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4 votes
0 answers
137 views

Lattice reduction of basis with non-integer coefficients

Suppose I have an ordered basis $\{b_1, \dots, b_n\}$ of a lattice in $\mathbb{R}^n$, but I do not assume that $b_i \in \mathbb{Z}^n$ for all $1 \leq i \leq n$. I would like to perform lattice ...
george's user avatar
  • 554
1 vote
0 answers
83 views

What is the complexity of elgamal cryptosystem? [closed]

Its clear generation of keys based On cyclic group and its generator for z_p So my question Does finding the generator efect on complexity Moreove does the size of message M effect on the complexity?
Me_u090's user avatar
  • 11
6 votes
1 answer
417 views

Groups in which Computational Diffie Hellman is in $P$ but Discrete Logarithm is not known to be in $P$

The Computational Diffie Hellman (CDH) problem is to compute $g^{XY}$ given $g^X$ and $g^Y$ where $g$ generates the group. The Discrete Logarithm (DLOG) problem is to compute $X$ given $g^X$. The ...
Turbo's user avatar
  • 13.9k
3 votes
1 answer
708 views

Is strictly harder than NP-hard cryptography possible?

Looks like there is cryptography based on NP-hard problem, e.g. McEliece cryptosystem. The algorithm is an asymmetric encryption algorithm and is based on the hardness of decoding a general linear ...
joro's user avatar
  • 25.4k
4 votes
0 answers
245 views

Can we make cryptography signature algorithm based on hardness of isomorphism?

In public key cryptography, Alice knows functions $f$ and its inverse $f^{-1}$. $f$ is public and $f^{-1}$ is secret. To sign a message $m$, she gives $(m,a=f^{-1}(m))$. To verify a signature, the ...
joro's user avatar
  • 25.4k
2 votes
3 answers
398 views

Generating a set of integer passwords that can be securely authenticated

First, apologies for the title. This is an odd question, and I couldn't come up with a simple title for it. My question is as follows. Given a positive integer $k$, determine a set of properties $S$ ...
Vincent Tjeng's user avatar