On the existence of periodic complementary binary sequences

@article{Arasu1992OnTE,
  title={On the existence of periodic complementary binary sequences},
  author={K. Arasu and Qing Xiang},
  journal={Designs, Codes and Cryptography},
  year={1992},
  volume={2},
  pages={257-262}
}
  • K. Arasu, Qing Xiang
  • Published 1992
  • Mathematics, Computer Science
  • Designs, Codes and Cryptography
Using the connection between periodic complementary binary sequences and difference families given by Bömer and Antweiler [2], we use number theoretic techniques to obtain necessary conditions for their existence when two or three sequences are involved. Our results provide theoretical proof for the nonexistence of PCS320(ai) and settle the open case PCS236(ai) of [2], negatively. 
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