On the Dual of Certain Ternary Weakly Regular Bent Functions
On the Dual of Certain Ternary Weakly Regular Bent Functions
复制标题
DOI：
10.1109/tit.2011.2176312
复制
发表时间：
2012-04
影响因子：
2.5
通讯作者：
G. Gong;T. Helleseth;Honggang Hu;A. Kholosha
中科院分区：
文献类型：
--
作者：
G. Gong;T. Helleseth;Honggang Hu;A. Kholosha
In 2006, Helleseth and Kholosha conjectured and partially proved the existence of a class of ternary weakly regular monomial bent functions and also the expression for the dual bent function up to the sign value. The bentness was finally proved later in 2009 using a complicated technique that employs Stickelberger's theorem. Extensively using the previously found results and approaches, in this paper, a surprisingly short proof for the conjectured expression of the dual is given but without resolving the sign ambiguity. Furthermore, we resolve the sign by finding the trace representation of the dual function.
