  Randomized rumor spreading is a classical protocol to disseminate information
across a network. At SODA 2008, a quasirandom version of this protocol was
proposed and competitive bounds for its run-time were proven. This prompts the
question: to what extent does the quasirandom protocol inherit the second
principal advantage of randomized rumor spreading, namely robustness against
transmission failures?
  In this paper, we present a result precise up to $(1 \pm o(1))$ factors. We
limit ourselves to the network in which every two vertices are connected by a
direct link. Run-times accurate to their leading constants are unknown for all
other non-trivial networks.
  We show that if each transmission reaches its destination with a probability
of $p \in (0,1]$, after $(1+\e)(\frac{1}{\log_2(1+p)}\log_2n+\frac{1}{p}\ln n)$
rounds the quasirandom protocol has informed all $n$ nodes in the network with
probability at least $1-n^{-p\e/40}$. Note that this is faster than the
intuitively natural $1/p$ factor increase over the run-time of approximately
$\log_2 n + \ln n $ for the non-corrupted case.
  We also provide a corresponding lower bound for the classical model. This
demonstrates that the quasirandom model is at least as robust as the fully
random model despite the greatly reduced degree of independent randomness.
