On the Cross-Correlation Distribution of d-Ary Generalized Legendre-Sidelnikov Sequences

The cross-correlation distribution of constant multiple sequences of the d-ary generalized LegendreSidelnikov sequences is investigated via character sums. An upper on the cross-correlation values of the sequences is then presented. As a byproduct, the autocorrelation distribution of d-ary Sidelnikov sequence is completely determined, which is only known in a special case.