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

From Boolean
Revision as of 10:15, 15 July 2019 by Nikolay (talk | contribs) (Created page with "The following table lists all currently known APN polynomials over <math>\mathbb{F}_{2^8}</math>. The majority of these were obtained by the matrix method described in <ref na...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search
The printable version is no longer supported and may have rendering errors. Please update your browser bookmarks and please use the default browser print function instead.

The following table lists all currently known APN polynomials over [math]\displaystyle{ \mathbb{F}_{2^8} }[/math]. 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 [math]\displaystyle{ \mathbb{F}_{2^7} }[/math].

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.