the cross-correlations between Gordon-Mills-Welch(GMW) sequences and Welch-Gong(WG) sequences(decimated WG sequences with one particular exponent) and that of WG sequences were investigated.It shows that the calculations of the cross-correlation between GMW sequences and WG sequences(decimated WG sequences with one particular exponent) and that of WG sequences were all related to the cross-correlation of m-sequences and their decimations.Moreover
the cross-correlation of WG sequences can be 3-valued or 5-valued under a certain condition.Furthermore
the maximum magnitude of the cross-correlation between GMW sequences and WG sequences were given.