Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | 구남훈 | * |
dc.date.accessioned | 2021-12-01T16:30:54Z | - |
dc.date.available | 2021-12-01T16:30:54Z | - |
dc.date.issued | 2022 | * |
dc.identifier.issn | 1071-5797 | * |
dc.identifier.other | OAK-30572 | * |
dc.identifier.uri | https://dspace.ewha.ac.kr/handle/2015.oak/259592 | - |
dc.description.abstract | Differentially 4-uniform involutions on F22k play important roles in the design of substitution boxes (S-boxes). Despite the active researches on differentially 4-uniform permutation, there is not so much research on differentially 4-uniform involutions, especially over the field F2n with 4|n. In this paper, we introduce a new approach to construct differentially 4-uniform involutions by using Carlitz form. With this approach, we explicitly construct two new classes of differentially 4-uniform involutions over F2n with 4|n. We also show that our constructions have high nonlinearity and optimal algebraic degree. With the help of computer, we show that our constructions are CCZ-inequivalent to the known differentially 4-uniform involutions over F28. © 2021 Elsevier Inc. | * |
dc.language | English | * |
dc.publisher | Academic Press Inc. | * |
dc.subject | Algebraic degree | * |
dc.subject | Carlitz rank | * |
dc.subject | Differential uniformity | * |
dc.subject | Differentially 4-uniform permutation | * |
dc.subject | Involution | * |
dc.subject | Nonlinearity | * |
dc.subject | Substitution box (S-box) | * |
dc.title | Constructing differentially 4-uniform involutions over F22k by using Carlitz form | * |
dc.type | Article | * |
dc.relation.volume | 78 | * |
dc.relation.index | SCIE | * |
dc.relation.index | SCOPUS | * |
dc.relation.journaltitle | Finite Fields and their Applications | * |
dc.identifier.doi | 10.1016/j.ffa.2021.101957 | * |
dc.identifier.wosid | WOS:000720914000001 | * |
dc.identifier.scopusid | 2-s2.0-85119297584 | * |
dc.author.google | Jeong J. | * |
dc.author.google | Koo N. | * |
dc.author.google | Kwon S. | * |
dc.contributor.scopusid | 구남훈(55697987400) | * |
dc.date.modifydate | 20240311135437 | * |