Skew cyclic codes over finite rings
Other Title(s)
التراميز الدورية الملتوية على حلقات منتهية
Dissertant
Thesis advisor
Comitee Members
al-Mabhuh, Ahmad Abd al-Rauf
Naji, Abd al-Karim Abd al-Qadir
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2014
English Abstract
-In this thesis we study skew cyclic codes over nite rings.
The thesis consists of three parts: In the rst part we de ne skew cyclic codes, determine them over nite rings, and nd the relationships between skew cyclic codes and quasi cyclic codes.
In the second part we study self-dual skew codes over nite ring.
In the third part, we use ideal -constacyclic codes to de ne skew constacyclic codes over nite chain rings of the form Fpm + uFpm, where p is a prime number with u2 = 0, and skew constacyclic codes over nite non-chain rings of the form Fp + vFp, where p is a prime number with v2 = v.
iii
Main Subjects
No. of Pages
83
Table of Contents
Table of contents.
Abstract.
Introduction.
Chapter One : Fundamentals of rings and coding theory.
Chapter Two : Skew cyclic codes.
Chapter Three : Self-dual skew codes over finite ringssummary and conclusions.
Chapter Four : Skew constacyclic codes over finite ring.
Conclusion.
References.
American Psychological Association (APA)
Abu-Jazar, Akram Qasim Mahmud. (2014). Skew cyclic codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531201
Modern Language Association (MLA)
Abu-Jazar, Akram Qasim Mahmud. Skew cyclic codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University. (2014).
https://search.emarefa.net/detail/BIM-531201
American Medical Association (AMA)
Abu-Jazar, Akram Qasim Mahmud. (2014). Skew cyclic codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-531201
Language
English
Data Type
Arab Theses
Record ID
BIM-531201
