Gold code
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A Gold code is a set of binary sequences, used in telecommunication and satellite navigation (GPS).
Pick two m-sequences of the same length n, such that their cross-correlation takes just three values. The set of the n exclusive-ors 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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