A New Prime-Phase Sequence Family with Low Correlation and Large Size
Nigang Sun, Lei Hu, Lu Li, Xuyun Nie · 2007
A new family of p-phase low-correlation sequences with large family size, where p is an odd prime, is constructed by using the highest coordinate of linear recurrence sequences over the ring Zp l, for l ges 2. Utilizing Galois ring theory (the local Weil bound) and spectral analysis over the additive group of Zp l, we derive an estimate of the correlation of the sequences.