On the Existence of $(10, 2, 7, 488)$ Resilient Functions
On the Existence of $(10, 2, 7, 488)$ Resilient Functions
复制标题
DOI：
10.1109/tit.2008.2008140
复制
发表时间：
2009
影响因子：
2.5
通讯作者：
Wen Ming Liu;A. Youssef
中科院分区：
文献类型：
--
作者：
Wen Ming Liu;A. Youssef
使用启发式搜索与一些代数技巧相结合，10个变量的布尔函数的非线性度488，代数次数7，弹性度2，构造了几个例子。这种构造肯定地回答了关于这种函数存在的公开问题。
Using a heuristic search combined with some algebraic techniques, several examples for 10-variable Boolean functions with nonlinearity 488, algebraic degree 7, and resiliency degree 2 , were constructed. This construction affirmatively answers the open problem about the existence of such functions.