Semi-bent functions play an important role in symmetric ciphers and sequence designs. So far, there are few studies related to the construction of vectorial semi-bent functions even though lots of ...work has been done on single-output semi-bent functions. In this paper, three classes of balanced vectorial semi-bent functions are presented with varying cryptographic properties. The classes denoted
D
C
and
D
S
are constructed using disjoint codes and disjoint spectra functions, respectively. The former class has a useful provable property that its component functions do not admit linear structures. It is shown that the number of output bits of the constructed
n
-variable
D
C
and
D
S
vectorial functions can respectively reach
(
n
+
1
)
/
2
and
n
/3. In addition, a construction method of semi-bent functions from
F
2
3
n
→
F
2
n
by using almost bent (AB) functions on
F
2
n
is given.
