Cheating immune secret sharing in the unconditionally secure case are investigated in this paper.Constructionsof defining functions of cheating immune secret sharing on V_n are given,where n is any integer greater tha...Cheating immune secret sharing in the unconditionally secure case are investigated in this paper.Constructionsof defining functions of cheating immune secret sharing on V_n are given,where n is any integer greater than 5.Further-more,the obtained defining functions have good cryptographic properties.The nonlinearity of them is 2^(n-1)-2^(n/2+1) whenn≡0(mod 4)and 2^(n-1)-2^((?)n/2」+2) otherwise.And thedegree is「n/4(?).展开更多
文摘Cheating immune secret sharing in the unconditionally secure case are investigated in this paper.Constructionsof defining functions of cheating immune secret sharing on V_n are given,where n is any integer greater than 5.Further-more,the obtained defining functions have good cryptographic properties.The nonlinearity of them is 2^(n-1)-2^(n/2+1) whenn≡0(mod 4)and 2^(n-1)-2^((?)n/2」+2) otherwise.And thedegree is「n/4(?).