New nonbinary sequences with ideal two-level autocorrelation

We find new families of nonbinary sequences of period pⁿ-1 with symbols from a finite field F_p for any prime p⩾3. The sequences have two-level ideal autocorrelation and are generalizations of previously found ternary sequences with ideal autocorrelation. 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