摘要
Perfect nonlinear (PN) functions have been an interesting subject of study for a long time and have applications in coding theory, cryptography, combinatorial designs, and so on. In this paper, the planarity of the trinomials x(pk+1) + ux(2) + vx(2pk) over GF(p(2k)) are presented. This class of PN functions are all EA-equivalent to x(2).