Main Page
Deanship
The Dean
Dean's Word
Curriculum Vitae
Contact the Dean
Vision and Mission
Organizational Structure
Vice- Deanship
Vice- Dean
KAU Graduate Studies
Research Services & Courses
Research Services Unit
Important Research for Society
Deanship's Services
FAQs
Research
Staff Directory
Files
Favorite Websites
Deanship Access Map
Graduate Studies Awards
Deanship's Staff
Staff Directory
Files
Researches
Contact us
عربي
English
About
Admission
Academic
Research and Innovations
University Life
E-Services
Search
Deanship of Graduate Studies
Document Details
Document Type
:
Thesis
Document Title
:
CYCLIC AND QUASI-CYCLIC DNA CODES
ترميزات الحمض النووي الدائرية وشبه الدائرية
Subject
:
Faculty of Science
Document Language
:
Arabic
Abstract
:
In this thesis, we define the Gau map and distance for the commutative ring Z_4+ωZ_4 where ω^2=2. We discuss DNA codes that are cyclic or quasi-cyclic over Z_4+ωZ_4, where ω^2=2+2ω, along with methods to construct these with combinatorial constraints. We also generalize results obtained for the ring Z_4+ωZ_4, where ω^2=2+2ω, and some other rings to the sixteen rings R_(θ)=Z_4+ωZ_4, where ω^2=θ∈Z_4+ωZ_4, using the generalized Gau map and Gau distance in [3]. We determine a relationship between the Gau distance and Hamming distance for linear codes over the sixteen rings R_(θ) which enables us to attain an upper boundary for the Gau distance of free codes that are self-dual over the rings R_(θ).
Supervisor
:
Prof. Adel Al-Ahmadi
Thesis Type
:
Master Thesis
Publishing Year
:
1441 AH
2020 AD
Co-Supervisor
:
Dr. Hatoon Shoaib
Added Date
:
Sunday, July 12, 2020
Researchers
Researcher Name (Arabic)
Researcher Name (English)
Researcher Type
Dr Grade
Email
أماني طالب اليوبي
Alyoubi, Amani Taleb
Researcher
Master
Files
File Name
Type
Description
46617.pdf
pdf
Back To Researches Page