Handbrake.fr suggests a couple of solutions:
HandBrake releases and nightly builds
Official HandBrake releases and nightly builds are available for Linux, Mac,
and Windows.
HandBrake is open-source software licensed under the GNU General Public License
Version 2 (GPLv2)1. Anyone can download and use HandBrake for free.
Ubuntu Linux users should install the official release PPA or the official
snapshots PPA. The PPA may work, but is not tested, on other Debian-compatible
distributions.
There are some warnings of crippled builds for political reasons:
Warning about broken third-party builds
Certain BSD/Linux distributions and package repositories create their own
versions of HandBrake. These modified versions are often crippled (features
removed for political reasons) and broken (bugs due to modifications), and
should be avoided.
Broken third-party packages/builds include but are not limited to:
Debian Multimedia: handbrake, handbrake-cli, handbrake-gtk
FreeBSD: handbrake
Gentoo: handbrake
For me personally, the FreeBSD version of handbrake was good enough, I
have even built it from the ports-collection, which was relatively quick
and painless.
So it might be that the package from deb-multimedia is more suitable,
even if you feel you belong to the political opposition in your country.
Finally, one could try to build the application from source.