Convolutional Goppa codes defined on fibrations

[EN]We define a new class of Convolutional Codes in terms of fibrations of algebraic varieties generalizing our previous constructions of Convolutional Goppa Codes (Domínguez Pérez et al. in AAECC 15:51–61, 2004 [1]; Muñoz Porras et al. in IEEE Trans. Inform. Theory 52(1):340–344, 2006; [16]). This...

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Detalhes bibliográficos
Autores: Iglesias Curto, José Ignacio, Muñoz Porras, José María, Plaza Martín, Francisco José, Serrano Sotelo, Gloria
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2012
País:España
Recursos:Universidad de Salamanca (USAL)
Repositório:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159347
Acesso em linha:http://hdl.handle.net/10366/159347
Access Level:Acceso aberto
Palavra-chave:Convolutional codes
Goopa codes
MDS codes
Finite fields
Descrição
Resumo:[EN]We define a new class of Convolutional Codes in terms of fibrations of algebraic varieties generalizing our previous constructions of Convolutional Goppa Codes (Domínguez Pérez et al. in AAECC 15:51–61, 2004 [1]; Muñoz Porras et al. in IEEE Trans. Inform. Theory 52(1):340–344, 2006; [16]). This general approach allow us to give convolutional codes with maximal error correction capability (Maximum Distance Separable).