  This paper proposes the first implementation of a self-stabilizing regular
register emulated by $n$ servers that is tolerant to both mobile Byzantine
agents, and \emph{transient failures} in a round-free synchronous model.
Differently from existing Mobile Byzantine tolerant register implementations,
this paper considers a more powerful adversary where (i) the message delay
(i.e., $\delta$) and the period of mobile Byzantine agents movement (i.e.,
$\Delta$) are completely decoupled and (ii) servers are not aware of their
state i.e., they do not know if they have been corrupted or not by a mobile
Byzantine agent.The proposed protocol tolerates \emph{(i)} any number of
transient failures, and \emph{(ii)} up to $f$ Mobile Byzantine agents. In
addition, our implementation uses bounded timestamps from the
$\mathcal{Z}\_{13}$ domain and it is optimal with respect to the number of
servers needed to tolerate $f$ mobile Byzantine agents in the given model.
