Examples of 'finite fields' in a sentence
Meaning of "finite fields"
In mathematics, this phrase refers to a specific type of mathematical structure known as a finite field. A finite field is a field (a mathematical object with certain properties) that contains a finite number of elements. Finite fields have applications in various areas of mathematics, computer science, and cryptography
How to use "finite fields" in a sentence
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finite fields
All finite fields of a given order are isomorphic.
Indiscreet logarithms in finite fields of small characteristic.
Rational points on curves over finite fields.
We now construct finite fields in a different way.
The discrete logarithm problem in finite fields.
All finite fields are extensions of these.
Constructing irreducible polynomials over finite fields.
They are the finite fields of orders up to and including eight.
His method uses finite fields.
The other finite fields can be constructed in a similar fashion.
This immediately excludes finite fields.
Finite fields are also used in coding theory and combinatorics.
These computations occurs in the context of finite fields.
Some small finite fields.
They could even be implemented on different finite fields.
See also
Finite fields prepare the student for coding theory.
Description and properties of finite fields.
Any two finite fields with the same order are isomorphic.
Theory and applications of finite fields.
Matrix representations over finite fields for all the sporadic groups have been constructed.
Important examples are linear algebraic groups over finite fields.
The concept of elliptic curves over finite fields is widely used in elliptic curve cryptography.
See also general linear group over finite fields.
Polynomials over finite fields which commute with translations Proc.
There are no other finite fields.
Finite fields appear in the following chain of inclusions:.
Each method is based on the discrete logarithm in finite fields.
Gauss sums are the analogues for finite fields of the Gamma function.
More details are given about vector spaces over finite fields.
For example, all finite fields are perfect.
The computer construction of matrix representations of finite groups over finite fields.
In particular, finite fields can not be ordered.
One important instance of the previous example is the construction of the finite fields.
To use a jargon, finite fields are perfect.
One such family of groups is the family of general linear groups over finite fields.
As a consequence, analogues over finite fields could be defined.
Original algorithms are presented for decomposing polynomial sets into simple triangular sets over finite fields.
Classification of finite fields.
The finite fields are completely known, as will be described below.
Most of the direct methods make use of special properties of finite fields or congruences.
Vector spaces defined over finite fields play a significant role, especially in construction methods.
The Lagrange polynomial can also be computed in finite fields.
The representations of the E8 groups over finite fields are given by Deligne-Lusztig theory.
Chevalley groups can be thought of as Lie groups over finite fields.
Finite fields are often called Galois fields, and are abbreviated as GF ( p ) or GFp m.
On the number of points on abelian and Jacobian varieties over finite fields.
It is the union of the finite fields containing Fq ( the ones of order qn ).
De Bruijn sequences can also be constructed using shift registers or via finite fields.
The finite fields Fq are quantum deformations of F1, where q is the deformation.
We have seen that the Galois theory of finite fields is very very easy.
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Examples of using Fields
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I was told to take you straight to the fields
Red stars indicate fields that are mandatory
Examples of using Finite
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The fixed and finite nature of land
All finite fields of a given order are isomorphic
A set that is not finite is called infinite
