DES, pretty much the first strong civilian encryption algorithm, is crackable due to brute-forcing the 56-bit key space, which has been pointed out as a security problem almost 50 years ago, but in terms of cryptanalysis it's doing ok.
AES will turn 25 soon and the best cryptanalyses today are like a factor four faster than brute-force (but require rather significant memory, which brute force doesn't), which is basically nothing.
> On average, to brute-force attack AES-256, one would need to try 2^255 keys. (This is the total size of the key space divided by 2, because on average, you'll find the answer after searching half the key space.) So the time taken to perform this attack, measured in years, is simply 2^255 / 2,117.8 trillion
> Expressed as an exponent of 10, that’s 2.73 * 1061. Written in full format:
>27,337,893,038, 406,611, 194,430,009, 974,922,940, 323,611,067, 429,756,962, 487,493,203 years.
>In English: 27 trillion trillion trillion trillion trillion years.
From-https://scrambox.com/article/brute-force-aes/
I’d love to hear Hacker News opinions on how long that will be valid due to faster computers, quantum computing etc. Or if it will always pretty much be valid in your opinion?
The number they get for all the PCs on earth trying it is still 13,689 trillion trillion trillion trillion years. The universe is only 14 billion years old and estimates of what the universe will be like in even a trillion years are more like science fiction than science because it is so wildly long.
I really enjoyed reading it.
Bremermann's Limit[1] puts a fundamental limit on the rate of computation for any given amount of mass of about 1.36e50 bit changes/second/kg. Unless you get an amount of mass of literally planetary scale (as large as, say, Mercury) to take part in your computation the time will be enormous even for a 256-bit key.
More seriously, GPUs are faster because they are highly parallel, and parallelism can only give you a speedup that is linear with the number of processing units. So unless you're planning to build a GPU with trillions units, that won't help much.
If it looks like someone is going to build a quantum computer out of the entire mass of the silicon in Earth's crust, I suggest 512-bit keys. That'll keep your secrets safe for about 9E73 years. I'd also suggest finding a new planet to live on, the mining operation would likely be somewhat disruptive.
For a more realistic comparison, perhaps they've only got a computer with as much mass of iron ore as the recent annual world production for the last thousand years (2.5E9 tonnes/year = 2.5E15 kg). Then it'll take around 5000 to run 2^255 operations.
AES is still believed to be quantum resistant.
The Ars article is terrible at conveying this; you have to get to the 7th paragraph to get even the first hints of this. I usually expect better from them.
[0] https://www.vice.com/en/article/akgb88/viral-jump-humping-ti...
Ah, God bless all the horny teenagers trying to rationalise their way around a belief system derived from an Iron Age society.
Always puts me in mind of a certain Garfunkel and Oates song. (nsfw)[1]
Does anyone know what are the other use cases for these techniques? The article is very interesting! Thanks for sharing
Scientific methods relating to historical and archeological discovery are immensely important, this article in particular highlights something that may indicate many other hisorical letters/documents may contain previously missed information that while likely mostly mundane minutae, a shining example could alter how we understand history and the interplay of historical figures.
That said it seems this just referencing a less common use of a specific technology to solve a problem which I suppose is appropriate
I'd put that very differently. Some are interested in what they have, others in what they do, the rest in how they do. And, I don't think that people on HN are predominantly interested in things. I think they're above all interested in acts.
The division is long established in the scientific lit - just highlighting it exists.
I find it unlikely anyone was expecting to find some revelatory details in the letters between Marie Antoinette and her alleged lover. They just wanted to know more about her intimate affairs.
The article on Ars is pretty shit at conveying that - you have to get to the 7th paragraph for any technical details to come up - but that’s an(other) indictment of Ms. Oulette, not the research team.
It's not like society is bound to work on one thing at a time...
And I didn't say uninteresting. The authour of the letters purposefully removed the lines from the historical record for modesty's sake. It's similar to digging through a celebrity's trash to find salacious gossip.
How to know before finding out?
The bonds between Swedish and French nobility during this time period are interesting. About twenty years after these events, one of Napoleon's marshals was offered the Swedish crown and became king of Sweden.
The article mentions the process being used on Egyptian papyrus and the Dead Sea Scrolls. There are countless other recovered bits of parchment that the process could be used on from around the world, possibly uncovering more primary sources about antiquity.
Or just like any other of von Fersen's letters would probably be more illuminating about French Swedish relations, though I don't know if they were censored. His fondness of Antoinette was already known.
> I just heard. What the fuck? I really liked Descartes! I sent him over so we could share, and you go killing him?! Fuck. This is why we can't have nice things.
> Toodles, Marie.