摘要
给出了新的一般有限域上多值逻辑函数的线性谱定义,并对两类谱的转换公式做了进一步简化.对一般有限域上多值逻辑函数的线性结构进行了分类,刻画了线性结构的谱特征,证明了有限域上多值逻辑函数的退化性和0类线性结构的研究是等价的.
A new definition of linear spectrum of multi-valued logical functions over finite field was proposed. And then the formulae of the two spectra were simplified. Furthermore the linear structures of multi-valued logical function were classified, and the study of the degeneration of multi-valued logical function over finite field and its zero class linear structure were proved to be equivalent.
出处
《北京邮电大学学报》
EI
CAS
CSCD
北大核心
2006年第1期43-47,共5页
Journal of Beijing University of Posts and Telecommunications
基金
国家自然科学基金项目(60373059)
教育部博士点基金项目(20040013007)
中科院信息安全重点实验室开放基金项目
关键词
有限域
多值逻辑函数
线性谱
线性结构
finite field
multi-valued logical function
linear spectrum
linear structure
