Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2019-01-24T16:30:13Z | - |
dc.date.available | 2019-01-24T16:30:13Z | - |
dc.date.issued | 2019 | * |
dc.identifier.issn | 0018-9448 | * |
dc.identifier.other | OAK-24133 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/248250 | - |
dc.description.abstract | A p-ary function f in n variables is an l-form if f (tu) = t l f (u) for any nonzero t in Zp and u in Zn p. Let n be a positive even integer, p an odd prime, and l an element of {1, 2, . . . , p-1} provided that l ≠= p-1 if p > 3. Let f be a p-ary bent function in n variables of l -form with f (0) = 0 and gcd(l- 1, p- 1) = 1, and let Hl = {t l : T ϵ Z p}. We denote by G f,l the Cayley graph Cay(Zn p, ∪ϵs-Hl f-1(s)). Our main results are as follows: 1) if there is weakly regular p-ary bent f which is not regular, then l is 2; 2) if l = 2, then f is weakly regular p-ary bent if and only if the Cayley graph G f,l is strongly regular; 3) if l ≠= 2, then f is regular p-ary bent if and only if the Cayley graph G f,l is strongly regular; 4) G f,l can be replaced by Cay(Zn p, f-1(0)\{0}) in 2) and 3); and 5) amorphic association schemes are derived by using 2) and 3). We prove our main results by computing at most four distinct restricted eigenvalues of G f,l . © 1963-2012 IEEE. | * |
dc.language | English | * |
dc.publisher | Institute of Electrical and Electronics Engineers Inc. | * |
dc.subject | (amorphic) association scheme | * |
dc.subject | p-ary bent function | * |
dc.subject | strongly regular graph | * |
dc.title | Characterization of p-ary bent functions in terms of strongly regular graphs | * |
dc.type | Article | * |
dc.relation.issue | 1 | * |
dc.relation.volume | 65 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.startpage | 676 | * |
dc.relation.lastpage | 684 | * |
dc.relation.journaltitle | IEEE Transactions on Information Theory | * |
dc.identifier.doi | 10.1109/TIT.2018.2843818 | * |
dc.identifier.wosid | WOS:000454110800044 | * |
dc.identifier.scopusid | 2-s2.0-85048025215 | * |
dc.author.google | Hyun J.Y. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |