Periodic complementary sets of binary sequences
Dragomir Ž. Ðoković · 2007
Let PCS N p denote a set of p binary sequences of length N such that the sum of their periodic auto-correlation functions is a δ-function. In the 1990, Bömer and Antweiler addressed the problem of constructing PCS N p. They presented a table covering the range p ≤ 12, N ≤ 50 and showing in which cases it was known at that time whether PCS N p exist, do not exist, or the question of existence is undecided. The number of undecided cases was rather large. Subsequently the number of undecided cases was reduced to 26 by the author. In the present note, several cyclic difference families are constructed and used to obtain new sets of periodic binary sequences. Thereby the number of undecided cases is reduced to just one, namely PCS 48