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Discrete logarithm and P versus NP problem

Shortcuts: Differences, Similarities, Jaccard Similarity Coefficient, References.

Difference between Discrete logarithm and P versus NP problem

Discrete logarithm vs. P versus NP problem

In the mathematics of the real numbers, the logarithm logb a is a number x such that, for given numbers a and b. 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. The P versus NP problem is a major unsolved problem in computer science.

Similarities between Discrete logarithm and P versus NP problem

Discrete logarithm and P versus NP problem have 10 things in common (in Unionpedia): Algorithm, Average-case complexity, General number field sieve, Integer factorization, National Security Agency, One-way function, Public-key cryptography, Quantum computing, Shor's algorithm, Time complexity.

Algorithm

In mathematics and computer science, an algorithm is an unambiguous specification of how to solve a class of problems.

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Average-case complexity

In computational complexity theory, the average-case complexity of an algorithm is the amount of some computational resource (typically time) used by the algorithm, averaged over all possible inputs.

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General number field sieve

In number theory, the general number field sieve (GNFS) is the most efficient classical algorithm known for factoring integers larger than.

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Integer factorization

In number theory, integer factorization is the decomposition of a composite number into a product of smaller integers.

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National Security Agency

The National Security Agency (NSA) is a national-level intelligence agency of the United States Department of Defense, under the authority of the Director of National Intelligence.

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One-way function

In computer science, a one-way function is a function that is easy to compute on every input, but hard to invert given the image of a random input.

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Public-key cryptography

Public-key cryptography, or asymmetric cryptography, is any cryptographic system that uses pairs of keys: public keys which may be disseminated widely, and private keys which are known only to the owner.

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Quantum computing

Quantum computing is computing using quantum-mechanical phenomena, such as superposition and entanglement.

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Shor's algorithm

Shor's algorithm, named after mathematician Peter Shor, is a quantum algorithm (an algorithm that runs on a quantum computer) for integer factorization formulated in 1994.

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Time complexity

In computer science, the time complexity is the computational complexity that describes the amount of time it takes to run an algorithm.

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The list above answers the following questions

Discrete logarithm and P versus NP problem Comparison

Discrete logarithm has 56 relations, while P versus NP problem has 146. As they have in common 10, the Jaccard index is 4.95% = 10 / (56 + 146).

References

This article shows the relationship between Discrete logarithm and P versus NP problem. To access each article from which the information was extracted, please visit:

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