  Sequences with low auto-correlation property have been applied in
code-division multiple access communication systems, radar and cryptography.
Using the inverse Gray mapping, a quaternary sequence of even length $N$ can be
obtained from two binary sequences of the same length, which are called
component sequences. In this paper, using interleaving method, we present
several classes of component sequences from twin-prime sequences pairs or GMW
sequences pairs given by Tang and Ding in 2010; two, three or four binary
sequences defined by cyclotomic classes of order $4$. Hence we can obtain new
classes of quaternary sequences, which are different from known ones, since
known component sequences are constructed from a pair of binary sequences with
optimal auto-correlation or Sidel'nikov sequences.
