New nonbinary sequences with ideal two-level autocorrelation
We find new families of nonbinary sequences of period p(n) -- 1 with symbols from a finite field F, for any prime p greater than or equal to 3. The sequences have two-level ideal autocorrelation and are generalizations of recently found ternary sequences with ideal autocorrelation. Difference sets with parameters (p(n) - 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.
nonbinary sequences autocorrelation difference sets