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Lasken notes that some Linear B tablets contain Latin terms, and must date after circa 207 BC. This is not to say that they all must, nor does it take into account the fact that Latin is older than this and the loan vocabulary could have resulted from the extensive commerce. However, none of it works under the conventional chronology, with its imaginary and quite modern "dark age" between the Mycenaeans and classic Greeks.
A Proper Dating of the Linear B Tablets
by Jesse E. Lasken
ESOP 1993 v 22
While there is general agreement that the language of the Linear B tablets was Greek, many words lack clear cut Greek etymologies and have not been satisfactorily translated. This has led to suggestions that the tablets may contain a sort of jargon combining several languages. I will demonstrate the equivalence of the Mycenaean terms ko-re-te, po-ko-re-te, e-qu-ta, and ra-wa-ke-ta [with] the Latin terms curator, procurator, equite, and legatus and discuss other evidence suggesting that Latin was included in the Linear B tablets. I am not disputing that Mycenaean is a Greek tongue; however, the scribes who prepared these tablets were also using, to a limited extent, certain Latin terms and constructions.
207 BC? Aw, that's just a coincidence... ;') There is one eruption attested in surviving ancient sources (and Herodotus isn't it -- he has quite a lot about the island) -- circa 199 BC. Here's something additional on the topic:
The Linear B Tablets
and Mycenaean Social, Political,
and Economic Organization
Prehistoric Archaeology of the Aegean
Trustees of Dartmouth College
Revised: Friday, March 18, 2000
KO-RE-TE, PO-RO-KO-RE-TE [koreter, prokoreter] -- Such officials are known at both Knossos and Pylos. The titles bear a suspiciously close resemblance to the Latin terms curator and procurator ("guardian" and "manager, imperial officer/governor" respectively). The Linear B evidence suggests that the koreter was a local official in charge of one of the sixteen major administrative units within the Pylian kingdom, and the prokoreter was evidently his deputy.