【摘要】 基于GF(2)n上(n,m,2t-1)均衡弹性函数,运用其对偶分布性质和各分量函数弹性阶的相关特性,得到了(n+1,m,2t)均衡弹性函数的非线性构造方法。这些方法使得自变量的维数与弹性阶同步增长,且函数的代数次数也相应增加,从而避免了线性构造的缺陷。更多还原

【Abstract】 In this paper ,we propose some nonlinear methods to co ns truct (n+ 1 ,m ,2t) balance resilient function based on (n ,m ,2t- 1) balanc e resilient function over the field GF(2)n, which combine the interwork- distr ibuting properties and the resilient rank of component functions . By these meth ods, both the independent variables dimension and resilient rank of functions ar e increasing,and algebraic degree is also enhance . As a result, these methods a void the defect from linear construction.更多还原