中文摘要：

根据实践中用状态剪接法获得的一种级数有限的类m序列,用数学手段证明级数为任意数时这种类m序列仍然存在,方法是将m序列移位寄存器的状态和有效反馈位都按奇数位和偶数位分开,分别研究它们对反馈值的影响,从理论上证明了级数为任意整数时,相关的共轭状态都符合类m序列的形成条件。经过分析和测试表明,该类m序列具有良好的伪随机特性。

英文摘要：

In reality , a kind of allied m - sequence with finite series can be obtained by the way of state splicing. On the basis of this , we can prove the existence of this allied m - sequence when the series are any numbers by the way of mathematics ： That is to separate the state of m - sequence shift register and the effective feedback bits based on the odd and even numbers , and study their influence on feedbacks respectively. On the basis of theory , bers, relative conjugate states have the condition we can get a finding that when series are any num- to form an allied m- sequence . By analysis and tests, allied m -sequence, we get has a perfect pseudo random character.