摘要
Rothaus在其文章《OnBentFunctions》中指出代数次数为3的6元Bent函数只有3个等价类.本文则推导出代数次数为3的6元Bent函数各等价类中函数的具体结构形式,并由此给出了以任意一个代数次数是3的6元Bent函数为分量的多维Bent函数的构造法.
Rothaus divided Bent functions of degree 3 on GF+6(2) into 3 equivalence classes in his paper 《On Bent Functions》.In this paper,the concrete algebraic form of functions in every class is derived.According to the results of this paper,with each Bent function of degree 3 on GF+6(2) as one of the output variables,3 dimension Bent functions an be constructed.
出处
《高校应用数学学报（A辑）》
CSCD
北大核心
2004年第1期9-17,共9页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
BENT函数
代数次数
线性等价
多维Bent函数
6元3维Bent函数
Bent function
algebraic degree
linear equivalent
multi-dimension Bent function
3-dimension Bent function on GF+6(2) of degree 3
