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http://hdl.handle.net/20.500.12358/21381
Title | Duadic Codes over Finite Commutative Rings |
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Title in Arabic | تراميز دواديك على حلقات تبديلية منتهية |
Abstract |
Duadic codes are a generalization of quadratic residue codes. We obtain in this thesis quadratic residue codes over the chain ring F3+uF3; u2 = 0 and then obtain duadic codes for this ring. Also, we give a construction of duadic codes over the rings Z4 and F2+uF2; u2 = 0: We give specific constructions of these codes over finite fields and extend this construction to finite commutative chain rings Fq + uFq + u2Fq + ::: + us-1Fq with us = 0 where q = pr; p is a prime number and r ∈ Z. |
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Type | رسالة ماجستير |
Date | 2014 |
Language | English |
Publisher | الجامعة الإسلامية - غزة |
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License | ![]() |
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file_1.pdf | 674.7Kb |