  The classes of $(u,m,{\bf e},s)$-nets and $(u,{\bf e},s)$-sequences were
recently introduced by Tezuka, and in a slightly more restrictive form by Hofer
and Niederreiter. We study propagation rules for these point sets, which state
how one can obtain $(u,m,{\bf e},s)$-nets and $(u,{\bf e},s)$-sequences with
new parameter configurations from existing ones. In this way, we show
generalizations and extensions of several well-known construction methods that
have previously been shown for $(t,m,s)$-nets and $(t,s)$-sequences. We also
develop a duality theory for digital $(u,m,{\bf e},s)$-nets and present a new
construction of such nets based on global function fields.
