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 TypeDr GradeEmail
أماني طالب اليوبيAlyoubi, Amani TalebResearcherMaster 

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 46617.pdf pdf 

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