On Infinite Families of Sequences with One and Two Valued Autocorrelation and Two Valued Crosscorrelation Function

We show how to construct infinite families of sequences that have one and two valued autocorrelation and two valued crosscorrelation function. These sequences are obtained via the discrete Fourier transform of integer sequences. The sequences obtained can be complex valued or having entries ε {0, 1, ... , p}, p prime, depending on the construction used.