2 research outputs found
Efficient (nonrandom) construction and decoding for non-adaptive group testing
The task of non-adaptive group testing is to identify up to defective
items from items, where a test is positive if it contains at least one
defective item, and negative otherwise. If there are tests, they can be
represented as a measurement matrix. We have answered the question
of whether there exists a scheme such that a larger measurement matrix, built
from a given measurement matrix, can be used to identify up to
defective items in time . In the meantime, a
nonrandom measurement matrix with can
be obtained to identify up to defective items in time .
This is much better than the best well-known bound, . For the special case , there exists an efficient
nonrandom construction in which at most two defective items can be identified
in time using tests. Numerical results show
that our proposed scheme is more practical than existing ones, and experimental
results confirm our theoretical analysis. In particular, up to
defective items can be identified in less than s even for