After the Mycenaean palaces are destructed around 1200 BC, the Greeks were without any alphabet for around 400 years, but now they regained it. At that period, i.e. around 730 BC, the Iliad, and after a short while the Odyssey are transcribed. Although we don't have any manuscript from 8th century BC, the experts are almost sure that around 7 BC, there were copies of theses epics.