p-phase CDMA Sequence with Large Li near Complexities and Low Correlation

Sun Ni-gang · Jisuanji gongcheng · 2010

A new family of p-phase highest coordinate sequences, is constructed by using the highest coordinate of the generalized Kerdock codes over the ring Z p2. This paper not only deduces an exact formula on the linear complexities of the sequences, but also derives an estimate of the correlation of the sequences by utilizing the Weil exponential sums over Galois rings. Results shows that these sequences have both large linear complexities and low crosscorrelation and nontrivial autocorrelation, which make it possible to be the code sequences in CDMA communication systems.

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