Numbers about total world computing power (most of it probably stuck in GPUs doing windows animations and playing Call of Duty) bandied about are in the Ne18ish ops/sec range, age of the universe is in the 4e17 range.
And I have a great deal of margin by treating a 'decrypt and verify' operation as a 'basic operation' and using a completely preposterous time period like the age of the universe instead of say, 10,000 years. Nobody is brute-forcing 128 bit keys anytime soon, that's a pretty basic mathematical and physical given. But if you're particularly paranoid, you can just as easily use 256 bit keys - nobody is brute-forcing those until we hit the singularity and become a galaxy-encompassing brain. Even then it might give us a serious, millennia-long headache.
Numbers about total world computing power (most of it probably stuck in GPUs doing windows animations and playing Call of Duty) bandied about are in the Ne18ish ops/sec range, age of the universe is in the 4e17 range.
And I have a great deal of margin by treating a 'decrypt and verify' operation as a 'basic operation' and using a completely preposterous time period like the age of the universe instead of say, 10,000 years. Nobody is brute-forcing 128 bit keys anytime soon, that's a pretty basic mathematical and physical given. But if you're particularly paranoid, you can just as easily use 256 bit keys - nobody is brute-forcing those until we hit the singularity and become a galaxy-encompassing brain. Even then it might give us a serious, millennia-long headache.