According to one aspect, systems and processes for assaying a plurality of nucleic acid samples are provided. In an exemplar}' process, a matrix is generated including pools and samples using a pooling scheme with decoding capability equal to a number D. Matrix organization includes assigning one pool in a set of pools per row by one sample in a set of samples per column. Sample assignment creates a known pattern of pools, wherein each sample in the set of pools is assigned a total number of D + 1 times and any two pools have at most one sample in common. Samples are pooled based on a pooling scheme, where pooled samples are assayed. Positive pools are determined and one or more positive samples are identified. The matrix is displayed as a visual pattern representing the known pattern of pools, the identified positive samples, and the determined positive pools.