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Known instances of APN functions over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math]

  • Known infinite families of APN power functions over GF(2^n)
  • Known inifinte families of quadratic APN polynomials over GF(2^n)
  • Known switching classes of APN functions over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math] for [math]\displaystyle{ n = 5,6,7,8 }[/math]
  • CCZ-inequivalent APN functions from the known APN classes over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math] for [math]\displaystyle{ 6 \le n \le 11 }[/math]
  • Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials and Hexanomials with coefficients in [math]\displaystyle{ \mathbb{F}_2 }[/math] CCZ-inequivalent to the infinite monomial families over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math] for [math]\displaystyle{ 6 \le n \le 11 }[/math]