Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 이윤진 | * |
dc.date.accessioned | 2022-03-03T16:31:03Z | - |
dc.date.available | 2022-03-03T16:31:03Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 0097-3165 | * |
dc.identifier.other | OAK-30771 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/260807 | - |
dc.description.abstract | We obtain an explicit criterion for p-ary functions to produce association schemes in terms of their Walsh spectrum. Employing this characterization, we explicitly find a correlation between p-ary bent functions and association schemes; to be more exact, we prove that a p-ary bent function induces a p-class association scheme if and only if the function is weakly regular. As applications of our main criterion, we construct many infinite families of few-class association schemes arising from p-ary functions. Furthermore, we present four classes of p-ary two-weight linear codes, which are constructed from the association schemes produced in this paper. © 2021 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Association scheme | * |
dc.subject | Few-weight linear code | * |
dc.subject | p-ary function | * |
dc.subject | Walsh transform | * |
dc.title | Characterization of p-ary functions in terms of association schemes and its applications | * |
dc.type | Article | * |
dc.relation.volume | 187 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Journal of Combinatorial Theory. Series A | * |
dc.identifier.doi | 10.1016/j.jcta.2021.105576 | * |
dc.identifier.wosid | WOS:000787568000008 | * |
dc.identifier.scopusid | 2-s2.0-85121843950 | * |
dc.author.google | Wu Y. | * |
dc.author.google | Hyun J.Y. | * |
dc.author.google | Lee Y. | * |
dc.contributor.scopusid | 이윤진(23100337700) | * |
dc.date.modifydate | 20240123113558 | * |