Balanced ternary and quaternary sequence pairs of odd period with three-level correlation

الملخص EN

Sequence pairs with good correlation have wide applications in communication systems.

In this paper, ternary and quaternary sequence pairs of odd period with three-level correlation are constructed based on cyclotomy.

In our constructions, sequences are both balanced and the maximum out-of-phase cross-correlation magnitude is shown to be √7 for ternary sequence pairs and to be √5 for quaternary sequence pairs, which are both better than the known sequence pairs of odd period with three-level correlation.