Recently, Tu and Deng obtained two classes of Boolean functions with nice properties based on a combinatorial conjecture about binary strings. In this paper, using different approaches, we prove thisâ€¦ (More)

It is difficult to find Boolean functions achieving many good cryptographic properties. Recently, Tu and Deng obtained two classes of Boolean functions with good properties based on a combinatorialâ€¦ (More)

For each pair of positive integers n and k, let G(n,k) denote the digraph whose set of vertices is H = {0,1,2,Â·Â·Â·, n â€“ 1} and there is a directed edge from a ïƒŽ H to b ïƒŽ H if a ï‚º b(mod n). The digraphâ€¦ (More)