On the Existence of Periodic Complementary Binary Sequences

@article{Arasu1992OnTE,
  title={On the Existence of Periodic Complementary Binary Sequences},
  author={K. T. Arasu and Qing Xiang},
  journal={Des. Codes Cryptography},
  year={1992},
  volume={2},
  pages={257-262}
}
A set of binary sequences (here binary means the element of the sequence is +1 or -1.) is called a set of periodic complementary binary sequences (PCS) if the sum of the periodic autocorrelation functions of all sequences is a delta function. More precisely, let {al, 0 _< i <_ p -1} be a set of p binary sequences each with N elements. Every element of the a t sequences is equal to +1 or -1 . We define the periodic autocorrelation function (PACF) ~aia~(k) as follows