The OP question was could they be built today, not could they be built using the same construction techniques and detailed design. Unfortunately those were not recorded, and we don’t even know if a 130 meter ship was ever built.
As already stated, a 140 meter wooden ship was built in 1917 – The Wyoming – so it’s obvious 20th century man had the ability to make a ship in that size range: Wyoming (schooner) - Wikipedia
Actually, we couldn’t make better cement than the Romans until very recently, because we weren’t sure how they made theirs. It turns out they used volcanic ash containing silicates.
I’m curious about this - I had heard that we didn’t know the exact formulation until relatively recently, but not the that it was superior to our stuff. What are the advantages (and disadvantages) of the Roman formula?
Yes, but hydraulic cement was a lost art until the early 1800s, and Portland cement (the first type of hydraulic cement patented) wasn’t as good as Roman cement. As noted above, there are Roman cement structures still standing that few modern buildings could even hope to outlast. It wasn’t until the mid-60s or so that we actually improved on Roman cement.
In my last visit to the old country I even saw fins on some buses (there are no public, government ones), and they were also the ones with a lot of religious signs and images.
