A New CDMA Sequence Family with Low Correlation

Lei Hu · Dianzi xuebao · 2010

A new family of p-phase sequences with large family size is constructed,where p is an odd prime.The technique employed uses the highest coordinate of some linear recurrence sequences over the ring Zpl,for any integer l which is greater than or equal to 2.The size of the family is estimated.Based on Galois ring theory(the local Weil bound) and spectral analysis over the additive group of Zpl,we analyze the correlation properties of the sequences in detail and derive an estimate of the nontrivial autocorrelation and crosscorrelation of the sequences.The result shows that these sequences have low correlation,which makes it possible as code sequences in CDMA communication systems.

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