摘要
给出了一种直接构造弹性函数的方法, 得到了次数大于m的n个输入m个输出弹性度为t的函数,并且在相同次数下得到了目前非线性度最高的函数,而且满足扩散准则同时给出了它的计数。用这种方法构造的弹性函数易于计算机实现。
A method for constructing high degree resilient function was presented. we obtained n-variable, m-output,t-resilient functions with degree d>m. Furthermore, their nonlinearities are currently the best results for most of cases with the same degree. Propagation characteristics, which is a crucial criterion for cryptographically strong functions, of obtained functions were discussed. The calculation was given at the same time.
出处
《通信学报》
EI
CSCD
北大核心
2005年第2期19-24,共6页
Journal on Communications
基金
基金项目:国家自然科学基金资助项目( 60373059)
中科院信息安全国家重点实验室开放基金资助项目
关键词
相关免疫
弹性函数
线性码
扩散准则
correlation immunity
resilient function
linear codes
propagation criterion