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Tool for a fast finite-field arithmetic
Zech logarithms are used to implement addition in finite fields when elements are represented as powers of a generator α {\displaystyle \alpha } . Zech
Zech's_logarithm
Mathematical function, inverse of an exponential function
the logarithm of a number is the exponent by which another fixed value, the base, must be raised to produce that number. For example, the logarithm of
Logarithm
Name list
Harry Zech (born 1969), Liechtenstein footballer Julius August Christoph Zech (1821–1864), German astronomer Zech's logarithm Julius von Zech-Burkersroda
Zech
Generator of the multiplicative group of a finite field
contains φ(m) generators. Simple extension Primitive element theorem Zech's logarithm Lidl, Rudolf; Harald Niederreiter (1997). Finite Fields (2nd ed.).
Primitive element (finite field)
Primitive_element_(finite_field)
German astronomer and mathematician
Zech published a table of logarithms; as a result, Zech logarithms for finite fields are named after him. In 1863, Zech attended the founding meeting
Julius_August_Christoph_Zech
subtraction logarithms or Gaussian logarithms can be utilized to find the logarithms of the sum and difference of a pair of values whose logarithms are known
Gaussian_logarithm
Algebraic structure
is convenient to define the discrete logarithm of zero as being − ∞ {\displaystyle -\infty } ). Zech's logarithms are useful for large computations, such
Finite_field
Method of multiplying small numbers using lookup tables
added to produce results. The technique is similar to Zech logarithms (also known as Jacobi logarithms), but uses a system of indices original to Ludgate
Irish_logarithm
Computer representation of real numbers
arithmetic (LI) and symmetric level-index arithmetic (SLI) Gaussian logarithm Zech's logarithm ITU-T G.711 A-law algorithm μ-law algorithm Slide rule Lee, Samuel
Logarithmic_number_system
Arithmetic in a field with a finite number of elements
avoid side channels and is therefore suitable for use in cryptography. Zech's logarithm Hankerson, Vanstone & Menezes 2004, p. 28 The roots of such a polynomial
Finite_field_arithmetic
completely free element. Dual basis in a field extension Polynomial basis Zech's logarithm Nader H. Bshouty; Gadiel Seroussi (1989), Generalizations of the normal
Normal_basis
maker of scientific instruments, astronomer, and independent inventor of logarithms MPC · 2481 2482 Perkin 1980 CO Richard S. and Gladys T. Perkin of Perkin-Elmer
Meanings of minor-planet names: 2001–3000
Meanings_of_minor-planet_names:_2001–3000
ZECHS LOGARITHM
ZECHS LOGARITHM
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ZECHS LOGARITHM
ZECHS LOGARITHM
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ZECHS LOGARITHM
ZECHS LOGARITHM
ZECHS LOGARITHM