New infinite families of APN functions from the switching construction in even dimension

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We present the first new infinite family of APN functions obtained by applying the switching construction to a known family since the introduction of the Budaghyan-Carlet-Leander family in 2009. Our construction is also the first example of an infinite APN family obtained via the switching construction from an infinite family of non-power functions. More generally, we study families of APN functions that can be obtained from the Budaghyan-Helleseth-Kaleyski family by the addition of carefully se