The Boomerang Uniformity of Power Permutations x2 k −1 over F2 n
Zhengbang Zha, Lei Hu · 2019
The boomerang uniformity is a safety index of S-boxes, which measures the resistance of block ciphers to the boomerang attack. In this paper, we investigate the boomerang uniformity of power permutations of the form x2k-1over F2n. As a result, the relationship between the differential uniformity and the boomerang uniformity of x2k-1is given. Especially, for even n, the boomerang uniformity of power permutation x7is completely determined.