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Article overview
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New Instances of Quadratic APN Functions | | Christof Beierle
; Gregor Leander
; | | Date: |
15 Sep 2020 | | Abstract: | By applying a recursive tree search, we find many new instances of quadratic
APN functions up to CCZ-equivalence. In particular, we present 12,923 new
quadratic APN instances in dimension eight and five new quadratic APN instances
in dimension ten. The vast majority of those functions have been found by
utilizing linear self-equivalences.
Among our 8-bit APN functions, there are three extended Walsh spectra that
were not known to be valid extended Walsh spectra of quadratic 8-bit APN
functions before and, surprisingly, there exist at least four CCZ-inequivalent
8-bit APN functions with linearity $2^7$, i.e. the highest possible non-trivial
linearity. | | Source: | arXiv, 2009.07204 | | Services: | Forum | Review | PDF | Favorites | |
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