Applications of Hadamard Matrices for linear codes over finite rings
Other Title(s)
تطبيقات مصفوفات هادامارد لتراميز خطية على حلقات منتهية
Dissertant
Thesis advisor
University
Islamic University
Faculty
Faculty of Science
Department
Department of Mathematics
University Country
Palestine (Gaza Strip)
Degree
Master
Degree Date
2018
English Abstract
In this thesis we study the construction of Hadamard matrices over the finite chain ring Z4 and the ring F2+uF2, where u 2 = 0.
We extend these results to the ring F2+uF2+u 2F2, where u 3 = 0.
These results are generalized to the ring F2 + uF2 + .
.
.
+ u n−1F2, un = 0.
After that we study the relation between Hadamard code and Hadamard codes over non chin ring F2 + vF2, where v 2 = v and extend this study to the ring F2 + vF2 + v 2F2, wherev 3 = 1.
Finally we study the permutation decoding for Z4 linear Hadamard code.
Main Subjects
Topics
No. of Pages
78
Table of Contents
Table of contents.
Abstract.
Chapter One : Intoduction and preliminaries.
Chapter Two : The Hadamard codes over finite chain rings.
Chapter Three : The Hadamard codes of some special codes over non chain rings.
Chapter Four : Partial permutation decoding for Z4 linear Hadamard code.
References.
American Psychological Association (APA)
Mazid, Ala Yusuf Husayn. (2018). Applications of Hadamard Matrices for linear codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901167
Modern Language Association (MLA)
Mazid, Ala Yusuf Husayn. Applications of Hadamard Matrices for linear codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University. (2018).
https://search.emarefa.net/detail/BIM-901167
American Medical Association (AMA)
Mazid, Ala Yusuf Husayn. (2018). Applications of Hadamard Matrices for linear codes over finite rings. (Master's theses Theses and Dissertations Master). Islamic University, Palestine (Gaza Strip)
https://search.emarefa.net/detail/BIM-901167
Language
English
Data Type
Arab Theses
Record ID
BIM-901167
