  In this manuscript we discuss the device-independent conference key agreement
(DICKA) protocol [Phys. Rev. A 97, 022307 (2018)]. We show that the suggested
honest implementation fails, because perfect correlated measurement results and
the required Bell-inequality violation cannot be achieved simultaneously, in
contradiction to what is claimed. We further show via semidefinite programming
that there cannot exist any suitable honest implementation in the tripartite
setting, rendering the DICKA protocol incomplete.
