M序列反馈函数多项式表示的快速构造方法

摘要

M序列反馈函数的构造一直是序列密码理论的研究热点.基于由m序列构造M序列反馈函数的结构特性,结合函数变换和函数派生的方式得到一类M序列反馈函数的快速构造方法,并给出了该类M序列反馈函数的多项式表示、计数以及重量性质.%The construction of M-sequence feedback functions has always been a hotspot in the theory of stream cipher. Based on the structural properties of the M-sequence feedback function constructed by the m-sequence, the method of fast construction of a class M-sequence feedback functions was proposed by combining the function transformation and func-tion derivative. Meanwhile, polynomial representation, amount and weight property of the class M-sequence feedback functions were considered.