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To identify the galaxies responsible for the reionization of the Universe, wemust rely on the investigation of the Lyman Continuum (LyC) properties of z<5star-forming galaxies, where we can still directly observe their ionizingradiation. We selected a sample of 201 star-forming galaxies from the VimosUltra Deep Survey at 3.5<z<4.3 to explore the validity of some of the proposedindirect indicators of LyC radiation. We created subsamples of galaxies withEWLya>70{\AA}, Lya(ext)<5.7kpc, rUV<0.3kpc and |Dv Lya|<200km/s, stacked allthe galaxies in each subsample and measured the flux density ratiofnu(895)/fnu(1470), that we consider to be a proxy for LyC emission. Wecompared these ratios to those obtained for the complementary samples. We findthat the stacks of galaxies which are UV compact (rUV<0.3kpc) and have brightLya emission (EWLya>70{\AA}), have much higher LyC fluxes compared to the restof the galaxy population in agreement with theoretical studies and previousobservational works. We also find that galaxies with low Lya(ext) have thehighest LyC flux: this new correlation seems even stronger than thecorrelations with high EWLya and small rUV. These results assume that thestacks from all the subsamples present the same statistical contamination fromlower redshift interlopers. If we subtract a statistical contamination from lowredshift interlopers obtained with dedicated Monte Carlo simulations, from theflux density ratios (fnu(895)/fnu(1470)) of the significant subsamples we findthat these samples contain real LyC leaking flux with a very high probability,but the true average escape fractions remain uncertain. Our work indicates thatgalaxies with very high EWLya, small Lya(ext) and small rUV are very likely thebest candidates to show LyC radiation at z=4 and could therefore be thegalaxies that contributed more to reionization.

Ly${\alpha}$-Lyman Continuum connection in 3.5 < z < 4.3 star-forming galaxies from the VUDS survey