Proofs of two conjectures on ternary weakly regular bent functions

Details Proofs of two conjectures on ternary weakly regular bent functions Proofs of two conjectures on ternary weakly regular bent functions

2008-03-19

arxiv.org/abs/0803.2878v1

Mathematics

Combinatorics

20 pages

Scientific paper

We study ternary monomial functions of the form $f(x)=\Tr_n(ax^d)$, where $x\in \Ff_{3^n}$ and $\Tr_n: \Ff_{3^n}\to \Ff_3$ is the absolute trace function. Using a lemma of Hou \cite{hou}, Stickelberger's theorem on Gauss sums, and certain ternary weight inequalities, we show that certain ternary monomial functions arising from \cite{hk1} are weakly regular bent, settling a conjecture of Helleseth and Kholosha \cite{hk1}. We also prove that the Coulter-Matthews bent functions are weakly regular.

Affiliated with

Also associated with

No associations

Rating

Proofs of two conjectures on ternary weakly regular bent functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Proofs of two conjectures on ternary weakly regular bent functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Proofs of two conjectures on ternary weakly regular bent functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-576819