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discrete logarithm

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  • Discrete logarithm — In mathematics, specifically in abstract algebra and its applications, discrete logarithms are group theoretic analogues of ordinary logarithms. In particular, an ordinary logarithm loga(b) is a solution of the equation ax = b over the… …   Wikipedia

  • Discrete logarithm records — are the best results achieved to date in solving the discrete logarithm problem, which is the problem of finding solutions x to the equation gx = h given elements g and h of a finite cyclic group G. The difficulty of this problem… …   Wikipedia

  • Logarithm — The graph of the logarithm to base 2 crosses the x axis (horizontal axis) at 1 and passes through the points with coordinates (2, 1), (4, 2), and (8, 3) …   Wikipedia

  • Complex logarithm — A single branch of the complex logarithm. The hue of the color is used to show the arg (polar coordinate angle) of the complex logarithm. The saturation (intensity) of the color is used to show the modulus of the complex logarithm. The page with… …   Wikipedia

  • List of logarithm topics — This is a list of logarithm topics, by Wikipedia page. See also the list of exponential topics.*Acoustic power *antilogarithm *Apparent magnitude *Bel *Benford s law *Binary logarithm *Bode plot *Henry Briggs *Cologarithm *Common logarithm… …   Wikipedia

  • Integral logarithm — The term integral logarithm may stand for: * Discrete logarithm in algebra, * Logarithmic integral function in calculus …   Wikipedia

  • Elliptic curve cryptography — (ECC) is an approach to public key cryptography based on the algebraic structure of elliptic curves over finite fields. The use of elliptic curves in cryptography was suggested independently by Neal Koblitz[1] and Victor S. Miller[2] in 1985.… …   Wikipedia

  • IEEE P1363 — is an Institute of Electrical and Electronics Engineers (IEEE) standardization project for public key cryptography. It includes specifications for: Traditional public key cryptography (IEEE Std 1363 2000 and 1363a 2004) Lattice based public key… …   Wikipedia

  • Index calculus algorithm — In group theory, the index calculus algorithm is an algorithm for computing discrete logarithms. This is the best known algorithm for certain groups, such as mathbb{Z} m^* (the multiplicative group modulo m ).Dubious|date=April 2008 Description… …   Wikipedia

  • Pollard's lambda algorithm — In mathematics, specifically computational number theory and computational algebra, Pollard s lambda algorithm (aka Pollard s kangaroo algorithm, see Naming below) is an algorithm for solving the discrete logarithm. The algorithm was introduced… …   Wikipedia

  • Proof of knowledge — In cryptography, a proof of knowledge is an interactive proof in which the prover succeeds convincing a verifier that it knows something. What it means for a machine to know something is defined in terms of computation. A machine knows something …   Wikipedia

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