【摘要】 满足K次扩散准则的p值逻辑函数在密码设计中有重要应用。该文采用Znp上的置换定出了一类满足2n次扩散准则的p值逻辑函数,即Bent函数;定出了级联函数满足K次扩散准则的充要条件和n元2次p值逻辑函数满足m阶K次扩散准则的充要条件。更多还原

【Abstract】 The P-valued logic functions satisfying K order propagation criterion have been used widely in the design of block cipher.In the paper,by using the permutation over the field of Z n p ,it determines a class of P-valued logic function meeting propagation criterion of2n order,namely bent function.It also presents the sufficient and necessary conditions that the Joint function satisfying criterion PC(K)and quadric P-valued logic functions with n variables meeting degree K and order m.更多还原