New Infinite Classes of 0-APN Power Functions over š¯”½2n
Huijuan Zhou, Zepeng Zhuo, Guolong Chen Ā· IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences Ā· 2024
Constructing new families of APN functions is an important and challenging topic. Up to now, only six infinite families of APN monomials have been found on finite fields of even characteristic. To study APN functions, partially APN functions have attracted plenty of researchers' particular interests recently. In this paper, we propose several new infinite classes of 0-APN power functions over š¯”½2n by using the multivariate method and resultant elimination. Furthermore, we use Magma soft to show that these 0-APN power functions are CCZ-inequivalent to the known 0-APN power functions.