New nonbinary sequences with ideal two-level autocorrelation

Abstract

We find new families of nonbinary sequences of period p/sup n/-1 with symbols from a finite field F/sub p/ for any prime p/spl ges/3. The sequences have two-level ideal autocorrelation and are generalizations of previously found ternary sequences with ideal autocorrelation. Difference sets with parameters ((p/sup n/-1)/(p-1), (p/sup n-1/-1)/(p-1), (p/sup n-2/-1)/(p-1)) can also be derived from these sequences in a natural way.