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Topic: Finite field

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  Finite field - Wikipedia, the free encyclopedia
Finite fields are important in number theory, algebraic geometry, Galois theory, cryptography, and coding theory.
The multiplicative group of every finite field is cyclic, a special case of a theorem mentioned here in the article about fields.
Finite fields also find applications in coding theory: many codes are constructed as subspaces of vector spaces over finite fields.
en.wikipedia.org /wiki/Finite_field   (1272 words)

 Hidden Field Equations public key cryptosystem home page (HFE)   (Site not responding. Last check: 2007-10-21)
The simplest finite field is a prime field
as all finite fields of given cardinal are isomorphic.
The complexity of relinearization depends on the number of unknowns and equations not on the size of inputs or outputs.
www.minrank.org /hfe   (4586 words)

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