Construction of Odd-Variable Resilient Boolean Functions with Optimal Degree
Shaojing Fu, Chao Li, Kanta Matsuura, Longjiang Qu · IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences · 2011
Constructing degree-optimized resilient Boolean functions with high nonlinearity is a significant study area in Boolean functions. In this letter, we provide a construction of degree-optimized n-variable (n odd and n ≥ 35) resilient Boolean functions, and it is shown that the resultant functions achieve the currently best known nonlinearity.