A construction of d(z)-disjunct matrices by orthogonal space and discussion on their design parameters

摘要

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 t x n d(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.