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M 序列反馈函数的构造方法Ⅰ
ON METHODS OF CONSTRUCTING THE FEEDBACK FUNCTIONS OF M SEQUENCES Ⅰ
【摘要】 <正> 设 f(x0,x1,…,xn-1)=x0+f0(x1,…,xn-1)是一 n 元非奇布尔函数,其中加法是模2加.假定二元域 F2上的无穷序列 α=(a0,a1,a2,…),ai∈F2,i≥0,满足ak+n=f(ak,ak+1,…,ak+n-1,(?)k≥0,则称α是以 f 为反馈函数的 n 级移位寄存器序列,并以(?)(f)记所有以 f 为反馈函数的亭列组成的集合.因为 f 非奇,所以(?)(f)中的序列都是周期序列.对于 α∈(?)(f),α
【Abstract】 In this paper,a general method of generating spanning trees in the factor incidentgraph of shift register is proposed.Sevcral classes of feedback functions of M sequen-ces are constructed directly and feedback functions of M sequences are derived fromthese functions.In addition,among the incident graphs,a class of homomorphism isdefined,which can be used to construct M sequences.
- 【文献出处】 应用数学学报 ,Acta Mathematicae Applicatae Sinica , 编辑部邮箱 ,1986年02期
- 【被引频次】13
- 【下载频次】124