# Difference between revisions of "Tables"

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* [[CCZ-invariants for all known APN functions in dimension 7]] | * [[CCZ-invariants for all known APN functions in dimension 7]] | ||

* [[CCZ-invariants for all known APN functions in dimension 8]] | * [[CCZ-invariants for all known APN functions in dimension 8]] | ||

+ | * [[Lower bounds on APN-distance for all known APN functions]] |

## Revision as of 10:10, 28 June 2019

## Known instances of APN functions over

- 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 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