Xu (2005) derived nonregular designs based on the Nordstrom and Robinson (N- R) code, which is a well-known nonlinear code in coding theory. It was shown that these designs are better than regular designs of the same size in terms of resolution, aberration, and projectivity. This paper further extends this and proposes the use of quaternary codes to derive nonregular designs. Like designs derived from the N-R code, designs derived from quaternary codes have better statistical properties than regular designs of the same size. A collection of nonregular designs with 16, 32, 64, 128 and 256 runs is presented.