Abstract: A column sequence set of period 3m+1-1 is devised by the idea of confusion and balance from the ternary sequences of period 3m-1 with the ideal autocorrelation property proposed by Helleseth et al., and new ternary low correlation zone sequence sets of period 3n-1 are constructed by using the column sequence set, where m and n are different positive integers with (m+1)|n. The conclusion shows that the low correlation zone sequence sets are optimal with respect to the Tang-Fan-Matsufuji bound and can be applied to practical quasi-synchronous(QS) CDMA systems.

Key words: low correlation zone sequence, correlation function, d-form function, difference balance