  We consider a novel group testing procedure, termed semi-quantitative group
testing, motivated by a class of problems arising in genome sequence
processing. Semi-quantitative group testing (SQGT) is a non-binary pooling
scheme that may be viewed as a combination of an adder model followed by a
quantizer. For the new testing scheme we define the capacity and evaluate the
capacity for some special choices of parameters using information theoretic
methods. We also define a new class of disjunct codes suitable for SQGT, termed
SQ-disjunct codes. We also provide both explicit and probabilistic code
construction methods for SQGT with simple decoding algorithms.
