  Large array-based transmission uses the combination of a massive number of
antenna elements and clever precoder designs to achieve array gain and
spatially multiplex different users. These precoders require linear front-ends,
and more specifically linear power amplifiers (PAs). However, this reduces
energy efficiency since PAs are most efficient close to saturation, where they
generate most nonlinear distortion. Moreover, the use of conventional
precoders, such as \gls{mrt}, induces a coherent combining of distortion at the
user location, degrading the signal quality. In this work, a linear precoder is
proposed that allows working close to saturation while canceling the coherent
combining of the third order nonlinear \gls{pa} distortion at the user
location. In contrast to other solutions, the zero third-order distortion
(Z3RO) precoder does not require prior knowledge of the signal statistics and
the PA model. The design consists of saturating a single or a few antennas on
purpose together with an opposite phase shift to compensate for the distortion
of all other antennas. The resulting array gain penalty becomes negligible as
the number of base station antennas grows large.
