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

In this paper, we construct a class of dzdz-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 t×ndz-disjunct matrix, it has four parameters, n,t,d,zn,t,d,z, which we call the design parameters of the dzdz-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.