A construction of d(z)-disjunct matrices in a dual space of symplectic space

作者：Zhang Geng Sheng^*; Li Bo li; Sun Xiao lei; Li Feng xia

来源：Discrete Applied Mathematics, 2008, 156(12): 2400-2406.

DOI：10.1016/j.dam.2007.11.003

• group testing
• d-disjunct
• d(z)-disjunct
• ratio efficiency

In this paper, we construct a d(z)-disjunct matrix with subspaces in a dual space of symplectic space F-q((2v)) then give its several properties and a new definition, ratio efficiency t/n. As the smaller the ratio efficiency is, the better the pooling design is. We discuss the ratio efficiency of this construction and compare it with others, such as in [Anthony J. Macula, A simple construction of d-disjunct matrices with certain constant weights, Discrete Mathematics 162 (1996) 311-312; A.G. D'yachkov, Frank K. Hwang, Antony J. Macula, Pavel A. Vilenkin, Chih-wenWeng, A construction of pooling designs with some happy surprises, Journal of Computational Biology 12 (2005) 1129-1136].

• 出版日期2008-6-28
• 单位河北师范大学; 衡水学院