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* 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> | * 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> | ||
* [[Walsh spectra of quadratic APN functions over GF(2^8)]] | * [[Walsh spectra of quadratic APN functions over GF(2^8)]] | ||
* [[Some APN functions CCZ-equivalent to | * [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]] | ||
* Some APN functions CCZ-equivalent to <math>x^3+tr_{n}(x^9)</math> and CCZ-tnquivalent to the Gold functions over <math>\mathbb{F}_{2^n}</math> | |||
Revision as of 11:37, 3 January 2019
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 GF(2^n) for n = 5,6,7,8
- 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]
- Walsh spectra of quadratic APN functions over GF(2^8)
- Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)
- Some APN functions CCZ-equivalent to [math]\displaystyle{ x^3+tr_{n}(x^9) }[/math] and CCZ-tnquivalent to the Gold functions over [math]\displaystyle{ \mathbb{F}_{2^n} }[/math]