• العربية
    • English
  • English 
    • العربية
    • English
  • Login
Home
Publisher PoliciesTerms of InterestHelp Videos
Submit Thesis
IntroductionIUGSpace Policies
JavaScript is disabled for your browser. Some features of this site may not work without it.
View Item 
  •   Home
  • Faculty of Science
  • PhD and MSc Theses- Faculty of Science
  • View Item
  •   Home
  • Faculty of Science
  • PhD and MSc Theses- Faculty of Science
  • View Item

Please use this identifier to cite or link to this item:

http://hdl.handle.net/20.500.12358/21354
TitleNegacyclic and Constacyclic Codes Over Finite Chain Rings
Untitled
Abstract

The negashift ν of Z4n is defined as the permeation of Z4n such that ν(a0, a1, ...., ai, ...., an-1)= (-an-1, a0, ...., ai, ....an-2) and negacyclic code of length n over Z4 is defined as a subset C of Z4n such that ν(C) = C. We prove that the Gray image of a linear negacyclic code over Z4 of length n is a binary distance invariant cyclic code. We introduce (1 + u)-constacyclic and cyclic codes over the ring R2 = F2 + uF2, and study them by analogy with the Z4 case. We prove that the Gray image of a linear (1 + u)-constacyclic code over R2 of length n is a binary distance invariant cyclic code. Also we define a Gray map between codes over R3 = F2+uF2+u2F2 and codes over F2. We prove that the Gray image of a linear (1 - u2)-constacyclic code over R3 of length n is a binary distance invariant linear quasi-cyclic code. Finally we define a new Gray map between Rk = F2 + uF2 + u2F2 + . . . + uk-1F2 and F22(k-1). We prove that the Gray image of a linear (1 - uk-1)-constacyclic code over Rk of length n is a binary distance invariant quasi-cyclic code of order k - 1.

Authors
Abu Dahrouj, Faisal Mohammed
Supervisors
Al-ashker, Mohammed Mahmoud
Typeرسالة ماجستير
Date2008
LanguageEnglish
Publisherthe islamic university
Citation
License
Collections
  • PhD and MSc Theses- Faculty of Science [445]
Files in this item
file_1.pdf392.4Kb
Thumbnail

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.

Contact Us | Send Feedback
 

 

Browse

All of IUGSpaceCommunities & CollectionsBy Issue DateAuthorsTitlesSubjectsSupervisorsThis CollectionBy Issue DateAuthorsTitlesSubjectsSupervisors

My Account

LoginRegister

Statistics

View Usage Statistics

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.

Contact Us | Send Feedback