Known instances of APN functions over GF(2^8)

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The following table lists all currently known APN polynomials over . The majority of these were obtained by the matrix method described in [1] and appear there for the first time. The table is compiled from Appendix 2 in [1]. The symbol "g" in the table is a primitive element of .

Due to the large number of functions, the table is split into several pages:

Source code for Magma which produces a sequence of these functions in the same order as given in the table is available.

  1. 1.0 1.1 Yu Y, Wang M, Li Y. A matrix approach for constructing quadratic APN functions. Designs, codes and cryptography. 2014 Nov 1;73(2):587-600.