Cheating immune secret sharing in the unconditionally secure case are investigated in this paper. Constructions of defining functions of cheating immune secret sharing on Vn are given, where n is any integer greater than 5. Furthermore, the obtained defining functions have good cryptographic properties. The nonlinearity of them is 2n-1 - 2n/2+ 1 when n≡0(mod 4) and 2n-1 -2[n/2]+2 otherwise. And the degree is [n/4].