In cryptography, a discrete logarithm is the number of times a generator of a group must be multiplied by itself to produce a known number. By choosing certain groups, the task of finding a discrete logarithm can be made intractable.
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Would the ability to efficiently find Discrete Logs have any impact on the security of RSA?
This answer makes the claim that the Discrete Log problem and RSA are independent from a security perspective.
RSA labs makes a similar statement:
The discrete logarithm problem bears the same ...
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Are safe primes $p=2^k \pm s$ with $s$ small less recommandable than others as a discrete log modulus?
I take the definition of safe prime as: a prime $p$ is safe when $(p-1)/2$ is prime.
Safe primes of appropriate size are the standard choice for the modulus of cryptosystems related to the discrete ...
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iterated discrete log problem
Consider the following problem: given $g_1 \ldots g_i,h_1 \ldots h_i \in G$, $\forall i$ find $x_i$ such that $g_i^{x_i}=h_i$
For $i=1$ this is the discrete log problem and is assumed to to have ...
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What is the relation between Discrete Log, Computational Diffie-Hellman and Decisional Diffie-Hellman?
How are the three problems Discrete Logarithm, Computational Diffie-Hellman and Decisional Diffie-Hellman related?
From my understanding, since the Discrete Log (DL) Problem is considered hard, then ...
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RSA security assumptions - does breaking the DLP also break RSA? [duplicate]
Possible Duplicate:
Would the ability to efficiently find Discrete Logs have any impact on the security of RSA?
I'm wondering if breaking the DLP, that is the basis for ElGamal and DSA, ...
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How hard are discrete logarithms problems in $\mathbb Z^{*}_{n}$ and $\mathbb Z^{*}_{n^2}$, where $n$ is the RSA $n=pq$
Use the notations form the Wikipedia article Paillier Cryptosystem
, assume that the chipertext $c$ and $c^{\lambda} \mod n^2$ are both given, is it possible to compute $\lambda$ easily?
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A discrete-log-like problem, with matrices: given $A^k x$, find $k$
Let $p$ be a large prime; we will work in $GF(p)$. Let $A$ be a $n\times n$ matrix. Also, let $x$ be a $n$-vector and $k$ a positive integer.
Suppose we are given $p$, $A$, $x$, and $y$. The goal ...
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Finding where I am in a linear recurrence relation
Suppose I have a linear recurrence relation
$$a(n) = c_1 a(n-1) + \dots + c_k a(n-k) + d,$$
where the constants $c_1,\dots,c_k,d$ are given and the initial values $a(0),\dots,a(k-1)$ are given as ...
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Probability that an attacker wins the discrete logarithm game when exponents are drawn from a subset
Suppose $g$ is a generator of an order $p$ cyclic group in which discrete logarithm is hard and $p$ is a prime (i.e., given $g^x$ for a random $x \in \{0,1,\ldots, p-1\}$, it is hard to recover $x$ ...
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Is there a practical zero-knowledge proof for this special discrete log equation?
We have a multiplicative cyclic group $G$ with generators $g$ and $h$, as in El Gamal. Assume $G$ is a subgroup of $(\mathbb{Z}/n\mathbb{Z})^*$. There are two parties, Alice and Bob:
Alice knows: ...
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Why are elliptic curve variants of RSA “chiefly of academic interest”?
Yesterday I was thinking about elliptic curve variants of popular protocols/algorithms (ECDH, ECES[1], etc) and the thought occured that I had never seen an elliptic curve variant of RSA. My ...
