Synthesis of cyclically orthogonal binary sequences of the same least period
Domenick Calabro, J. Paolillo · IEEE Transactions on Information Theory · 1968
The generation of cyclically orthogonal binary codes of the same least period is discussed. It will be shown that pairs of cyclically orthogonal binary sequences of length and least periodN = 2^{k}rcan be synthesized for all integerskand any nonprime odd integer r. The structure of these codes is self-evident from the synthesis; hence, codes of any given length of the indicated form are readily obtained. Bounds on the maximum possible number of mutually cyclically orthogonal binary sequences of the same least period are also presented.