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.