Tables

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

• 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 $\mathbb {F} _{2^{n}}$ for $6\leq n\leq 11$
• Classification of Quadratic APN Trinomials, Quadrinomials, Pentanomials and Hexanomials with coefficients in $\mathbb {F} _{2}$ CCZ-inequivalent to the infinite monomial families over $\mathbb {F} _{2^{n}}$ for $6\leq n\leq 11$
• 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-tnquivalent to the Gold functions over $\mathbb {F} _{2^{n}}$