New nonbinary sequences with ideal two-level autocorrelation function

New families of nonbinary sequences of period pⁿ-1 with symbols from a finite field F_p for any p≥3 are constructed with two-level ideal autocorrelation functions. Difference sets with parameters (pⁿ-1/p-1, p^n-1-1/p-1, p^n-2-1/p-1) can also be derived from these sequences in a natural way.