Constructing vectorial Boolean functions with high algebraic immunity based on group decomposition
Yu Lou, Huiting Han, Chunming Tang, Zhangqing Wu, Maozhi Xu · International Journal of Computer Mathematics · 2014
In this paper, we propose a new method to construct cryptographically significant (vectorial) Boolean functions over by using the decomposition of the multiplicative group of , and give a generalized description for constructing a class of vectorial Boolean functions with high algebraic immunity. Moreover, for even n, we introduce two special classes of vectorial Boolean functions with high algebraic immunity: one is hyper-bent and the other is balanced with optimal algebraic degree.