Browsing Bergen Open Research Archive by Author "Nesheim, Kjetil Amundsen"
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Computational investigation of 0-APN monomials
Nesheim, Kjetil Amundsen (Master thesis, 2022-05-18)This thesis is dedicated to exploring methods for deciding whether a power function $F(x) = x^d$ is 0-APN. Any APN function is 0-APN, and so 0-APN-ness is a necessary condition for APN-ness. APN functions are cryptographically ... -
An infinite family of 0-APN monomials with two parameters
Kaleyski, Nikolay Stoyanov; Nesheim, Kjetil Amundsen; Stănică, Pantelimon (Journal article; Peer reviewed, 2023)We consider an infinite family of exponents e(l, k) with two parameters, l and k, and derive sufficient conditions for e(l, k) to be 0-APN over F2n . These conditions allow us to generate, for each choice of l and k, an ...