The cross-correlation function of p-ary (p prime) GMW sequences is inv
estigated. The well-known m-sequences are incorporated in these sequen
ces. GMW sequences also have the two-level autocorrelation function, b
ut their linear span may be much larger than those of m sequences. The
calculation of the cross-correlation function of GMW sequences is red
uced to the cross-correlation of the m-sequences because many results
on this kind of sequences are known. In the literature, only the cross
-correlation function of an m sequence with a GMW sequence has been kn
own up to now.