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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Sobre códigos cíclicos e abelianos / On cyclic codes and abelian codes

Melo, Fernanda Diniz de 19 March 2012 (has links)
Neste trabalho calculamos o peso e a dimensão de todos os códigos cíclicos de comprimento pn na álgebra de grupo FqCpn, onde p é um número primo e Fq é um corpo finito de característica q. Também calculamos o peso do código dado pela soma de dois códigos abelianos minimais em Fq(Cp × Cp), dessa forma foi possível fazer uma breve comparação entre códigos cíclicos e abelianos não cíclicos de comprimento p2. / In this work we compute the weight and the dimension of all cyclic codes of length pn in the group algebra FqCpn, where p is a prime number and Fq is a finite field of characteristic q. Furthermore, we compute the weight of codes which are given by the sum of two minimal abelian codes in Fq(Cp × Cp). In this way, it was possible to compare briefly cyclic codes and non-cyclic abelian codes of length p2.

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