Duadic codes over finite commutative rings
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2014
English Abstract
-Duadic codes are a generalization of quadratic residue codes.
We obtain in this thesis quadratic residue codes over the chain ring F3+uF3; u2 = 0 and then obtain duadic codes for this ring.
Also, we give a construction of duadic codes over the rings Z4 and F2+uF2; u2 = 0: We give speci c constructions of these codes over nite elds and extend this construction to nite commutative chain rings Fq + uFq + u2Fq + ::: + us?1Fq with us = 0 where q = pr; p is a prime number and r 2 Z.
Main Subjects
No. of Pages
95
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Preliminaries.
Chapter Two : Duadic codes over fnite felds.
Chapter Three : Quadratic residue codes over fnite commutative rings.
Chapter Four : Duadic codes over fnite commutative chain rings.
References.
American Psychological Association (APA)
al-Awar, Ikhlas Ibrahim Diyab. (2014). Duadic codes over finite commutative rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531125
Modern Language Association (MLA)
al-Awar, Ikhlas Ibrahim Diyab. Duadic codes over finite commutative rings. (Master's theses Theses and Dissertations Master). Islamic University. (2014).
https://search.emarefa.net/detail/BIM-531125
American Medical Association (AMA)
al-Awar, Ikhlas Ibrahim Diyab. (2014). Duadic codes over finite commutative rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531125
Language
English
Data Type
Arab Theses
Record ID
BIM-531125
