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arXiv · 1011.6242

A Construction of Weakly and Non-Weakly Regular Bent Functions

Ayca Cesmelioglu·Gary McGuire·Wilfried Meidl
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Abstract

In this article a technique for constructing $p$-ary bent functions from near-bent functions is presented. Two classes of quadratic $p$-ary functions are shown to be near-bent. Applying the construction of bent functions to these classes of near-bent functions yields classes of non-quadratic bent functions. We show that one construction in even dimension yields weakly regular bent functions. For other constructions, we obtain both weakly regular and non-weakly regular bent functions. In particular we present the first known infinite class of non-weakly regular bent functions.

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Ayca Cesmelioglu, Gary McGuire, Wilfried Meidl. 2010-11-29. A Construction of Weakly and Non-Weakly Regular Bent Functions. https://arxiv.org/abs/1011.6242

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