Design of 8-QAM+ perfect arrays from perfect ternary arrays

In communications, radar, sonar, and so forth, perfect arrays play fairly important roles. In this paper, we will investigate the construction methods of such arrays over the 8-QAM+ constellation. More clearly, for a given existing perfect ternary array (PTA), we will present two methods to convert it into an 8-QAM+ perfect array, depending on the existence of odd number in its size or not, respectively. If all numbers in the size of the PTA to be transformed are even, the size of the resultant arrays is the same original one. Otherwise, it is expanded. Finally, the examples, given by us, show the validity of our methods.