Nearly bent functions
Weiguo Zhang, Chao Lv, GuoZhen Xiao · International Journal of Computer Mathematics · 2011
In this paper, we define a large class of almost balanced Boolean functions called nearly bent functions. These functions lie at large Hamming distance to all affine functions and preserve a high level of algebraic degree. Then a construction of nearly bent functions is described. It is shown that the constructed functions have good global avalanche characteristic properties. In the concluding remarks, we show that nearly bent functions have good stability.