Department of Statistics, UCLA

The Nordstrom and Robinson code is a well-known nonlinear code in coding theory. This paper explores the statistical properties of this nonlinear code. Many nonregular designs with 32, 64, 128, 256 runs and 7-16 factors are derived from it. It is shown that these nonregular designs are better than regular designs of the same size in terms of resolution, aberration and projectivity. Furthermore, many of these nonregular designs are shown to have generalized minimum aberration among all possible designs. Seven orthogonal arrays are shown to have unique wordlength pattern and four of them are shown to be unique up to isomorphism.