# Composed Product and Factorization of Cyclotomic Polynomials Over Finite Fields

Alshareef, Zynab

2018

## Abstract:

Let $q=p^e$ be a power of prime number $p$ and $\fq$ be a finite field with $q$ elements. Let $\Phi_n$ be the $nth$ cyclotomic polynomial over $\fq$ such that $q$ is congruent to $\pm 1$ modulo each prime divisor of $n$. We use composed products to obtain an explicit factorization of $\Phi_n$ over the finite field $\fq$.

Mathematics

English

## Publisher:

Carleton University

## Thesis Degree Name:

Master of Science:
M.Sc.

Master's

Pure Mathematics

## Parent Collection:

Theses and Dissertations