基于6阶分圆数的广义几乎差集构造

Construction of Generational Almost Difference Set by 6-order Cyclotomy

将几乎差集的概念推广到广义几乎差集,并研究了其构造问题,利用分圆的方法构造了广义几乎差集,获得了广义几乎差集的若干性质,在6阶分圆的情况下得到一些广义几乎差集的无穷类。与传统的序列相比,广义几乎差集既大大扩展了具有良好相关性序列的存在空间,又为最佳离散信号的设计提供更广的地址码选择范围。

The definition and construction of generational almost difference set are studied.Generational almost difference set is constructed by means of cyclotomy and some properties and classes of generational almost difference set are obtained.Compared with traditional binary sequences,generational almost difference set pairs not only expand existential space for binary sequences of good correlation,but also provide broader choice range of the address yard.