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Pick two ''m''-sequences of the same length ''n'', such that their Cross-correlation takes just three values. The set of the ''n'' Exclusive-or s of the two sequences in their various phases (i.e. translated into all relative positions), together with the two ''n''-sequences themselves, is a set of Gold codes.

The Exclusive Or of two Gold codes is another Gold code in some phase.

A set of gold sequences consist of 2m+1 sequences each one with a period of 2m-1.

All 2m+1 sequences are balanced and contain 2m-1 ones and 2m-1 zeros.


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