On 10/20/2014 3:50 PM, David Conrad wrote:
Unrelated to KSK change, but as we discussed it in the workshop...

https://kivo.com/p/h985rFcI, slides 37-39

Dr. Bernstein notes (page 38): "Analyses in 2003 concluded that RSA-1024 was breakable; e.g., 2003 Shamir-Tromer estimated 1 year, ≈ USD $10^7"

The paper he references is here http://www.tau.ac.il/~tromer/papers/cbtwirl.pdf

Hmm... one of the interesting things here is that the author estimates surface area of the equivalent silicon ASICs necessary for a given rate of breaking.  Given changes in processes (e.g. substantially more density for about the same prices per wafer) since 2003, I'm wondering if you can't get a 10 fold improvement for the same price?   E.g. call it 36 days to break a 1024bit key using 2014 ASIC technology and a $1m investment?  http://en.wikipedia.org/wiki/32_nanometer  has an interesting table.  2003 would have had 130 nm technology - 2014 is running about 14nm.



I'm a bit disappointed at the lack of caveats in Dr. Bernstein's slides.

Regards,
-drc

P.S. Also perhaps of note (although not directly related to key change), the last bit of slide 47 and slides 50-53.



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