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具有偶数个变元的高非线性度平衡布尔函数的构造
Construction of Balanced Boolean Functions with High Nonlinearity on Even Number Variables
【摘要】 通过修改Maiorana-McFarland型bent函数,构造出具有偶数个变元的高非线性度平衡布尔函数.并对具有偶数个变元的平衡布尔函数的非线性度上界提出一个猜想.
【Abstract】 A technique for constructing highly nonlinear balanced functions is described.It is shown that a balanced Boolean function with high nonlinearity on even number of variables can be obtained via modifying Maiorana-McFarland type bent functions.A conjecture about the upper bound of the nonlinearity of a balanced Boolean function on even number variables is given.
【基金】 国家自然科学基金(No.61003299);保密通信重点实验室项目(No.9140C1103031002);111计划(No.B08038);中央高校基本科研业务费专项资金项目
- 【文献出处】 电子学报 ,Acta Electronica Sinica , 编辑部邮箱 ,2011年03期
- 【分类号】TN918.1
- 【被引频次】6
- 【下载频次】149