750 karma · joined September 28, 2010
>a full repeat instantaneously destroys security with a single pair of signatures
Roughly--assuming ECDSA parameters (H,K,E,q,G)--where H is a hash function, E the Elliptic Curve over finite field K w/ point G of prime order q. Suppose two different messages m and m' have been signed with private key x using the same (non-ephemeral) random nonce value of k.
According to ECDSA Signing these messages m, m' become signatures (r,s), and (r',s') where;
r = r' = kG,
s = (H(m) + x*r)/k mod q,
s' = (H(m') + x*r)/k mod q.
Observe that, (H(m) + x*r)/s = k = (H(m') + x*r)/s' mod q.
Or, x*r(s' - s) = s*H(m') - s'*H(m) mod q.
Which allows us to recover the private key x.Since,
x = s*H(m') - s'*H(m) / r*(s' - s) mod q.>Some authors even applied the name "kangaroo" to any random walk in a cyclic group. This is zoologically absurd (a kangaroo cannot jump in one bound to another continent) - and mathematically confusing.
Spurred by this thread and especially after studying BSGS and the Pollard Rho for DLP set of algorithms more in depth over the last few days; I found his clarification and justification regarding the "taxonomy" of these methods entertaining and enlightening. Thanks again.
>3.2. Does NSA have an $n^{1/3}$-algorithm for finding elliptic curve discrete logs? ...
In 2013 Bernstein and Lange described such an algorithm albeit with intractable pre-computation costs. [https://www.iacr.org/conferences/asiacrypt2013/slides/44.pdf]
In the paper Koblitz and Menezes say "it is conceivable that the NSA has found (or believes that there might exist) a similar algorithm that requires far less precomputation."
This made we wonder; are there any historic example(s) of an algorithm we have improved over time which lead to the side stepping of a previously unavoidable and large pre-computation?
>1.12 Definition
>A function f from a set X to a set Y is called a one-way function if f(x) is “easy” to compute for all x \in X but for “essentially all” elements y \in Im(f) it is “computationally infeasible” to find any x \in X such that f(x) = y. [0]
>1.16 Definition
>A trapdoor one-way function is a one-way function f : X -> Y with the additional property that given some extra information (called the trapdoor information) it becomes feasible to find for any given y \in Im(f), an x \in X such that f(x) = y. [0]
[0]; Menezes, A.; Oorschot, P. van; Vanstone, S. (2001). Handbook of Applied Cryptography (5th ed.). CRC Press.
# Opening Remarks with Alex Stamos
https://news.yahoo.com/video/yahoo-trust-unconference-alex-s...
# Trust and the Future of SV with Alex Stamos and Frank Chen
https://news.yahoo.com/video/yahoo-trust-unconference-firesi...
E2E Encryption with Yan Zhu
https://news.yahoo.com/video/yahoo-trust-unconference-e2e-en...
Zerocash with Zooko Wilcox-O’Hearn
https://news.yahoo.com/video/yahoo-trust-unconference-zeroca...
TLS with Adam Langley
https://news.yahoo.com/video/yahoo-trust-unconference-tls-ad...
Secure Messaging with Trevor Perrin
https://news.yahoo.com/video/yahoo-trust-unconference-secure...
Legislation and Let’s Encrypt with the EFF
https://news.yahoo.com/video/yahoo-trust-unconference-legisl...
Not sure about the article; personally it's helped me be able to adapt quickly in lots of foreign places and realize that with a little time and enough "banging your head against a desk" anything can be understood (even Cyrillic alphabets).
(* generic red-black-tree in Standard Jersey ML *)
type key = string
datatype color = R | B
datatype tree = E | T of (color * tree * key * tree)
fun rbmem (x, E) = false
| rbmem (x, T (_,a,y,b)) =
if x < y then rbmem (x,a)
else
if x > y then rbmem (x,b)
else
true
fun balance ( (B,T (R,T (R,a,x,b),y,c),z,d)
| (B,T (R,a,x,T (R,b,y,c)),z,d)
| (B,a,x,T (R,T (R,b,y,c),z,d))
| (B,a,x,T (R,b,y,T (R,c,z,d)))) = T (R,T (B,a,x,b),y,T (B,c,z,d))
| balance body = T body
fun insert (x,s) =
let fun ins E = T (R,E,x,E)
| ins (s as T (color,a,y,b)) =
if x < y then balance (color,(ins a),y,b)
else if x > y then balance (color,a,y,(ins b))
else s
val T (_,a,y,b) = ins s (* guaranteed to be non-empty *)
in T (B,a,y,b)
endI've used Amazon Linux AMI's since 2012 on several different instances. At first `ps aux` you might think you are using *BSD!
Here are two useful links.
Regarding Amazon Linux AMI security updates; https://alas.aws.amazon.com/
`http://en.wikisource.org/wiki/Science_and_Hypothesis',
`http://en.wikisource.org/wiki/The_Measure_of_Time'.
In French, most of Poincare's original works can be read here;
`http://henripoincarepapers.univ-lorraine.fr/bibliohp/index.p....
It seems warm and fuzzy to think Sam, and the implicit company he keeps (the ultra rich)--who are "leveraging not only their abilities and luck" but already accrued wealth--can and will redistribute it. Anyone who wasn't born yesterday will simply laugh at this prospect.
I'm not sure why Sam feels the need to call what most of the world is doing worthless. I think it's crude and indicative of a narrow social and cultural experience (which surprises me considering his position).
Believe it or not, there are cultures and groups of people who do not revere technology the way most North Americans do.
Also, a good exercise for Sam (and others possessing a similar world view) might be to think about how many "worthless" people and jobs it takes to accomplish the things he does (including this blog post).
Could you share some information regarding Haskell and it's 'modularity' problem (vs. the ML family of languages). I'm fond of the way SML projects can be structured. How are people solving this using Haskell? Are there any interesting solutions for creating modular Haskell application/system's I can see today?
Thanks for your comment.
Check out `http://wiki.tcl.tk/' (which has lot's of good information).
Also learn some Tcl by reading the redis test suite here,
I've always anticipated winter with a similar sentiment--I like the way this was said.
`https://news.ycombinator.com/item?id=5872043'.
And links to the `greatest of the great' papers;
`Verification of a Cryptographic Primitive: SHA-256',
https://www.cs.princeton.edu/~appel/papers/verif-sha.pdf.
And don't forget about `CompCert C compiler',
http://compcert.inria.fr/compcert-C.html.
Or the `Vellvm' project,
I always find you can learn so much from an accomplished artist. They seem to know about everything!
This was one of my favourite parts ...
> Yes, I use pencil first. With Genesis, because there was so much technical stuff that I had to do, especially drawing correct anatomy, I would often make a sketch first on a piece of scrap paper, try and get it right before I started penciling on the drawing paper. How’s this angle, his arm, and the guy’s holding a tool, how does that look? I used Muybridge’s Animal Locomotion, from the late 1800s. It includes hundreds of photos of naked people in action, really handy for any kind of cartoon work where you have to draw people realistically in different actions and poses. Like the scene where Jacob is wrestling with the angel; fortunately there were pages of photos in Muybridge’s book of men wrestling.
This made me immediately search google for 'Muybridge Animal Locomotion'. I had seen the galloping horse images before, but had no idea Muybridge published 700+ such studies in 1887. [0] UPenn has some of them archived digitally. [1]
[0] http://en.wikipedia.org/wiki/Eadweard_Muybridge [1] http://dla.library.upenn.edu/dla/archives/search.html?q=muyb...
For those of you unfamiliar with his work. He created a lot iconic imagery -- including the signage and maps for the subway system in New York City.
A quick google search or visit to [0] will reveal his talent. Btw, I always thought this website was quite poorly designed considering the Vignelli's abilities.
[0] http://vignelli.com/home.html
Rest in peace Massimo!
Knuths response to Tarjans Q15 was particularly interesting since he was able to illustrate his insight with a concrete example;
>Thus I think the present state of research in algorithm design misunderstands the true nature of efficiency. The literature exhibits a dangerous trend in contemporary views of what deserves to be published.
> Another issue, when we come down to earth, is the efficiency of algorithms on real computers. As part of the Stanford GraphBase project I implemented four algorithms to compute minimum spanning trees of graphs, one of which was the very pretty method that you developed with Cheriton and Karp. Although I was expecting your method to be the winner, because it examines much of the data only half as often as the others, it actually came out two to three times worse than Kruskal's venerable method. Part of the reason was poor cache interaction, but the main cause was a large constant factor hidden by O notation.