A new construction of confusion component of block ciphers

Confusion is one of the most important component of modern block ciphers. The security of modern encryption scheme is based on substitution and permutation network (SP-network). The idea of SP-network was proposed by Claude Shannon in 1949. Construction of optimal confusion component (substitution box) has been a prominent topic of interest. In this article, we have proposed a new technique for the construction of S-boxes which fulfill the required cryptographic properties. Our proposed scheme utilized double affine transformation which gives nonlinearity of 112 for each primitive irreducible polynomials of degree 8. The simulation results of our proposed nonlinear component are compared with some recently suggested substitution boxes (S-boxes) which demonstrate that the proposed scheme is more capable to construct strong nonlinear component of block encryption systems.