特征不为2的正交空间上的一类Pooling设计的构作

A Construction of Pooling Design from Orthogonal Groups over Finite Fields of Odd Characteristic

非适应性群验在DNA序列筛选等方面有许多实际应用.构作容错和纠错能力强的pooling设计是非适应性群验的中心问题之一.利用正交空间上的一类(m,2s,s)型子空间构作了一个dz-析取矩阵,并证明了当d≤q+1时,z值是最佳的.

A non-adaptive group testing has many practical applications.One of the examples is the problem of DNA library screening.Designing good error-tolerant pooling design is a central problem in the area of non-adaptive group testing.Subspace of type（m,2s,s） in theorthogonal space F2υq was used to construct a dz-disjunct matrix and prove that z is optimal when d≤q＋1.