Let (pleft (x^{a}right)in F_{2}left [x;amathbb {Z}_{geq 0}right ]) be a primitive irreducible polynomial of degree s ∈{2l,3l,4l,6l}, where (lin mathbb {Z}^.) Then the corresponding bs degree generalized polynomial (pleft (x^{frac {a}{b}}right)) in (F_{2}left [x;frac {a}{b}mathbb {Z}_{geq 0}right ]) is non-primitive irreducible polynomial for b∈ {3,7,{3,5},{3,7}}, respectively.
Let p(x a )=1+x a +…+(x a ) s be a primitive irreducible polynomial in (F_{2}left [x;amathbb {Z}_{geq 0}right ],) where s∈{2l,3l,4l,6l}, where (lin mathbb {Z}^) such that α is its root and (alpha ^{2^{s}-1}=1).
It is also the multiplicative order of any root of q, and a divisor of p d - 1. q is called a primitive polynomial if n = p d - 1. .
Let F be a primitive of f.
Let χ be a primitive Dirichlet character with conductor d ∈ ℕ.
For with, let be a primitive Dirichlet character with conductor.
For with and, let be a primitive Dirichlet character modulo.
The primitive element α is a root of a primitive polynomial f(x), i.e., f = 0, where f(x) has the highest degree m and its coefficients are the elements of F p = { 0, 1, 2, …, p - 1 }.
The pen register was a primitive technology.
