Blar i Institutt for datateknologi, elektroteknologi og realfag på emneord "almost perfect nonlinear (APN)"

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    • On the behavior of some APN permutations under swapping points 

      Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stanica, Pantelimon (Peer reviewed; Journal article, 2021)
      We define the pAPN-spectrum (which is a measure of how close a function is to being APN) of an (n, n)-function F and investigate how its size changes when two of the outputs of a given function F are swapped. We completely ...

    • Partially APN Boolean functions and classes of functions that are not APN infinitely often 

      Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Kwon, Soonhak; Riera, Constanza Susana; Stănică, Pantelimon (Peer reviewed; Journal article, 2019)
      In this paper we define a notion of partial APNness and find various characterizations and constructions of classes of functions satisfying this condition. We connect this notion to the known conjecture that APN functions ...

    • Partially APN functions with APN-like polynomial representations 

      Budaghyan, Lilya; Kaleyski, Nikolay Stoyanov; Riera, Constanza Susana; Stănică, Pantelimon (Peer reviewed; Journal article, 2020)
      In this paper we investigate several families of monomial functions with APN-like exponents that are not APN, but are partially 0-APN for infinitely many extensions of the binary field F2. We also investigate the differential ...