  In this letter, we propose a novel construction of type-II $Z$-complementary
code set (ZCCS) having arbitrary sequence length using the Kronecker product
between a complete complementary code (CCC) and mutually orthogonal uni-modular
sequences. In this construction, Barker sequences are used to reduce row
sequence peak-to-mean envelope power ratio (PMEPR) for some specific lengths
sequence and column sequence PMEPR for some specific sizes of codes. The column
sequence PMEPR of the proposed type-II ZCCS is upper bounded by a number
smaller than $2$. The proposed construction also contributes new lengths of
type-II $Z$-complementary pair (ZCP) and type-II $Z$-complementary set (ZCS).
Furthermore, the PMEPR of these new type-II ZCPs is also lower than existing
type-II ZCPs.
