Document Details

Document Type : Thesis 
Document Title :
Structure of Self-orthogonal Codes over Non-unital Rings
بناء الترميزات ذاتية التعامد على الحلقات الغير أحادية
 
Subject : Faculty of Science 
Document Language : Arabic 
Abstract : There are particular local rings E and I of order 4; without multiplicative identity, E (non-commutative) and I (commutative) defined by E= I= We study the algebraic structure of linear codes over these rings, in particular their residue and torsion codes. We introduce the notion of quasi self-dual codes over E and I, and Type IV codes, that is quasi self-dual codes all codewords of which have even Hamming weight. We study the weight enumerators of these codes over E by means of invariant theory, and classify them for short lengths. Further, for the ring I we defined quasi Type IV codes to be QSD codes with an even torsion code. We give a mass formula for QSD codes, and for quasi Type IV codes, and classify both of these also for short lengths. 
Supervisor : Prof. Adel Nayef Al-Ahmadi 
Thesis Type : Doctorate Thesis 
Publishing Year : 1442 AH
2020 AD 
Added Date : Sunday, March 14, 2021 

Researchers

Researcher Name (Arabic)Researcher Name (English)Researcher TypeDr GradeEmail
وديان حسن باصفارBasaffar, Widyan HassanResearcherDoctorate 

Files

File NameTypeDescription
 46957.pdf pdf 

Back To Researches Page