A note on the differential spectrum of a differentially 4-uniform power function

作者：Xiong, Maosheng; Yan, Haode^*

来源：Finite Fields and Their Applications, 2017, 48: 117-125.

DOI：10.1016/j.ffa.2017.07.008

• Power functions
• Differential uniformity
• Differential spectrum

Let F(x) = x(22k)+2(k)+1 be a power function over the finite field GF(2(n)), where k is a positive integer and n = 4k. It is known by a recent result of Bracken and Leander that F(x) is a highly nonlinear differentially 4-uniform function. Building upon this work, in this paper we determine the differential spectrum of F(x).

• 出版日期2017-11
• 单位西南交通大学; 香港科技大学