A New Family of Ternary Sequences with Ideal Two-level Autocorrelation Function

AbstractLet α be a primitive element of $$F_{3^n } $$ . Letd=32k-3k+1 wheren=3k. We show that the ternary sequence s(t) given by $$s(t) = Tr_n (\alpha ^t + \alpha ^{dt} )$$ has a two-level idealautocorrelation function.