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Reference request: Time and proofs of shared pasts

Is there research about structures for notions of time with distributed systems of information, as with blockchains? I am thinking of tuples $(I, T, P, A, \prec, s, \eta, u)$ where $I$, $T$ and $P$ ...
Gerrit Begher's user avatar
1 vote
0 answers
80 views

Encryption based on boolean satisfiability?

We got sketch of algorithm for public key encryption based on satisfiability of hidden boolean formula. It is easy to break in its current form, but we are interested if it can be improved. Alice ...
joro's user avatar
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0 votes
1 answer
210 views

Is it theoretically possible to find a factoring algorithm that runs in polynomial time? [closed]

Given that we don't know if P=NP, what's to stop someone from finding tomorrow an algorithm that makes prime factoring, or any other trap-door function reversing for that matter, computationally ...
c3200015's user avatar
3 votes
1 answer
382 views

Equivalence between Diffie Hellman and Discrete Log

For which non-trivial groups, do we know that the Diffie Hellman problem and the Discrete Log are equivalent? Is there any group for which we suspect them to be different? Could there be a finite ...
user avatar
6 votes
1 answer
304 views

Shortest vector problem over polynomials

In shortest vector problem, given a lattice in $\Bbb Z^n$, we seek the shortest non-zero vector in the lattice. This problem is computationally difficult. Answer in Evidence for integer factorization ...
Turbo's user avatar
  • 13.9k
1 vote
1 answer
205 views

Connection between inf-entropy rate and min-entropy

I am reading the paper "Generating random bits from an arbitrary source: fundamental limits" by Vembu and Verdu. This paper is written in the language of information theory, however, I need to ...
math-Student's user avatar
  • 1,109
2 votes
0 answers
44 views

largest size for a randomness extractor

I am not so expert in theoretical computer science, so sorry if the question is trivial, i just could not find it in literature. Suppose we have a source $X$ with min-entropy $\ell$, the randomness ...
math-Student's user avatar
  • 1,109
2 votes
0 answers
63 views

Private Randomness extractor

Suppose we are given two random variables $X$ and $Y$ with fixed marginal and joint distribution. What is the maximum randomness that we can extract from $Y$ that is independent from $X$, that is, if $...
math-Student's user avatar
  • 1,109
23 votes
5 answers
1k views

Securing privacy of "who communicates with whom" under Orwell-like conditions

Assume that there is a big and powerful country with an information-greedy secret service which has backdoors to all internet nodes throughout the world which permit him to observe all exchanged data ...
Stefan Kohl's user avatar
  • 19.6k
17 votes
5 answers
981 views

Mathematics of privacy?

I wonder to which extent the current public debate on privacy issues (not only by state sniffing, but e.g. by microtargetting ads too an issue) offers interesting questions in mathematics? Can we ...
Thomas Riepe's user avatar
  • 10.8k
1 vote
1 answer
288 views

Is it (believed to be) possible to algorithmically generate Diffie-Hellman tuples without "being able to know" one of the discrete logs involved (formal definition given in question)?

Is it (believed to be) possible, in the various standard examples of groups in which discrete log/Diffie Hellman are hard (including multiplicative groups in modular arithmetic and elliptic curves, ...
Michael Cohen's user avatar
8 votes
0 answers
1k views

Question on randomness extractors

Person A has a source $W$ with min-entropy($W$) = $k$. He also has an extra piece of information about the random source, denoted with $y$, such that min-entropy($W|y$) = $k/3$. The adversary doesn't ...
Omega's user avatar
  • 81