An orthogonal design of order \(n\) and type \((s_1, s_2,\dots, s_n)\) \((s_i> 0)\), denoted \(\text{OD}(n; s_1,s_2,\dots, s_n)\), on the commuting variables \(x_1,x_2,\dots, x_n\) is an \(n\times n\) matrix \(A\) with entries in \(\{0,\pm x_1,\dots,\pm x_n\}\) such that \[ AA^T= \Biggl(\sum^n_{i=1} s_i x^2_i\Biggr) I_n. \] In this paper the authors propose some methods for multiplying the length and type of sequences with elements in a set of commuting variables, which have zero nonperiodic autocorrelation function (NPAF). They use base sequences of lengths \(n+1\), \(n+1\), \(n\), \(n\) in order to construct four direct sequences of lengths \(n+1\), \(n+1\), \(n,n\) and type \((2n+ 1, 2n+1)\) with zero NPAF. They also construct two and four directed sequences with zero periodic autocorrelation function of length 34 and types (34, 34) and (34, 34, 34, 34), respectively, as well as four directed sequences with zero NPAF of lengths 34, 34, 33, 33 and type (67, 67).