Walsh spectra of all known APN functions over GF(2^8)

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The tables below contain the Walsh spectra for all quadratic APN functions of dimension 8 as given in the appendix of "A Matrix Approach for Constructing Quadratic APN Functions". All 8180 functions listed in the appendix have one of the following three Walsh spectra:

  • [math]\displaystyle{ \{ -32^{2380}, -16^{20400}, 0^{16320}, 16^{23120}, 32^{3060} \} }[/math] (same as the Gold functions)
  • [math]\displaystyle{ \{ -64^6, -32^{2240}, -16^{20880}, 0^{15600}, 16^{23664}, 32^{2880}, 64^{10} \} }[/math] (type 1)
  • [math]\displaystyle{ \{ -64^{12}, -32^{2100}, -16^{21360}, 0^{14880}, 16^{24208}, 32^{2700}, 64^{20} \} }[/math] (type 2)
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