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Difference between Cryptography and Discrete logarithm

Cryptography vs. Discrete logarithm

Cryptography, or cryptology (from κρυπτός|translit. In mathematics, for given real numbers a and b, the logarithm logb a is a number x such that.

Algorithm

In mathematics and computer science, an algorithm is a finite sequence of mathematically rigorous instructions, typically used to solve a class of specific problems or to perform a computation.

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Computational hardness assumption

In computational complexity theory, a computational hardness assumption is the hypothesis that a particular problem cannot be solved efficiently (where efficiently typically means "in polynomial time").

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Diffie–Hellman key exchange

Diffie–Hellman (DH) key exchangeSynonyms of Diffie–Hellman key exchange include.

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Digital Signature Algorithm

The Digital Signature Algorithm (DSA) is a public-key cryptosystem and Federal Information Processing Standard for digital signatures, based on the mathematical concept of modular exponentiation and the discrete logarithm problem.

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ElGamal encryption

In cryptography, the ElGamal encryption system is an asymmetric key encryption algorithm for public-key cryptography which is based on the Diffie–Hellman key exchange.

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Elliptic curve

In mathematics, an elliptic curve is a smooth, projective, algebraic curve of genus one, on which there is a specified point.

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Elliptic-curve cryptography

Elliptic-curve cryptography (ECC) is an approach to public-key cryptography based on the algebraic structure of elliptic curves over finite fields.

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Export of cryptography

The export of cryptography is the transfer from one country to another of devices and technology related to cryptography.

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Integer factorization

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

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Modular arithmetic

In mathematics, modular arithmetic is a system of arithmetic for integers, where numbers "wrap around" when reaching a certain value, called the modulus.

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National Security Agency

The National Security Agency (NSA) is an intelligence agency of the United States Department of Defense, under the authority of the Director of National Intelligence (DNI).

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Number theory

Number theory (or arithmetic or higher arithmetic in older usage) is a branch of pure mathematics devoted primarily to the study of the integers and arithmetic functions.

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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 the field of cryptographic systems that use pairs of related keys.

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Quantum computing

A quantum computer is a computer that exploits quantum mechanical phenomena.

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Time complexity

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

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