Abstract:

Cyclotomic sequences with a few correlation values have wide applications in communication systems and cryptography. Let p≡1 mod 3. We calculate the autocorrelation values of a class of unbalanced cyclotomic and periodic p sequences of order three over GF(3). Moreover, we support a condition of prime p such that it has 3level autocorrelation values.

Key words: autocorrelation;cyclotomic numbers;cyclotomic sequences