In this paper is proposed a new algorithm to construct S-Boxes over GF(28) with Branch Number value at
least 3. This is an important property that guarantees a high diusion in the S-Box [12]. Also are introduced
some defnition and properties that show the be- havior of S-Boxes under the composition with affine
functions. Finally is presented a comparision between this algorithm and the method pro-posed by Tavares
[12]