AES S-box construction using different irreducible polynomial and constant 8-bit vector

Abstract

S-box plays a major role in the AES algorithm. The strength of S-box depends on the design and algebraic constructions. In this paper, the construction of S-box will be built using a basic polynomial equation and the addition of a constant 8-bit vector different from the standard AES. The quality of the created S-box is evaluated by measuring several standard criteria such as nonlinearity, strict avalanche criterion (SAC), and bit independence criterion-nonlinearity (BIC-Nonlinearity). The evaluation shows that the values of nonlinearity, SAC, and BIC-Nonlinearity are 112, 0.4995, and 112 respectively. This research also found that the proposed S-box construction method outperforms other existing S-boxes construction methods.