Walsh spectra of all known APN functions over GF(2^8)

From Boolean Functions
Jump to: navigation, search

The tables below contain the Walsh spectra for all known instances of APN functions over GF(2^8). All of these 8180 functions have one of the following three Walsh spectra:

  • (same as the Gold functions)
  • (type 1)
  • (type 2)

There are 12 functions with a Walsh spectrum of type 2 (given in the table below), 487 functions with a Walsh spectrum of type 1, and 7681 functions with a Gold-like Walsh spectrum (not listed below due to space limitations). Magma code listing all functions with a Gold-like Walsh spectrum, a Walsh spectrum of type 1 and a Walsh spectrum of type 2 is available.


Functions with Walsh spectrum of type 2