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arXiv · 1310.8071

(Not) weakly regular univariate bent functions

Ayça Çeşmelioğlu·Wilfried Meidl
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Abstract

In this article a procedure to construct bent functions from $\F_{p^n}$ to $\F_p$ by merging plateaued functions which are bent on ($n-2$)-dimensional subspaces of $\F_{p^n}$ is presented. Taking advantage of such classes of plateaued functions with a simple representation as monomials and binomials, we obtain infinite classes of bent functions with a fairly simple representation. In particular we present the first direct construction of univariate not weakly regular bent functions, and give one class explicitly in a simple representation with binomials.

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Ayça Çeşmelioğlu, Wilfried Meidl. 2013-10-30. (Not) weakly regular univariate bent functions. https://arxiv.org/abs/1310.8071

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