Sentence examples for be a finite field from inspiring English sources

Letting GF q) be a finite field with q = ph elements, an n × r matrix with elements from the field is said to have the property Pt if any t rows are independent.

Let (Bbbk ) be a finite field.

In detail, let be a finite field and be an -dimensional space over.

The alphabet of the combined message, Z1 and Z2, is selected to be a finite field.

Let F be a finite field of characteristic not 2, and S⊆F a subset with three elements.

Let (Bbbk ) be a finite field of characteristic p. Then a sequence (win Bbbk ^omega ) is p-automatic if and only if the generating series (G_w(x)) is algebraic over (Bbbk (x)).

In this case, p is an integer and ( {F}_{q^p} ) is a finite field.

We model any biometric signal as an -dimensional vector from a feature space where is a finite field.

Also, a hash function ( h: mathbb {F}^{u}_{p}rightarrow mathbb {F}_{p} ), where ( mathbb {F}_{p} ) is a finite field of size p, is defined by the source node.

The Weil sum WK,d(a)="∑x∈Kψ xd+ax) where K is a finite field, ψ is an additive character of K, d is coprime to |K×|, and a∈K× arises often in number-theoretic calculations, and in applications to finite geometry, cryptography, digital sequence design, and coding theory.

It is obvious that Z p with the multiplication operation 〈a · b〉 p is a finite field of order p. For ∀ a, x ∈ Z p, we define an multiplication function f a (x) over Z p, i.e., f a ( x ) : = 〈 a · x 〉 p. (7).