Tables

Known instances of APN functions over $\mathbb {F} _{2^{n}}$

• 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 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