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Finite geometries can be obtained from finite fields in which the coordinates of points are now elements of a finite field.
A finite field is a finite set of marks with two operations, addition and multiplication, subject to the usual nine laws of addition and multiplication obeyed by rational numbers.
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.
(3) Solving (LSEs) in a finite field.
Let (Bbbk ) be a finite field.
Packets are vectors of fixed size over a finite field.
So why not replace the infinite real number field with a finite field, a so-called Galois field?
In detail, let be a finite field and be an -dimensional space over.
Let C be a linear block code over a finite field F of block length n.
This part of polynomial evaluation is performed via using additions and multiplications in a finite field.
Let p be a prime number and (mathbb {F}_{p}) a finite field with p elements.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com