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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 | * [[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]