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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: 20071021)
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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