| Title | The hyper-bentness of a special class of boolean function |
| Authors | Huang, Yonghong Lou, Yu Zhao, Qinhong Zhao, Changjiang Chang, Junyuan |
| Affiliation | Chongqing University of Posts and Telecommunications, Chongqing 400065, China School of Mathematical Sciences, Peking University, Beijing 100871, China Minhang Road 29, Haidian District, Beijing 100195, China |
| Issue Date | 2014 |
| Publisher | journal of computational information systems |
| Citation | Journal of Computational Information Systems.2014,10,(11),4585-4592. |
| Abstract | This paper considers the hyper-bentness of a class of boolean functions of the form fa,b(r):= Tr1n (axr(2m-1)) +Tr14 (bx2n-1/5), where n = 2 m, m ?? 2 (mod 4), a ?? F2n, b ?? F16 and r ?? 0 (mod 5). With the help of Kloosterman sums and the factorization of x5 + x + a-1, we present a characterization of the hyper- bentness of fa,b(r). ? 2014 Binary Information Press. |
| URI | http://hdl.handle.net/20.500.11897/327456 |
| ISSN | 15539105 |
| DOI | 10.12733/jcis10197 |
| Indexed | EI |
| Appears in Collections: | 数学科学学院 |
