论文信息 - A construction of dz-disjunct matrices by orthogonal space and discussion on their design parameters

A construction of dz-disjunct matrices by orthogonal space and discussion on their design parameters

In this paper, we construct a class of d^z-disjunct matrices with high degree of error-correction (detection) by geometry of orthogonal group over finite field of odd characteristic and discuss the disjunct properties of them. For a txnd^z-disjunct matrix, it has four parameters, n,t,d,z, which we call the design parameters of the d^z-disjunct matrix. In order to facilitate the selection of a pooling design in line with our need, we have discussed how these design parameters change with their variables based on the construction.

[1] Ding-Zhu Du,et al. New constructions of non-adaptive and error-tolerance pooling designs , 2002, Discret. Math..

[2] Anthony J. Macula,et al. A simple construction of d-disjunct matrices with certain constant weights , 1996, Discret. Math..

[3] Hung-Lin Fu,et al. A novel use of t-packings to construct d-disjunct matrices , 2006, Discret. Appl. Math..

[4] Frank K. Hwang. On Macula's error-correcting pool designs , 2003, Discret. Math..

[5] Weili Wu,et al. On error-tolerant DNA screening , 2006, Discret. Appl. Math..

[6] Sergey Yekhanin,et al. Trivial two-stage group testing for complexes using almost disjunct matrices , 2004, Discret. Appl. Math..

[7] Zhe-xian Wan,et al. Geometry of classical groups over finite fields and its applications , 1997, Discret. Math..

[8] Frank K. Hwang,et al. A Construction of Pooling Designs with Some Happy Surprises , 2005, J. Comput. Biol..

[9] Tayuan Huang,et al. Pooling spaces and non-adaptive pooling designs , 2004, Discret. Math..

[10] Arkadii G. D'yachkov,et al. Nonadaptive and Trivial Two-Stage Group Testing with Error-Correcting d e-Disjunct Inclusion Matrices , 2007 .

[11] D. Du,et al. Pooling Designs And Nonadaptive Group Testing: Important Tools For Dna Sequencing , 2006 .