Note on Periodic Complementary Sets of Binary Sequences

Denote by $PCS_p^n $ resp. $ACS_p^n $ thecollection consisting of ordered p-tuples of binary sequences(i.e., sequences whose elements are $ \pm 1$ ), each having length n, such that the sum of their periodic resp. aperiodicauto-correlation functions is a delta function. We fill many open cases inthe Bömer and Antweiler diagram 3] of the known cases where $PCS_p^n $ exist for $p \leqslant 12$ and $n \leqslant 50$ . In particular we show that $PCS_2^{34} $ exist, whileit is well known 1] that $ACS_2^{34} $ do not.