# Difference between revisions of "Tables"

Line 1: | Line 1: | ||

== 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 GF(2^n)]] | * [[Known infinite families of APN power functions over GF(2^n)]] | ||

− | * [[Known APN power functions over GF(2^n) with n less than or equal to 13]] | + | * [[:File:1-7c.pdf|Known APN power functions over GF(2^n) with n less than or equal to 13]] |

− | * [[Differential uniformity of all power functions over GF(2^n) with n less than or equal to 13]] | + | * [[:File:a.pdf|Differential uniformity of all power functions over GF(2^n) with n less than or equal to 13]] |

− | * [[Inverses of APN power permutations over GF(2^n) with n less than or equal to 129]] | + | * [[:File:inv.pdf|Inverses of APN power permutations over GF(2^n) with n less than or equal to 129]] |

* [[Known infinite families of quadratic APN polynomials 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]] | * [[Known switching classes of APN functions over GF(2^n) for n = 5,6,7,8]] |

## Revision as of 11:35, 15 July 2019

## Known instances of APN functions over

- Known infinite families of APN power functions over GF(2^n)
- Known APN power functions over GF(2^n) with n less than or equal to 13
- Differential uniformity of all power functions over GF(2^n) with n less than or equal to 13
- Inverses of APN power permutations over GF(2^n) with n less than or equal to 129
- 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 GF(2^n) (for n is equal or larger than 6 and equal or smaller than 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 x^3 + tr_n(x^9) and CCZ-inequivalent to the Gold functions over GF(2^n)
- CCZ-equivalence of Families of APN Polynomials over GF(2^n) from the table (for n is equal or larger than 6 and equal or smaller than 11)
- Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials, Hexanomials (CCZ-inequivalent with infinite monomial families) in Small Dimensions with all Coefficients equal to 1
- Differentially 4-uniform permutations
- CCZ-invariants for all known APN functions in dimension 7
- CCZ-invariants for all known APN functions in dimension 8
- Lower bounds on APN-distance for all known APN functions