A novel method of S-box design based on chaotic map and composition method

•Novel chaotic S-box generation method is presented.•Presented S-box has better cryptographic properties than other examples of chaotic S-boxes.•The advantages of the proposed method are the low complexity and large key space.

An efficient algorithm for obtaining random bijective S-boxes based on chaotic maps and composition method is presented. The proposed method is based on compositions of S-boxes from a fixed starting set. The sequence of the indices of starting S-boxes used is obtained by using chaotic maps. The results of performance test show that the S-box presented in this paper has good cryptographic properties. The advantages of the proposed method are the low complexity and the possibility to achieve large key space.