I know little about cryptanalysis and the mathematics behind cryptographic ciphers, so I can't comment much on that. But I doubt they'd break widely-used cipher

I know little about cryptanalysis and the mathematics behind cryptographic ciphers, so I can't comment much on that. But I doubt they'd break widely-used ciphers and continue to allow the military and executive to use them. Once broken, they would have to fear that the method would leak or be independently recreated by someone else. Everyone still uses RSA, D-H, AES and Blow/twofish though, as far as I know. And I find it unlikely that they've developed and built special hardware to brute-force these algorithms and nobody knows about it.