Examples of 'finite field' in a sentence
Meaning of "finite field"
In mathematics, a finite field, also known as a Galois field, is a field that contains a finite number of elements
How to use "finite field" in a sentence
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finite field
Let q be the finite field with q elements.
Let q be the number of elements in a finite field.
Every finite extension of a finite field is a cyclic extension.
Is based on calculating discrete logarithms in a finite field.
Any finite extension of a finite field is a cyclic extension.
Every finite field is a residue field of a number field.
Have what mathematicians call a finite field.
A finite field is a set of numbers with four generalized operations.
I have to factor a univariate polynomial over a finite field.
Every other finite field is isomorphic to one of these fields.
Affine transformation over a finite field.
Finite field extension.
Electronic circuit for modular computation in a finite field.
That every finite field.
Sieving irreducible monic polynomials over a finite field.
See also
The ring of integers modulo n is a finite field if and only if n is prime.
Another example is an elliptic curve over a finite field.
Finite field calculator.
The multiplicative group of a finite field.
Do not confuse a finite field extension with a finitely generated field extension.
Primitive polynomials are used in the representation of elements of a finite field.
This exploits the property that every finite field contains generators.
It is a method to represent elements of a subgroup of a multiplicative group of a finite field.
Every finite field is a simple extension of the prime field of the same characteristic.
These properties were calculated using the numerical method of finite field.
The arithmetic operators carry out finite field addition or multiplication on a complete symbol.
This provides a bound on the number of points on a curve over a finite field.
Let Fq be a finite field with q elements.
The security is based on the difficulty of calculating discrete logarithms in a finite field.
The field Fq is defined as a finite field of prime order q.
We study also the infinite dimensional unitary grassmann algebra e over a finite field.
A finite field or Galois field is a field with a finite order number of elements.
It gets its security from the difficulty of calculating discrete logarithms in a finite field.
Consider the finite field Fp.
This encryption system is based on the difficulty of the discrete logarithm in a finite field.
The absolute Galois group of a finite field K is isomorphic to the group.
Elliptic curve algorithms work in a cyclic subgroup of an elliptic curve over a finite field.
Finite field A field with finitely many elements.
We consider semisimple group algebras fqg of non abelian split metacyclic groups over a finite field.
A finite field F is not algebraically closed.
Our construction also allows for the secure multiplication ofany number of elements of a finite field.
Over the finite field p of characteristics p =.
The masking operation may correspond to the addition within the finite field considered here.
Let k be a finite field and k1the unitary associative free algebra, freely generated by x.
The invention concerns a method for evaluating a function over a finite field and an associated device.
Let Fq be the finite field of q elements, where q pe.
Most AES calculations are done in a particular finite field.
The non-zero elements of a finite field form a multiplicative group.
Most AES calculations are done in a special finite field.
Conversely, every nonzero element in a finite field is a root of unity in that field.
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