… S-box construction method on a subgroup of the Galois field is presented. It is 4 × 4 S-box
of … to the proposed S-box and it is concluded that the S-box possesses desirable properties …

… a large number of S-boxes. We used Galois field arithmetic in the proposed method and
a Galois field extension ( ) of binary field with 256 elements is used for the construction of …

… on the theory of substitution boxes. The method is based on the theory of substitution boxes.
… and security, the affine conversion period in the Galois field (2^8) has been increased to the …

… the Galois rings. In [6], the authors presented a novel construction scheme of S-boxes based
… In the continuation of this Letter, we will shift the structure to the subgroup of Galois field. We …

… to the Galois field \(GF\left( {2^{8} } \right)\) to obtain new S-boxes. The proposed S-boxes are
… Finally, we apply an affine transformation to the Galois field elements using this adjacency …

… The substitution boxes are the major part of ancient as well as modern … Galois field GF(p
q ) and Substitution Boxes have been reviewed in Sect. 2. The generation of 4 and 8-bit S-Boxes …

… diffusion, is substitution box (S-Box). Therefore, carefully selection of S-Box is an
important … for the construction of \(8\times 8\) S-Box based on all subfields of Galois Field \(GF\left({2}^{…

… In this paper, we construct a new substitution box (S-box) structure based on the elements …
in a finite Galois ring instead of Galois field. We analyze the potency of the proposed S-box by …

… matrix on Galois field GF(2 8 ) elements using a set of different transformations to obtain
bijective S-boxes. We inspect the cryptographic strength of the proposed S-boxes based on the …

… applied on Galois field GF(2 8 ) to construct substitution boxes. In this paper, instead of
Galois field GF(2 8 ), we use a cyclic group C 255 in the formation of proposed substitution box. …