A large family of prime-phase sequences with low correlation

Abstract

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 ≥ 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.