Construction of irreducible polynomials over finite fields via polynomial composition

Özdemir, Funda (2012) Construction of irreducible polynomials over finite fields via polynomial composition. [Thesis]

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Official URL: http://192.168.1.20/record=b1489875 (Table of Contents)

Abstract

The construction of irreducible polynomials over finite fields is currently a strong subject of interest with important applications including coding theory and cryptography. One of the most popular methods of construction of irreducible polynomials is the method of composition of polynomials where irreducible polynomials of relatively higher degrees are generated from irreducible polynomials of relatively lower degrees. In this thesis, we give some polynomial composition methods and several applications of them.

Item Type:	Thesis
Uncontrolled Keywords:	Finite fields. -- Irreducible polynomials. -- Polynomial composition methods. -- Linearized polynomials. -- Primitive polynomials. -- Composed product. -- Sonlu cisimler. -- İndirgenemez polinomlar. -- Polinom bileşimi yöntemleri. -- Doğrusallaştırılmış polinomlar. -- İlkel polinomlar. -- Bileşke çarpım.
Subjects:	Q Science > QA Mathematics
ID Code:	24307
Deposited By:	IC-Cataloging
Deposited On:	05 Jul 2014 22:30
Last Modified:	25 Mar 2019 17:09

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