New binary complementary codes compressing a pulse to a width of several sub-pulses

In this paper, we propose new binary complementary codes, which compress a pulse to a width of several sub-pulses, and survey all combinations of the binary complementary codes with several code lengths. We are able to find a large number of binary complementary codes and complete complementary codes. Furthermore, we show that longer such complementary codes can be acquired using the expansion method shown by Golay. In addition, we show that the auto-correlation sidelobe of an individual code for the proposed binary complementary code pair is smaller than that of the conventional.