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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 gold functions and EA-inequivalent to power functions over <math>\mathbb{F}_{2^n}</math>]] | * [[Some APN functions CCZ-equivalent to gold functions and EA-inequivalent to power functions over <math>\mathbb{F}_{2^n}</math>]] | ||
Revision as of 19:14, 24 December 2018
Known instances of APN functions over
- 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{F}_{2^n}} for Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 6 \le n \le 11}
- Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials and Hexanomials with coefficients in Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{F}_2} CCZ-inequivalent to the infinite monomial families over Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{F}_{2^n}} for Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 6 \le n \le 11}
- 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 Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle \mathbb{F}_{2^n}} ]]
