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arXiv · 1406.1036

Some Results on Bent-Negabent Boolean Functions over Finite Fields

Sumanta Sarkar
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Abstract

We consider negabent Boolean functions that have Trace representation. We completely characterize quadratic negabent monomial functions. We show the relation between negabent functions and bent functions via a quadratic function. Using this characterization, we give infinite classes of bent-negabent Boolean functions over the finite field $\F_{2^n}$, with the maximum possible degree, $n \over 2$. These are the first ever constructions of negabent functions with trace representation that have optimal degree.

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Sumanta Sarkar. 2014-06-04. Some Results on Bent-Negabent Boolean Functions over Finite Fields. https://arxiv.org/abs/1406.1036

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