论文标题
关于置换四元和$ 4 $ - 均匀的BCT
On permutation quadrinomials and $4$-uniform BCT
论文作者
论文摘要
我们在尺寸$ 2^{2M} $的字段上研究一类通用四元素,具有奇数$ m $,并且表征了它们是具有最佳Boomerang均匀性的排列,这是与Boomerang-Style攻击有关的新的重要参数。这大大扩展了以前的几篇论文。
We study a class of general quadrinomials over the field of size $2^{2m}$ with odd $m$ and characterize conditions under which they are permutations with the best boomerang uniformity, a new and important parameter related to boomerang-style attacks. This vastly extends previous results from several recent papers.