Primitive element (finite field)
id:
primitive-element-finite-field-297-8880920
title:
Primitive element (finite field)
text:
In field theory, a primitive element of a finite field GF(q) is a generator of the multiplicative group of the field. In other words, α ∈ GF(q) is called a primitive element if it is a primitiveth root of unity in GF(q); this means that each non-zero element of GF(q) can be written as αi for some natural number i. If q is a prime number, the elements of GF(q) can be identified with the integers modulo q. In this case, a primitive element is also called a primitive root modulo q. For example, 2 i
brand slug:
wiki
category slug:
encyclopedia
description:
Generator of the multiplicative group of a finite field
original url:
https://en.wikipedia.org/wiki/Primitive_element_(finite_field)
date created:
date modified:
2024-01-23T18:49:20Z
main entity:
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image:
fields total:
13
integrity:
14