New nonbinary sequences with ideal two-level autocorrelation

Abstract--We find new families of nonbinary sequences of period 1 with symbols from a finite field for any prime 3. The sequences have two-level ideal autocorrelation and are generalizations of recently found ternary sequences with ideal autocorrelation. Difference sets with parameters 1 1 1 1 1 2 1 1 can also be derived from these sequences in a natural way.

• Type: Journal
• Year: 2002
• Where: TIT
• Authors: Tor Helleseth, Guang Gong
• Keywords: Ideal Autocorrelation, Sequences, TIT 2002, Two-level Ideal Autocorrelation