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。
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.
出处
《通信技术》
2003年第12期125-127,共3页
Communications Technology
基金
国家重点实验室开放课题基金资助(No.5-03)
国防科技重点实验室基金资助(No.51436010201DZ0104)。
关键词
弹性函数
对偶分布
非线性构造
代数次数
resilient function , interwork- distributing, nonlinea r construction ,algebraic degree
