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http://hdl.handle.net/20.500.12358/21381
TitleDuadic Codes over Finite Commutative Rings
Title in Arabicتراميز 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.

Authors
Al-awar, Ikhlas Ibraheem Diab
Supervisors
Al-ashker, Mahammed Mahmoud
Typeرسالة ماجستير
Date2014
LanguageEnglish
Publisherالجامعة الإسلامية - غزة
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  • PhD and MSc Theses- Faculty of Science [445]
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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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The institutional repository of the Islamic University of Gaza was established as part of the ROMOR project that has been co-funded with support from the European Commission under the ERASMUS + European programme. This publication reflects the views only of the author, and the Commission cannot be held responsible for any use which may be made of the information contained therein.

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