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Discrete logarithm

In mathematics, for given real numbers a {\displaystyle a} and b {\displaystyle b} , the logarithm log b ⁡ ( a ) {\displaystyle \log _{b}(a)} is a number x {\displaystyle x} such that b x = a {\displaystyle b^{x}=a} . The discrete logarithm is an analogous concept in group theory. In any group G {\displaystyle G} , powers b k {\displaystyle b^{k}} can be…

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Definition

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Algorithms

Comparison with integer factorization

Cryptography

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Discrete logarithm

Nodes86
Edges85
Triples52
Avg. degree1.98
Density0.023256
Components1

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Discrete logarithm

Top relations

related to Modular arithmetic · 11
Discrete logarithm → For, Its, One, Regardless, The, This, Thus, To, When, Z17, Zp
related to Elliptic curve · 9
Discrete logarithm → Define, For, Given, If, In, Let, This, Weierstrass, When
related to Definition · 6
Discrete logarithm → An, Denote, For, Let, One, Similarly
related to Algorithms · 5
Discrete logarithm → For, It, The, Therefore, This
related to Cryptography · 5
Discrete logarithm → At, Both, In, There, This
related to Powers of 10 · 5
Discrete logarithm → For, Other, The, These, While
related to Properties · 5
Discrete logarithm → Conversely, For, If, In, Powers
is a · 1
Discrete logarithm → analogous concept in group theory
related to Comparison with integer factorization · 1
Discrete logarithm → While
related to Powers of the identity · 1
Discrete logarithm → In

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Important terminology

displaystyle group discrete logarithm log integer groups one number algorithm problem efficient modulo prime logarithms powers example finite order 10

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Discrete logarithmis aanalogous concept in group theory0.90text
the exponential function.In group-theoretic termsinstance ofrequire other concepts0.80text
the powers of 10 form a cyclic group Ginstance ofrequire other concepts0.80text
the U.Sinstance ofso called export grade.The authors of the Logjam attack estimate that the much more difficult precomputation needed to solve the discrete log problem for a 1024-bit prime would…0.80text
Discrete logarithmrelated to AlgorithmsThe0.60section
Discrete logarithmrelated to AlgorithmsFor0.60section
Discrete logarithmrelated to AlgorithmsThis0.60section
Discrete logarithmrelated to AlgorithmsIt0.60section
Discrete logarithmrelated to AlgorithmsTherefore0.60section
Discrete logarithmrelated to Comparison with integer factorizationWhile0.60section
Discrete logarithmrelated to CryptographyThere0.60section
Discrete logarithmrelated to CryptographyIn0.60section

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