A large family of prime-phase sequences with low correlation
Sun Ni-gang, Chang-L Lin · 2009
A large family of p-phase highest coordinate sequences, where p is an odd prime, is constructed by using the highest coordinate of the generalized Kerdock codes over the ring Zpl, for l ges 3. Utilizing the local Weil bound and spectral analysis over the additive group of Zpl, we derive an estimate of the correlation of the sequences. And the result shows that these sequences have low nontrivial autocorrelation and crosscorrelation, which makes it possible as code sequences in CDMA communication systems.