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Re:How is NSA breaking so much crypto? (2015) by alkonaut on Saturday December 17, 2016 @07:02AM (#13200382)
What if 2048 bit was the standard? What if people used multiple passes with different primes? (That may not give any improved security, I'm. not familiar with the details).

It seems like a massive waste of energy and money to crack a few primes if the advantage you gain can be erased so quickly?

I agree it seems like writing custom bad crypto is way better than good crypto that can be broken in bulk. (Using both kinds together seems clever). A good analyst can likely break my homemade crypto in twenty minutes, but that's orders of magnitude better than using a compromised strong crypto!

Another question: Are good primes that hard to come by? Shouldn't apps generate new primes instead of re-using old ones?

Last question: are there good cryptos that aren't sensitive to a state level actor that can factor primes in linear time?

Re:How is NSA breaking so much crypto? (2015) by marcosdumay on Saturday December 17, 2016 @12:46PM (#13201571)
> Are good primes that hard to come by?

My laptop takes around 2 minutes to get a pair of 4k bits primes for DH parameters.

The problem is that people want their installers to be instantaneous. Those 2 minutes are too long.

Re:How is NSA breaking so much crypto? (2015) by alkonaut on Saturday December 17, 2016 @02:20PM (#13201975)
A popular app could ship with 100 different primes pre baked and pick one at random? Not perfect but 100x better than having one prime.
Re:How is NSA breaking so much crypto? (2015) by marcosdumay on Saturday December 17, 2016 @04:51PM (#13202881)
If those primes are compromised, 100 of them are still useless.
Re:How is NSA breaking so much crypto? (2015) by alkonaut on Sunday December 18, 2016 @03:54AM (#13204975)
Yes that's only useful under the original assumption of the article: that a state level actor must use a nontrivial part of its budget to factor one prime. The back of the envelope calculations if they did classical factorization is that one or a few 1024bit primes were possible but 100 were not. Of course next year they will have twice the CPU time, or a better quantum computer, so it's a short term win.
Re:How is NSA breaking so much crypto? (2015) by caf on Sunday December 18, 2016 @07:14AM (#13205520)
Elliptic curve cryptography is unrelated to the integer factorisation problem.