Punctured Difference Set Pair and Perfect Punctured Binary Sequence Pair

In this paper, a new block design (punctured difference set pair) is presented, in order to do further research on perfect punctured binary sequence pair. Study the properties of punctured difference set pair, and show that a special class of punctured difference set pair is equivalent to perfect punctured binary sequence pair. Therefore, the corresponding perfect punctured binary sequence pair can be obtained by using difference set, based on the equivalent condition. The method proposed in this paper develops the constructing methods for perfect punctured binary sequence pair, as well, it can meet the practical requirements in engineering applications better.