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

Revision as of 23:49, 25 November 2018

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 [math]\displaystyle{ \mathbb{F}_{2^n} }[/math]
  • 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]