S-boxes play a central role in the design of symmetric cipher schemes.For stream cipher appli-cations,an s-box should satisfy several criteria such as high nonlinearity,balanceness,correlation immunity,and so on.In th...S-boxes play a central role in the design of symmetric cipher schemes.For stream cipher appli-cations,an s-box should satisfy several criteria such as high nonlinearity,balanceness,correlation immunity,and so on.In this paper,by using disjoint linear codes,a class of s-boxes possessing high nonlinearity and 1st-order correlation immunity is given.It is shown that the constructed correlation immune S-boxes can possess currently best known nonlinearity,which is confirmed by the example 1st-order correlation immune(12,3)s-box with nonlinearity 2000.In addition,two other frameworks concerning the criteria of balanced and resiliency are obtained respectively.展开更多
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
基金supported by the National Natural Science Foundation of China(62272360,61972303)Natural Science Basic Research Plan in Shaanxi Province of China(2023-JC-YB-570)the Key Research and Development Program of Shaanxi Province(2021GY-040).
文摘S-boxes play a central role in the design of symmetric cipher schemes.For stream cipher appli-cations,an s-box should satisfy several criteria such as high nonlinearity,balanceness,correlation immunity,and so on.In this paper,by using disjoint linear codes,a class of s-boxes possessing high nonlinearity and 1st-order correlation immunity is given.It is shown that the constructed correlation immune S-boxes can possess currently best known nonlinearity,which is confirmed by the example 1st-order correlation immune(12,3)s-box with nonlinearity 2000.In addition,two other frameworks concerning the criteria of balanced and resiliency are obtained respectively.
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(?).
