New classes of sequence families with low correlation by using m...

For an odd prime p, a new sequence family of period pm – 1, size (M – 1)pmr is proposed using multiplicative and additive characters. The upper bound for the maximum magnitude of nontrivial correlations of the sequence family is derived using well-known character sums. The upper bound is shown to be (r+1)\sqrt (p^m)+3, which meets the Welch bound asymptotically