What is a good strategy for the iterated Prisoner's Dilemma when there is noise, a 5% chance that you...

Problem

What is a good strategy for the iterated Prisoner's Dilemma when there is
noise, a 5% chance that you misperceive your opponent's last move?

I (not so recently) took a strategy of games/negotiations class which
started with a Prisoner's Dilemma tournament which had a twist: there
was random noise included, so there was a 5% chance that you would think
that your opponent defected last round when he really co-operated (or
vice-versa).  Tit-for-tat still did pretty well in this tournament, but
sometimes got stuck in repeated defect-cooperate-defect-cooperate cycles
when playing against a similar strategy and "thinking" that the opponent
defected.  Tit-for-two tats did a bit better, as did my strategy of
playing tit-for-tat but throwing in a random cooperate every once in a
while to get out of cycles (this was less prone to being taken advantage
of by the strategies that threw in random defects every once in a while
to try to get some extra points).

Can anyone else come up with a better strategy?

-- Daniel Mytelka <mytelka@mendel.berkeley.edu>

[ Editor: the first paragraph is the editor's summary. ]