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When does a bent concatenation not belong to the completed Maiorana-McFarland class?
April 26, 2024, 4:11 a.m. | Sadmir Kudin, Enes Pasalic, Alexandr Polujan, Fengrong Zhang
cs.CR updates on arXiv.org arxiv.org
Abstract: Every Boolean bent function $f$ can be written either as a concatenation $f=f_1||f_2$ of two complementary semi-bent functions $f_1,f_2$; or as a concatenation $f=f_1||f_2||f_3||f_4$ of four Boolean functions $f_1,f_2,f_3,f_4$, all of which are simultaneously bent, semi-bent, or 5-valued spectra-functions. In this context, it is essential to ask: When does a bent concatenation $f$ (not) belong to the completed Maiorana-McFarland class $\mathcal{M}^\#$? In this article, we answer this question completely by providing a full characterization of …
arxiv bent can class context cs.cr cs.dm cs.it function functions math.co math.it semi written
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