Construction of new S-box using a linear fractional transformation

In this letter, we assemble a new substitution box (S-box) using fractional linear transformation of a particular type and analyze proposed box for different analysis such as Strict Avalanche Criterion (SAC), Bit Independent Criterion (BIC), differential approximation probability (DP), linear approximation probability (LP) and nonlinearity. Further, we evaluate the results of these analyses with AES, APA, Gray, Xyi, Skipjack, S ₈ AES and Prime S-box to know the rank of our proposed box comparative to other boxes.