More infinite classes of APN-like Power Functions

  title={More infinite classes of APN-like Power Functions},
  author={Longjiang Qu and Kangquan Li},
In the literature, there are many APN-like functions that generalize the APN properties or are similar to APN functions, e.g. locally-APN functions, 0-APN functions or those with boomerang uniformity 2. In this paper, we study the problem of constructing infinite classes of APN-like but not APN power functions. For one thing, we find two infinite classes of locally-APN but not APN power functions over F 2 2 m with m even, i.e., F 1 ( x ) = x j (2 m − 1) with gcd( j, 2 m + 1) = 1 and F 2 ( x ) = x… 

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