  It is well-known that digital $(t,m,s)$-nets and $(\Tfett,s)$-sequences over
a finite field have excellent properties when they are used as underlying nodes
in quasi-Monte Carlo integration rules. One very general sub-class of digital
nets are hyperplane nets which can be viewed as a generalization of cyclic nets
and of polynomial lattice point sets. In this paper we introduce infinite
versions of hyperplane nets and call these sequences hyperplane sequences. Our
construction is based on the recent duality theory for digital sequences
according to Dick and Niederreiter. We then analyze the equidistribution
properties of hyperplane sequences in terms of the quality function $\Tfett$
and the star discrepancy.
