二进制序列非周期相关函数的新下界

NEW LOWER BOUND OF BINARY SEQUENCES NONPERIODIC CORRELATIVE FUNCTION

主要讨论二进制序列集的非周期相关函数的新下界以及新下界所具有的性质。通过实验的方法分析权重系数的特点,使用数学软件求解部分n对应的最优权重向量,分析其规律,得到近似最优权重向量,从而建立关于n,M,δ更好的界。通过数据分析,新的界比已有的界都紧。

The new lower boundary of nonperiodic correlative function of binary sequence sets and the properties it has are discussed.The characteristic of the weights coefficient is analysed through the experiment,the best weight vectors corresponded by part of n are calculated using mathematical software,its rule is analysed,and the approximate best weight vectors is derived,thus the better bound correlating to n,M,δ is established.Data analysis shows that the bound is tighter than the existing bound.