Trading was halted because they did not filed on time and it resumes
today with big volume and some trade going up to 0.03...

On Yahoo finance we see a more detailed view of what happened:
http://finance.yahoo.com/q/bc?s=LYT.V&t=5d&l=on&z=m&q=l&c=

I wonder if there are some secret news some insiders are trying to
capitalize on or if it is just speculation on the trading halt...

Here is what we can read on Lyrtech website:

2008-06-17
Following up on the news announced June 13, Lyrtech has received
confirmation that trading will resume on Wednesday June 18.

2008-06-13
A cease trading order was issued June 6, 2008, because Lyrtech delayed
filing its results for the first quarter of 2008. The documents were,
however, filed the same day the cease trading order was issued.
Lyrtech has received confirmation that the order will be lifted by the
Autorité des marchés financiers (market authority of the province of
Quebec) and we are currently waiting for TSX to resume trading.