Big update for Hydrangea! It now tolerates >33% faults (Byzantine or crash) and still commits in 2 rounds under certain parameterizations. For n = 3f + 2c + k + 1, Hydrangea commits in 2 rounds when faults <= (c+k)/2 for some parameter k; otherwise commits in 3 rounds while tolerating f Byzantine faults and c crash faults simultaneously. Tight lower bound also proven! Paper Link: