Tables: Difference between revisions
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* [[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 GF(2^n)]] | * [[Some APN functions CCZ-equivalent to Gold functions and EA-inequivalent to power functions over GF(2^n)]] | ||
* [[Some APN functions CCZ-equivalent to ----- and CCZ- | * [[Some APN functions CCZ-equivalent to ----- and CCZ-inequivalent to the Gold functions over GF(2^n)]] | ||
* [[--------------------------------]] | * [[--------------------------------]] | ||
* [[New APN polynomials (up to CCZ-equivalence) over GF(2^11)]] | * [[New APN polynomials (up to CCZ-equivalence) over GF(2^11)]] | ||
* [[CCZ-equivalence of Familes of APN Polynomials over GF(2^n) from table (for n is equal or larger than 6 and equal or smaller than 11)]] | * [[CCZ-equivalence of Familes of APN Polynomials over GF(2^n) from table (for n is equal or larger than 6 and equal or smaller than 11)]] | ||
Revision as of 13:36, 11 January 2019
Known instances of APN 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}}
- Known infinite families of APN power functions over GF(2^n)
- Known infinite 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 GF(2^n)
- Some APN functions CCZ-equivalent to ----- and CCZ-inequivalent to the Gold functions over GF(2^n)
- --------------------------------
- New APN polynomials (up to CCZ-equivalence) over GF(2^11)
- CCZ-equivalence of Familes of APN Polynomials over GF(2^n) from table (for n is equal or larger than 6 and equal or smaller than 11)
