ConstruÃÃo de cÃdigos de bloco lineares via transformadas digitais
AUTOR(ES)
Eduarda SimÃes Veloso Freire
DATA DE PUBLICAÇÃO
2009
RESUMO
New families of error-correcting codes, created from the Fourier number theoretic transform (Fourier Codes) and from trigonometric transforms over finite fields (FFCT-4e and FFST-4e Codes), are introduced in this dissertation. The code parity-check matrix, its dimension and minimum distance are obtained from the eigenstructure of the unitary Fourier number theoretic transform and from the finite field sine and cosine transform. A decoding technique for the Fourier Codes is proposed. Regarding the FFCT-4P and FFST- 4P Codes, our results show that some of the constructed codes are maximum distance separable (MDS) codes.
ASSUNTO(S)
error correcting codes engenharia eletrica cÃdigos corretores de erros engenharia elÃtrica transformadas digitais digital transforms
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