Nonlinear transformations based on complete classes of isomorphic and automorphic representations of field GF(256)
Михаил Иванович Мазурков, Артем Викторович Соколов · Radioelectronics and Communications Systems · 2013
A complete class of maximum-period linear recurrent sequences (MLRS) of volume ψ = 55,296 based on all automorphic and isomorphic representations of the main GF (256) field has been built. Constructions of S -boxes based on MLRS and having length N = 256 with cryptographic properties as good as the Nyberg construction of Rijndael cipher have been proposed. The total number of substitution S -boxes synthesized by the constructive method amounts to | S | = 7.4518×10 16 that makes it possible to use them as a long-term key.