An effective evolutionary strategy for bijective S-boxes

Being as unique nonlinear components of block ciphers, S-boxes control the security of the cryptographic algorithms. The design of S-boxes with genetic algorithms is a recent research focus. For the popular bijective S-boxes, an effective evolutionary strategy is given in this paper, including fitness function, breeding strategy and hill climbing algorithm. Under this strategy, an effective genetic algorithm for 8 × 8 bijective S-boxes is provided and a large number of S-boxes with high nonlinearity and low difference uniformity can be obtained.