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O que (quem) é discrete logarithms - definição

PROBLEM OF INVERTING EXPONENTIATION IN FINITE GROUPS

Discrete log problem; Discrete logarithm problem; Discrete logarithms; Discrete log; GDLP; Generalized discrete logarithm problem; Discrete Logarithm; Discrete Log; Discrete logorithm; Discrete logarithm assumption; DLOG; Discrete logarithm cryptography; Discrete Logarithm Problem (DLP); Discrete Logarithm Problem; Index (number theory)

Discrete logarithm

In mathematics, for given real numbers a and b, the logarithm logb a is a number x such that . Analogously, in any group G, powers bk can be defined for all integers k, and the discrete logarithm logb a is an integer k such that .

https://en.wikipedia.org/wiki/Discrete_logarithm

Discrete Laplace operator

ANALOG OF THE CONTINUOUS LAPLACE OPERATO

Discrete Schrödinger operator; Discrete Green's function; Discrete laplace operator; Discrete Schrodinger operator; Discrete Schroedinger operator; Discrete Laplacian operator; Laplace filter

In mathematics, the discrete Laplace operator is an analog of the continuous Laplace operator, defined so that it has meaning on a graph or a discrete grid. For the case of a finite-dimensional graph (having a finite number of edges and vertices), the discrete Laplace operator is more commonly called the Laplacian matrix.

https://en.wikipedia.org/wiki/Discrete_Laplace_operator

Discrete group

DISCRETE SUBGROUP OF A TOPOLOGICAL GROUP G IS A SUBGROUP H SUCH THAT THERE IS AN OPEN COVER OF H IN WHICH EVERY OPEN SUBSET CONTAINS EXACTLY ONE ELEMENT OF H; IN OTHER WORDS, THE SUBSPACE TOPOLOGY OF H IN G IS THE DISCRETE TOPOLOGY

Discrete subgroup; Discrete group theory

In mathematics, a topological group like G is called a discrete group if there is no limit point in it (i.e.

https://en.wikipedia.org/wiki/Discrete_group

Wikipédia

Discrete logarithm

In mathematics, for given real numbers a and b, the logarithm log_b a is a number x such that b^x = a. Analogously, in any group G, powers b^k can be defined for all integers k, and the discrete logarithm log_b a is an integer k such that b^k = a. In number theory, the more commonly used term is index: we can write x = ind_r a (mod m) (read "the index of a to the base r modulo m") for r^x ≡ a (mod m) if r is a primitive root of m and gcd(a,m) = 1.

Discrete logarithms are quickly computable in a few special cases. However, no efficient method is known for computing them in general. Several important algorithms in public-key cryptography, such as ElGamal base their security on the assumption that the discrete logarithm problem over carefully chosen groups has no efficient solution.

https://en.wikipedia.org/wiki/Discrete logarithm