797","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Neumaier graphs from cyclotomy with small coherent rank","name":"articletitle","label":"Article Title"},{"value":"Finite Fields and Their Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ffa.2026.102870","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"102870"}}