On a conjecture for balanced symmetric Boolean functions
Cusick Thomas W., Yuan Li, Pantelimon Stănică · Journal of Mathematical Cryptology · 2009
Abstract We give some results towards the conjecture that are the only nonlinear balanced elementary symmetric polynomials over GF(2), where t and are any positive integers and X ( d, n ) = Σ 1≤ i 1 < i 2 <⋯< i d ≤ n x i 1 x i 2 ⋯ x i d .