Abstract
In this paper, for a positive integer M and a prime p such that M|pn - 1, a family of M-ary sequences using the M-ary Sidel'nikov sequences with period pn-1 is constructed. This family has its maximum magnitude of correlation values upper bounded by 3radic(pn) + 6 and the family size is (M-I)2(2 n-1-1) + M - 1 for p = 2 or (M-1)2(pn -3)/2+ M (M-1)/2 for an odd prime p.
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