I wasn't sure either, but there is a rarely seen conversation with Legion in ME2 where he confirms this. (The whole thing is interesting, but the relevant bit is 1 minute in.)
To put it bluntly, you have no idea what Vendetta does and doesn't know. Ilos may have been top secret, but the Crucible likely was too. My point is that it would be rather easy to handwave him having some knowledge of that technology.
And again, the Reapers themselves may still have the necessary information.
Or who knows, the great minds from across all species comprising the Crucible project could crack the secret themselves. It's not like they have anything more pressing to work on.