1-Resilient Boolean Function with Optimal Algebraic Immunity.
Qingfang Jin, Zhuojun Liu, Baofeng Wu · 2011
Abstract In this paper, We propose a class of 2k-variable Boolean functions, which have optimal algebraic degree, high nonlinearity, and are 1-resilient. These functions have optimal algebraic immunity when k> 2 and u = −2 l, 0 ≤ l 2 and u = 2 l, 0 ≤ l 2, u = ±2 l, 0 ≤ l < k.