Another Class of Perfect Nonlinear Polynomial Functions

作者:Su, Menglong*; Zha, Zhengbang; Xu, Zhonghai
来源:Mathematical Problems in Engineering, 2013, 2013: 917507.
DOI:10.1155/2013/917507

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).

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