A new family of ternary sequences with ideal two-level autocorrelation function

Abstract

Let /spl alpha/ be a primitive element of F/sub 3n/. Let d=3/sup 2k/-3/sup k/+1 where n=3k. We show that the ternary sequence {s(t)} given by s(t)=Tr/sub n/(/spl alpha//sup t/+/spl alpha//sup dt/) has a two-level ideal autocorrelation function.