Composed Product and Factorization of Cyclotomic Polynomials Over Finite Fields

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Creator: 

Alshareef, Zynab

Date: 

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 $\fq$.

Subject: 

Mathematics

Language: 

English

Publisher: 

Carleton University

Thesis Degree Name: 

Master of Science: 
M.Sc.

Thesis Degree Level: 

Master's

Thesis Degree Discipline: 

Pure Mathematics

Parent Collection: 

Theses and Dissertations

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