摘要
从函数结构角度对Bent函数与Plateaued函数、部分Bent函数与Plateaued函数的关系进行了研究,指出了任意一个Bent函数都可拆分成2个Plateaued函数的链接,而Plateaued函数在满足一定条件下也可拆分成Bent函数的链接。给出了n-1阶Plateaued函数具有非零线性结构时与Bent函数的特殊关系,讨论了部分Bent函数可表示成2个Plateaued函数链接时的条件。研究结果进一步说明了这3类具有特殊Walsh谱值密码函数之间有着紧密的内在联系,为密码设计中使用此类函数提供了重要依据。
The relationship among Bent functions,partially Bent functions and Plateaued functions was discussed,point out that any Bent functions could be divided into two Plateaued functions,and Plateaued function satisfying certain conditions could also be divided into two Bent functions.Propose the special relation between Plateaued of n？1 order with non-zero linear structure and Bent functions,and show that partially Bent functions satisfying certain conditions Could be divided into two Plateaued functions.These results show the close connection among the three cryptographic Boolean functions with special Walsh spectrum,which propose the important basis for designing cipher using these functions.
出处
《通信学报》
EI
CSCD
北大核心
2010年第7期104-109,共6页
Journal on Communications
