  We study many-body localization (MBL) transition in disordered Floquet
systems using a polynomially filtered exact diagonalization (POLFED) algorithm.
We focus on disordered kicked Ising model and quantitatively demonstrate that
finite size effects at the MBL transition are less severe than in the random
field XXZ spin chains widely studied in the context of MBL. Our conclusions
extend also to other disordered Floquet models, indicating smaller finite size
effects than those observed in the usually considered disordered autonomous
spin chains. We observe consistent signatures of the transition to MBL phase
for several indicators of ergodicity breaking in the kicked Ising model.
Moreover, we show that an assumption of a power-law divergence of the
correlation length at the MBL transition yields a critical exponent $\nu
\approx 2$, consistent with the Harris criterion for 1D disordered systems.
