Design of Experiments - US Army Conference on Applied Statistics

Covering Array Definition
A covering array CA(N; t, k, v) is an N
k array such that the i-th column contains
v distinct symbols. If a CA(N; t, k, v) has the property that for any t coordinate
projection, all v t combinations <strong>of</strong> symbols exist, then it is a t-covering array (or
strength t covering array). A t-covering array is optimal if N is minimal for fixed t, k,
and v.
N is the number <strong>of</strong> tests. (find minimum N)
k is the number <strong>of</strong> factors. (k=10)
t is the number <strong>of</strong> factors such that all t-factor combinations are tested. (t=2)
v is the number <strong>of</strong> levels <strong>of</strong> each factor. (v=2)