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Doctoral Thesis
DOI
10.11606/T.45.2012.tde-30042012-215017
Document
Author
Full name
Anderson Tiago da Silva
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Paulo, 2012
Supervisor
Committee
Milies, Francisco Cesar Polcino (President)
Lobão, Thierry Corrêa Petit
Costa, Sueli Irene Rodrigues
Ferraz, Raul Antonio
Guerreiro, Marinês
Title in Portuguese
Códigos cíclicos sobre anéis de cadeia
Keywords in Portuguese
anéis de cadeia
anéis de grupo
códigos cíclicos
peso de códigos cíclicos.
Abstract in Portuguese
Neste trabalho, usamos uma abordagem de anéis de grupo para caracterizar códigos cíclicos sobre anéis de cadeia, seus duais e algumas condições sobre códigos auto-duais. Caracterizamos também os códigos cíclicos livres sobre anéis de cadeia e por fim exibimos uma fórmula para o peso de qualquer código cíclico sobre anéis de cadeia de comprimento e p^n 2p^n.
Title in English
Cyclic codes over chain rings
Keywords in English
chain rings
cyclic codes
group rings
weight of cyclic codes.
Abstract in English
In this thesis, we use an approach of group rings to characterize cyclic codes over chain rings, their duals and some conditions on self-dual codes. It also features free cyclic codes over chain rings and finally we show a formula for the weight of any cyclic code over chain rings of length p^n and 2p^n.
 
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tesefinal.pdf (688.07 Kbytes)
Publishing Date
2012-05-08
 
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